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Geometry Vocabulary Project
Geometry vocabulary for the semester project
208
Mathematics
10th Grade
05/08/2010

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Cards

Term
Acute Angle
Definition
An angle less than 90 degrees but more than 0 degrees

An angle measuring 35 degrees
Term
Distance
Definition
The property created by the space between two objects or points

The distance from point A to point B is 15 cm
Term
Perpendicular Lines
Definition
Two lines that intersect to form right angles

The x axis and the y axis on a graph are perpendicular lines
Term
Acute Triangle
Definition
A triangle in which all three angles are acute

A triange with all angles measuring 60 degrees
Term
Exterior
Definition
Every point not included in any given figure

Every point outside of a hexagon
Term
Plane
Definition
An undefined term, has no space but is a flat mass of points that extends forever in all directions

The x and y axis form a plane
Term
Adjacent Angle
Definition
Angles that have a common ray coming out of the vertex going between two other rays

Supplementary angles are usually also adjacent angles
Term
Interior
Definition
Every point included in any given figure

All the points contained in a hexagon
Term
Point
Definition
An undefined term, any given spot on a plane, has no extension

Point (3,0) on a graph
Term
Angle
Definition
A figure formed by two lines, line segments, or rays that are connected at a point

The intersection of line AB and line CB creates an angle
Term
Line
Definition
A row of points that extends infinitely in both directions

The x-axis is a line
Term
Postulate
Definition
A proposition that is not proved or demonstrated but is accepted as true

"A line is defined by any two points" is a postulate
Term
Angle Bisector
Definition
A line, line segment, or ray that cuts an angle in half exactly

Line BD bisects angle ABC
Term
Line Segment
Definition
A portion of a line that has a begenning point and an endpoint

Line segment AB inside of line AC
Term
Ray
Definition
A line that has an endpoint and extends forever in one direction

Ray AB
------->
Term
Collinear
Definition
Two points are collinear if they are on the same line

Points A and B are collinear on line CD
Term
Linear Pair
Definition
The two supplementary adjacent angles formed by two intersecting lines

What is formed when the y-axis intersects the x-axis
Term
Right Angle
Definition
An angle which measures 90 degrees exactly

Perpendicular lines form right angles. Squares are made up of right angles
Term
Complimentary Angles
Definition
Two angles that add up to 90 degrees

An angle measuring 40 degrees and an angle measuring 50 degrees would be complimentary
Term
Midpoint
Definition
A point exactly in the middle of a line segment

The midpoint of a line segment with endpoints at (1,0) and (3,0) would have a midpoint at (2,0)
Term
Segment Bisector
Definition
Any line, segment or ray that intersects a segment at its midpoint

Line AB intersects line CBD at point B, the midpoint
Term
Congruent
Definition
Having the same shape, size, and angles

A square with area of 20cm is congruent to a square with an area of 20cm
Term
Obtuse Angle
Definition
An angle with a measure of over 90 degrees

An angle with a measure of 100 degrees
Term
Coplanar
Definition
The state of being on the same plane as another figure

Line A and line B both being on plane C
Term
Opposite Rays
Definition
Collinear rays with the same endpoint.

Two rays with the same endpoint that look like one line
Term
Space
Definition
The set of all possible points; made up of infinite planes

Point B, (5,0)
Term
Supplementary Angle
Definition
A pair of angles whose measures add up to 180 degrees

Angle A measures 70 degrees and angle B measures 110 degrees
Term
Degree
Definition
The unit angles are measured in

A triangle always has 180 degrees
Term
Perpendicular Bisector
Definition
A line, or line segment, that intersects a given line segment at its midpoint and forms right angles

Line A intersects line B creating two 90 degree angles and cutting line A at its midsegment
Term
Undefined Terms
Definition
The undefined terms in geometry are line, point, plane, and set

Line A, point B, plane C, and the set of point D
Term
Vertex
Definition
The point of intersection of lines or the point opposite the base of a figure

Lines A and B intersect at point C, the vertex
Term
Verticle Angles
Definition
The pair of angles that are directly across from each other when two straight lines intersect

Angle A and angle B are verticle angles
Term
Biconditional
Definition
A logical operator connecting two statements to assert "p if and only if q", where p is a hypothesis and q is a conclusion

It is raining if and only if there are clouds in the sky
Term
Compound Statement
Definition
A compound statement formed by joining two or more statements with the word and

It is raining and there are clouds in the sky
Term
Conclusion
Definition
The proposition arrived at by logical reasoning

If it is raining, then THERE ARE CLOUDS
Term
Conditional Statement
Definition
An "if then" statement. If P, then Q

If it is raining, there are clouds
Term
Conjecture
Definition
A conjecture is a proposition that is unproven but appears correct and has not been disproven

Sum of the measures of the interior angles in any triangle is 180 degrees
Term
Contrapositive
Definition
A statement where hypothesis and conclusion are reversed and negated, if not P then not Q

"If the sum of the figures angles does not equal 180, then it is not a triangle."
As opposed to "If it is a triangle then the sum of its angles is 180 degrees."
Term
Converse
Definition
A statement where the hypothesis and conclusion are reversed, if Q then P

"If the sum of the figure's angles is 180, then it is a triangle."
As opposed to "If the figure is a triangle, then the sum of its angles is 180 degrees."
Term
Counterexample
Definition
A specific example used to disprove something

Statement: "When you multiply two numbers the answer is always even."
Counterexample: "3x1=3"
Term
Deductive Reasoning
Definition
The process of reasoning logically from given statements to a conclusion

If triangle ABC has angles A 90 degrees, B 45 degrees, and C 45 degrees, than you can reason that it is a right triangle, because right triangles contain one 90 degree angle
Term
Flow Proof
Definition
A proof containing boxes and arrows containing statements and reasons that is used to prove a statement true
Term
Hypothesis
Definition
An educated guess, the IF part of an if...then statement

"If a plant does not get water,"
Term
If-Then Statement
Definition
A statement made in the form of "If this, then that"

"If a plant does not get water, then it will die."
Term
Inductive Reasoning
Definition
A process in which you make a conclusion based on known fact and observation, or repetition and pattern

If today is Saturday, then i know tomorrow will be Sunday because Sunday always comes after Saturday, and that is how the week is named
Term
Inverse
Definition
A statement in which both P and Q are negative, If not P then not Q

If it is not Saturday then tomorrow will not be Sunday
As opposed to If today is Saturday then tomorrow will be Sunday
Term
Negation
Definition
An operation on propositions, makes something the opposite of what it was.

The sentance "It is sunny" is negated by adding not, "It is not sunny"
Term
Paragraph Proof
Definition
A two-column proof written in paragraph form.

A two-column proof not written within a column but instead in a block paragraph
Term
Proof
Definition
A system that uses logic to prove a statement using properties and given statements

Prove: Circle A is equal to Circle B
Given: The radius of Circle A is 5, and the radius of Circle B is 5
Term
Properties
Definition
An attribute of an object, a fact about something that is specific to that object.

Addition and multiplication have the commutative property
Term
Statement
Definition
A declaritive statement that is either true or false

It is raining
Term
Theorem
Definition
A statement that is proved true on the basis of previously established statements

A triangle has 180 degrees
Term
Two-Column Proof
Definition
A proof where the statements are in one column and the reasons are in another, used to prove statements true or false
Term
Alternate Exterior Angles
Definition
Angles located outside a set of parallel lines and on opposite sides of the transversal
Term
Alternate Interior Angles
Definition
Angles located inside a set of parallel lines and on opposite sides of the transversal
Term
Consecutive Interior Angles
Definition
Angles on the same side of the transversal

They can also be lateral angles
Term
Corresponding Angles
Definition
Two angles in the same relative position on two lines when those lines are cut by a transversal

If you were to slide the lines ontop of eachother, they would be in the same place
Term
Equidistant
Definition
All points being equally distant from another point

The points on the edge of a circle
Term
Parallel Lines
Definition
Lines that will never intersect

The yellow lines on a highway are parallel
Term
Parallel Planes
Definition
Planes that will never intersect

Pages in a book are parallel planes
Term
Skew Lines
Definition
Lines that should intersect, but do not because they lay in different

Lines that arent parallel drawn on two peices of paper that are flat on top of eachother would be skew lines
Term
Transversal
Definition
A line that cuts between two parallel lines

The back line of the letter F is a transversal
Term
Included Angle
Definition
The angle formed where two lines meet

The intersection of line A and line B create an included angle, C
Term
Included Side
Definition
The side between two consecutive angles of a polygon

In a hexagon, if the lines are numbered 1-6 clockwize and the angles A-F clockwize, line 2 between angles A and B would be the included side
Term
Hypotenuse
Definition
The side of a right triangle opposite the right angle

The slanted side of a right triangle
Term
Leg
Definition
The verticle and horozontal lines in a triangle

A and B in the Pythagorean theorem
Term
CPCTC
Definition
Congruent parts of a triangle are congruent

If triangle ABC is congruent to DEF, then angle A and angle D are congruent
Term
SAS
Definition
Side Angle Side

On triangel ABC and DEF, sides A and D, and B and E are congruent, and angles a and b are congruent
Term
SSS
Definition
Side Side Side

In triangle ABC and DEF, all matching sides are congruent
Term
ASA
Definition
Angle Side Angle

In triangle ABC and DEF, angle a and d are congruent, side B and E are congruent, and angle b and e are congruent
Term
AAS
Definition
Angle Angle Side

In triangle ABC and DEF, angles a and d are congruent, angles b and e are congruent, and sides B and E are congruent
Term
Indirect Reasoning
Definition
Reasoning using the Law of the Contrapositive, the Law of Ruling Out Possibilities, or the Law of Indirect Reasoning

On a multiple choice question, i know the answer is not A, B, or C because those are all imposible
Term
Indirect Proof
Definition
A proof where the prove is taken as false and continues to prove it is false, untill the proof arives at a contradiction and the prove is proved true

Prove: 2 does not equal 2

The contradiction would be that a number always equals itself, therefore, one cannot assume that 2 does not equal 2
Term
Overlapping Triangles
Definition
Two triangles that overlap

Triangle ABC and triangle DEC overlapping at point C
Term
Extremes
Definition
In a proportion, the top number of the first fraction and the bottom number of the second fraction

In a/b = c/d, a and d
Term
Means
Definition
In a proportion, the bottom number of the first fraction and the top number of the second fraction

In a/b = c/d, b and c
Term
Proportion
Definition
An equation stating that two ratios are equal

A/B = C/D
Term
Ratio
Definition
A comparison of two quantities

A:B
Term
Scale Factor
Definition
The ratio used when comparing measurements of corresponding things, such as sides or angles

The ratio of the real house to the model house is 10:1
Term
Similar
Definition
Having the same shape

Two equilateral triangles are always similar, regarless of the size
Term
Polygon
Definition
A shape with many sides

A square is a polygon
Term
Concave
Definition
A shape for which there is a line containing a side of the polygon that also contains a point in the interior of the polygon

If you were to extend all the lines in a concave polygon, some would go through the interior of the shape
Term
Convex
Definition
A shape for which there is no line that contains both a side of the polygon and a point in the interior of the polygon

If you can extend all the lines that make up the polygon and none go through the middle, it is a convex polygon
Term
Mid-segment of a Triangle
Definition
A segment with endpoints that are thee midpoints of two sides of a triangle

The sides of equilateral triangle ABC all measure 6 inches. The median would be 3 inches up from the begenning of the side and stretch to the other side of the triangle
Term
Regular
Definition
When all the sides in a figure are congruent and all of the angles are congruent

The Pentagon is a regular pentagon
Term
Similar Polygons
Definition
Two polygons whos angles are congruent and whos sides are proportonate

Equilateral triangles are similar
Term
Angle of Depression
Definition
The angle between the line of sight and the horizontal when an observer looks downward

The top angle in the letter Z is the angle of depression
Term
Angle of Elevation
Definition
The angle between the line of sight and the horizontal when an observer looks upward

The bottom angle in the letter Z is the angle of elevation
Term
Cosine
Definition
For an acute angle of a right triangle, the ratio of the measure of the leg adjacent to the acute angle to the measure of the hypotenuse

Cos62=3/5
Term
Geometric Mean
Definition
For any positive numbers A and B, the positive number X such that A/X=X/B

9/X=X/12
Term
Pythagorean Triples
Definition
A group of three whole numbers that satisfies the equation A^2+B^2=C^2, where C is the greatest number

3, 4, and 5 are a Pythagorean triple
Term
Sine
Definition
For an acute angle of a right triangle, the ratio of the measure of the leg opposite the acute angle to the measure of the hypotenuse

Sin42=12/14
Term
Solving A Triangle
Definition
Finding the measures of all of the angles and sides of a triangle

A= a=
B= b=
C= c=
Term
Tangent
Definition
For an acute angle of a right triangle, the ratio of the measure of the leg opposite the acute angle to the measure of the leg adjacent to the acute angle

Tan12=2/13
Term
Trigonometry
Definition
The study of the properties of triangles and trigonometric functions and their applications
Term
Altitude Of A Right Triangle
Definition
A segment from a vertex of the triangle to the line containing the opposite side and perpendicular to that side

In triangle ABC, the line that begins at point A and is perpendicular to line BC is the altitude
Term
Law of Sines
Definition
Let ABC be any triangle with a, b, and c representing the measures of sides opposite the angles with measures A, B, and C respectivley. Then, sinA/a=sinB/b=sinC/c

sin90/5=sin60/4=sin30/3
Term
Law of Cosines
Definition
Let ABC be any triangle with a, b, and c representing the measures of sidese oppositee the angles with measures A, B, and C respectivley. Then the following equations are true;
a^2 = b^2 + c^2 - 2bc cosA
b^2 = a^2 + c^2 - 2ac cosB
c^2 = a^2 + b^2 - 2ab cosC

5^2=3^2+4^2-2(3)(4)cos90
Term
Unit Circle
Definition
The circle with a radius of one and the center point at the origin, (0,0).
Term
Diagonal
Definition
In a polygon, a segment that connects nonconsecutive vertices of the polygon

In polygon PQRS, line QS is a diagonal
Term
Isosceles Trapezoid
Definition
A trapezoid in which the legs are congruent, both pairs of base angles are congruent, and the diagonals are congruent

If you draw a square, flat surface using depth, it should look like an isoceles trapezoid
Term
Kite
Definition
A quadrilateral with exactly two distinct pairs of adjacent congruent sides

A traditional diamond shape is a kite
Term
Median Of A Trapezoid
Definition
The segment that joins the midpoints of the legs

In trapezoid ABCD, the median runs from the middle of leg BC to the middle of leg DA
Term
Parallelogram
Definition
A quadrilateral with parallel opposite sides. Any side of a parallelogram can be called a base.

In quadrilateral ABCD, lines AB and CD are parallel, and lines AD and BC are parallel
Term
Rectangle
Definition
A quardrillateral with four right angles

A book is often a rectangle
Term
Rhombus
Definition
A quadrilateral with all four sides congruent

A square is a rhombus, but a rhombus may also be more diamond-shaped
Term
Square
Definition
A quadrilateral with four sides and four angles congruent

The bases in baseball are squares
Term
Trapezoid
Definition
A quadrilateral with exactly one pair of parallel sides. The parallel sides of a trapezoid are called bases. The nonparallel sides are called legs. The pairs of angles with their vertices at the endpoints of the same base are called base angles.

Foreheads are shaped like a trapezoid
Term
Consecutive Angles Of A Quadrilateral
Definition
The angles that are following eachother if you look at them clockwize or counterclockwize

In quadrilateral ABCD, A and B are consecutive angles
Term
Decagon
Definition
A ten-sided figure

Some coins are decagons
Term
Dodecagon
Definition
A twelve-sided figure
Term
Exterior Angles Of A Polygon
Definition
An angle formed by one side of a polygon and the extension of another side

They always add up t 360
Term
Hexagon
Definition
A six-sided figure

The cells in a beehive are hexagons
Term
Heptagon
Definition
A seven-sided figure

In photography, the flares are in the shapes of heptagons
Term
Interior Angles Of A Polygon
Definition
The inside angles on a polygon

Any angle that is created by two sides on any polygon
Term
N-Gon
Definition
A polygon with any number of sides

A thirteen-sided figure is an N-Gon
Term
Nonagon
Definition
A nine-sided figure

Tiles can be nonagons
Term
Octagon
Definition
An eight-sided figure

A stop sign is an octagon
Term
Opposite Angles Of A Quadrilateral
Definition
Angles that are opposite eachother

In square ABCD, angles B and D are opposite angles
Term
Pentagon
Definition
A five-sided figure

The Pentagon is a pentagon
Term
Perimeter
Definition
The sum of all the lengths of the sides of any figure

The length of a fence is the perimeter, a fence is a perimeter
Term
Quadrilateral
Definition
A four-sided figure

A square is a quadrilateral
Term
Bases Of A Trapezoid
Definition
The parallel sides of a trapezoid

In trapezoid ABCD, lines AB and CD are the bases
Term
Height Of A Trapezoid
Definition
The measure of a line drawn perpendicular to both bases of a trapezoid

The height of trapezoid ABCD is 13
Term
Undecagon
Definition
An eleven-sided figure

Any eleven-sided figure
Term
Arc
Definition
A part of a circle that is defined by two endpoints

1/4 of the perimeter of a circle is an arc
Term
Center
Definition
The middle

The center of a graph is the origin (0,0)
Term
Central Angle
Definition
An angle that intersects a circle in two points and has its vertex at the center of the circle

The cuts of a piece of pie are central angles
Term
Chord
Definition
For a given circle or sphere, a segment with endpoints on the circle or sphere

If you begin at one point on the outside of the circle and draw a line to another place on the circle, that is a chord
Term
Circle
Definition
The locus of all points in a plane equidistant from a given point called the center of the circle

When drawing a human, you first draw the joints as circles
Term
Circumference
Definition
The distance around a circle

Like the perimeter of a circle
Term
Circumscribed
Definition
A circle is circumscribed about a polygon if the circle contains al the vertices of the polygon

A square with all its angles touching the circle inside the circle
Term
Common External Tangent
Definition
The tangent of two circles

On a conveyer belt, the belt around the wheels is the common external tangent
Term
Common Internal Tangent
Definition
A tangent that is common to two circles and intersects the segment joining the centers of the circles is called Common Internal Tangent

If you draw an imaginary line between the stomach part and the head of a snowman, that is the common internal tangent
Term
Concentric Circles
Definition
Concentric objects share the same center, axis or origin with one inside the other

A bullseye is made of concentric circles
Term
Diameter
Definition
The line that goes through the center of the circle with endpoints on the circle

If you fold a circle in half, the fold line is the diameter
Term
Externally Tangent Circles
Definition
Circles that touch but do not overlap

If you draw a flower out of circles, they should be externally tangent circles
Term
Inscribed Angles
Definition
An angle in a circle with its vertex on the edge of a circle

An inscribed polygon's angles are inscribed angles
Term
Inscribed Figure
Definition
Same as an inscribed polygon, a figure drawn inside a circle with endpoints on the circle

A square inside a circle would be an inscribed figure
Term
Intercepted Arc
Definition
An angle intercepts an arc if and only if each of the following conditions are met;
1. The endpoints of the arc lie on the angle
2. All points of the arc except the endpoints are in the interior of the circle
3. Each side of the angle contains an endpoint of the arc


Just about any angle drawn inside a circle where the ends of the angle are on the outside of the circle
Term
Internally Tangent Circles
Definition
Two circles, one of which is inside the other, that have a single point touching
Term
Major Arc
Definition
An arc with a measure greater than 180 degrees

In a circle, an arc with a measure of 181 degrees
Term
Minor Arc
Definition
An arc with a measure of less than 180 degrees

In a circle, an arc with a measure of 179
Term
Pi
Definition
An irrational number represented by the ratio of the circumference of a circle to the diameter of the circle

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679
8214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196
4428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273
724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609...
Term
Point Of Tangency
Definition
For a line that intersects a circle in only one point, the point at which they intersect

Line AB tangent to line C, they intersect at point D, the point of tangency
Term
Radius
Definition
Half of the diameter of a circle

If the diameter of circle A is 12, the radius is 6
Term
Secant
Definition
Any line that intersects a circle in exactly two points

If the diameter of a circle is extended, it is a secant
Term
Semicircle
Definition
Half of a circle

If you take a circle and cut it in half, the halves are semicircles
Term
Tangent
Definition
A line in the plane of a circle that intersects the circle in exactly one point

If you draw a circle and then draw a line under the circle, the line is the tangent
Term
Apothem
Definition
A segment that is drawn from the center of a regular polygon perpendicular to a side of the polygon

The apothem is similar to the radius of a circle
Term
Geometric Probability
Definition
Using the principles of length and area to find the probability of an event

Finding how often a spinner will land on 1 out of 10 wedges
Term
Irregular Figure
Definition
A figure that is not regular, all sides are not equal

A trapezoid is an irregular figure
Term
Irregular Polygon
Definition
A polygon that is not regular

A trapezoid is an irregular polygon
Term
Sector Of A Circle
Definition
A region of a circle bounded by a central angle and its intercepted arc

If you cut a circle into fourths, one of the fourths would be a sector
Term
Segment Of A Circle
Definition
The region of a circle bounded by an arc and a chord

If you draw a central angle inside a circle, then from each of the points where the angle meets the edge of the circle, you draw a straight line, the area between the edge of the circle and the straight line is the segment
Term
Altitude Of A 3D Figure
Definition
A segment that is perpendicular to the bases or base and vertex

If you draw a straight line in the middle of a cone that ends at the point, that is the altitude
Term
Bases
Definition
The two similar and parallel surfaces on a 3D figure

On a square, all the sides are bases
Term
Cone
Definition
A solid with a circular base, a vertex not contained in the same plane as the base, and a lateral surface area composed of all points in the segments connecting the vertex to the edge of the base

An ice cream cone is a cone
Term
Congruent Solids
Definition
Two solids are congruent if...
1. The corresponding angles are congruent
2. Corresponding edges are congruent
3. Corresponding faces are congruent
4. The volumes are congruent

Two identical dice from a board game are congruent solids
Term
Cube
Definition
A 3D figure made of six squares

A dice is a cube
Term
Cylinder
Definition
A figure with bases that are formed by congruent circles in parallel planes

A can is a cylinder
Term
Edges
Definition
Where the faces of a solid meet

The corner of a desk is an edge
Term
Face
Definition
One of the 2D figures that makes up the 3D object

The base of a pyramid is a face
Term
Great Circle
Definition
For a given sphere, the intersection of the sphere and a plane that contains the center of the sphere

The equator is a great circle
Term
Height
Definition
How tall a figure is

The height of the cone is 12 meters
Term
Hemisphere
Definition
One of the two congruent parts into which a great circle separates a sphere

The Northern Hemisphere is a hemisphere
Term
Lateral Area
Definition
For prisms, pyramids, cylinders, and cones, the area of the figure, not including the bases

The area of the label of a soup can would be the lateral area of the can
Term
Lateral Faces
Definition
In a prism, the faces that are not bases
In a pyramid, the faces that intersect at the vertex
Term
Nets
Definition
A two dimensional figure that when folded form the surfaces of a three-dimensional object

_
|_|_ _ _
|_|_|_|_|
|_| would be the net for a cube
Term
Oblique..
Cone
Cylinder
Prism
Definition
A cone that is not a right cone
A cylinder that is not a right cylinder
A prism in which the lateral edges are not perpendicular to the bases

If you take a slinky and slide the top of it one way and the base another way while keeping all the rings touching, that is an oblique cylinder
Term
Platonic Solids
Definition
The five regular polyhedra: tetrahedron, hexahedron, otcahedron, dodecahedron, or icosahedron
Term
Dodecahedron
Definition
A solid figure with 12 regular pentagon faces


A twelve-sided Platonic solid
Term
Hexahedron
Definition
A polyhedron with six faces

A cube
Term
Icosahedron
Definition
A solid made of twenty equilateral triangles
Term
Octahedron
Definition
A solid made of up eight triangular faces
Term
Tetrahedron
Definition
A solid made up of four triangular faces
Term
Polyhedron
Definition
Closed 3D figures made up for flat polygonal regions. the flat regions formed by the polygons and their interiors are called faces. Pairs f faces intersect in segments called edges. Points where three or more edges intersect are called vertices

A cube
Term
Prism
Definition
A solid with the following characteristics;
1. Two faces, called bases, are formed by congruent polygons that lie in parallel planes
2. The faces that are not bases, caled lateral faces, are formed by parallelograms
3. The intersections of two adjacent lateral faces are called lateral edges and are parallel segments

A Toblerone chocolate bar is a triangular prism
Term
Pyramid
Definition
A solid with the following characteristics;
1. All of the faces, except one face, intersect at a point called the vertex
2. The face that does not contain the vertex is called the base and is a polygonal region
2. The faces meeting at the vertex are called lateral faces and are triangular regions

The Great Pyramid of Giza is a pyramid
Term
Regular
Definition
A 3D figure with bases that are regular polygons
Term
Right..
Cone
Cylinder
Prism
Definition
A cone with an axis that is also an altitude
A cylinder with an axis that is also an altitude
A prism with lateral edges that are also altitudes

Straight 3D figures
Term
Similar Solids
Definition
Solids that have exactly the same shape, but not necessarily the same size

Two cubes are similar solids
Term
Slant Height
Definition
The slant height of a right circular cone is the distance from any point on the circle to the apex of the cone

In a pyramid, the hypotenuse of the right triangle formed by the apothem and the altitude
Term
Sphere
Definition
In space, the set of all points that are a given distance from a given point, called the center

The earth is a sphere
Term
Surface Area
Definition
The sum of all the areas of all faces and side surfaces of a 3D figure
Term
Volume
Definition
A measure of the amount of space enclosed by a 3D figure

How much water or air or anything a 3D figure holds
Term
Vertices Of A 3D Figure
Definition
The top point of a pyramid, where all the faces except the base meet

The top of a pyramid is the vertices
Term
Center Of Dilation
Definition
What the figure is dilated about, usually the origin (0,0)
Term
Center Of Rotation
Definition
A fixed point around which shapes move in a circular motion to a new position

Point (3,3) could be a center of rotation
Term
Column Matrix
Definition
A matrix containing one column often used to represent an ordered pair or a vector

= [x]
[y]
Term
Columns Of A Matrix
Definition
The vertical lines of data in a matrix
Term
Composition
Definition
The application of one function to the results of another
Term
Dilation
Definition
A transformation determined by a center point C and a scale factor K. When K>0, the image P' of P is the point on line CP such that CP' = |K| x CP. When K<0, the image P' of P is the point on the ray opposite line CP such that CP' = k x CP

Making a figure larger or smaller
Term
Identity Matrix
Definition
A scalar matrix in which all of the diagonal elements are unity

[ 1 0 ]
[ 0 1 ]
Term
Image
Definition
A picture
Term
Isometry
Definition
A mapping for which the original figure and its image are congruent
Term
Mapping
Definition
a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
Term
Pre-Image
Definition
Original position of a figure in a plane
Term
Reflection
Definition
A transformation representing a flip of the figure over a point, line, or plane
Term
Reflection matrix
Definition
A matrix that can be multiplied by the vertex matrix of a figure to find the coordinates of the reflected image
Term
Rotation
Definition
A transformation that turns every point of a preimage through a specified angle and direction about a fixed point, called the center of rotation
Term
Rotation Matrix
Definition
A matrix that can be multiplied by the vertex matrix of a figure to find the coordinates of the rotated image
Term
Row Matrix
Definition
The transpose of a row vector is a column vector
Term
Scalar
Definition
A constant multiplied by a vector
Term
Standard Matrix
Definition
When the initial point of a vector is at the origin
Term
Translation
Definition
A transformation that moves all points of a figure the same distance in the same direction
Term
Translation Matrix
Definition
A matrix that can be added to the vertex matrix of a figure to find the coordinates of the translated image
Term
Vertex Matrix
Definition
A matrix that represents a polygon by placing all of the column matrices of the coordinates of the vertices into one matrix
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