Term
In the image below, if the horizontal lines are parallel, which angle is congruent with ∠1?
[image] |
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Definition
| Angle 1 has three congruent angles: ∠4, ∠5, and ∠8. |
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Term
In the image below, if the horizontal lines are parallel, which angle is congruent with ∠2?
[image] |
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Definition
| Angle 2 has three congruent angles: ∠3, ∠6, and ∠7. |
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Term
| In Geometry, How Big is a Point? |
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Definition
|
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Term
| In Geometry, What is a Line? |
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Definition
| A straight line that extends in both directions without end. |
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Term
| In Geometry, What is a Plane? |
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Definition
A flat, two-dimensional surface that extends in every direction without end.
It can be thought of as a floor which has no thickness and that extends infinitely far in all directions. |
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Term
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Definition
The part of a line between two points.
It contains those points and all of the points between them. |
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Term
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Definition
| The points at each end of a line segment. |
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Term
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Definition
| Line segments that have equal length. |
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Term
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Definition
| The point that divides a line segment into two congruent line segments. |
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Term
| If You Have a Given Line with Points A, B, C, and D on it, What is AB Used to Denote? |
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Definition
It can denote one of two things:
1) The line segment that consists of points A and B as well as all points between them.
2) The length of the line segment AB.
You can determine the meaning from the context. |
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Term
| Fill in the Blank: When Two Lines Intersect at a Point, They Form Four ________. |
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Definition
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Term
| Fill in the Blank: When Two Lines Intersect at a Point, They Form ______ Angles. |
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Definition
|
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Term
| Fill in the Blank: When Two Lines Intersect at a Point, Each Angle has a ______ at the Point of Intersection. |
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Definition
|
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Term
| Fill in the Blank: When Two Lines Intersect at a Point, Each Angle has a Vertex at the ______. |
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Definition
|
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Term
| Fill in the Blank: When Two Lines Intersect at a Point, Each ______ has a Vertex at the Point of Intersection. |
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Definition
|
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Term
| If Line Segment AB Intersects Line Segment CD at Point P, What are Angles APC and BPD Called? |
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Definition
| Opposite angles, or vertical angles. |
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Term
| If Line Segment AB Intersects Line Segment CD at Point P, What is the Sum of the Measures of All Four Angles Produced? |
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Definition
|
|
Term
| If Line Segment AB Intersects Line Segment CD at Point P, Which Angles are Opposite? |
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Definition
There are two pairs of opposite angles:
APC and BPD.
APD and CPB. |
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Term
| If Line Segment AB Intersects Line Segment CD at Point P, Which Angles are Vertical? |
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Definition
There are two pairs of vertical angles:
APC and BPD.
APD and CPB. |
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Term
| If Line Segment AB Intersects Line Segment CD at Point P, Which Angles are Congruent? |
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Definition
There are two pairs of congruent angles:
APC and BPD.
APD and CPB. |
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Term
|
Definition
When two lines or line segments intersect, the opposite angles are the angles opposite one another.
If line segment AB intersects line segment CD at point P, it will have two pairs of opposite angles:
APC and BPD.
APD and CPB.
Opposite angles are always congruent. |
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Term
|
Definition
When two lines or line segments intersect, the vertical angles are the angles opposite one another.
If line segment AB intersects line segment CD at point P, it will have two pairs of vertical angles:
APC and BPD.
APD and CPB.
Vertical angles are always congruent. |
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Term
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Definition
| Angles that have equal measures. |
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Term
| Fill in the Blank: Opposite Angles Have ______ Measures. |
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Definition
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Term
| In Geometry, What Does the ∠ Symbol Mean? |
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Definition
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Term
|
Definition
| Lines that intersect to form four congruent angles of 90ᵒ each. |
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Term
| In Geometry, What Does the ⊥ Symbol Mean? |
|
Definition
Perpendicular.
Two lines that are perpendicular are denoted by a⊥b. |
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Term
|
Definition
| An angle with a measure of 90ᵒ. |
|
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Term
| What Does it Mean When a Small Square is Drawn at the Vertex of an Angle? |
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Definition
| It is a right angle (its measure is 90ᵒ). |
|
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Term
| Fill in the Blank: You Can Denote a Right Angle by Drawing a Small ______ at the Vertex of the Angle. |
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Definition
|
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Term
|
Definition
| An angle with a measure less than 90ᵒ. |
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Term
|
Definition
| An angle with a measure between 90ᵒ and 180ᵒ. |
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Term
|
Definition
| Two lines on the same plane that do not intersect. |
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Term
| If Two Parallel Lines are Intersected by a Third Line, What Do You Know About the Angles? |
|
Definition
Four of the angles will be congruent to one another, the other four will be congruent to each other.
That is to say, there will be two measures, each of which is shared by two angles.
The only exception is if the intersecting line is perpendicular to the parallel ones, in which case all 8 angles will be 90ᵒ. |
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Term
|
Definition
A closed figure formed by three or more line segments which join the others at their endpoints.
Each of the line segments is called a side. |
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|
Term
| In Geometry, What is a Side? |
|
Definition
| Each of the line segments that make up a polygon is called a side. |
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Term
|
Definition
| The endpoints where each line segment joins with the endpoints of another in a polygon. |
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Term
|
Definition
| A polygon in which the measure of each interior angle is less than 180ᵒ. |
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Term
|
Definition
| A polygon with three sides. |
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Term
|
Definition
| A polygon with four sides. |
|
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Term
|
Definition
| A polygon with five sides. |
|
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Term
| Fill in the Blank: A Quadrilateral Can Be Divided into ______ Triangles. |
|
Definition
|
|
Term
| Fill in the Blank: A Pentagon Can Be Divided into ______ Triangles. |
|
Definition
|
|
Term
| How Many Triangles can a Polygon be Divided Into? |
|
Definition
| It can be divided into n-2 triangles, where n is the number of sides the polygon has. |
|
|
Term
| What is the Sum of the Measures of the Interior Angles of a Polygon? |
|
Definition
| (n-2)(180ᵒ), where n is the number of sides the polygon has. |
|
|
Term
| What is the Sum of the Measures of the Interior Angles of a Quadrilateral? |
|
Definition
| (n-2)(180ᵒ) = (4-2)(180ᵒ) = (2)(180ᵒ) = 360ᵒ |
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|
Term
|
Definition
| A polygon with six sides. |
|
|
Term
|
Definition
| A polygon with eight sides. |
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|
Term
|
Definition
| A polygon in which all sides are congruent and all interior angles are congruent. |
|
|
Term
| What is Another Name for a Regular Quadrilateral? |
|
Definition
|
|
Term
| How Do You Calculate an Interior Angle for a Regular Polygon? |
|
Definition
Divide the sum of the measures of the interior angles by the numer of sides the polygon has.
[(n-2)(180ᵒ)]/n |
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|
Term
| What is the Measure of Each Angle in a Regular Hexagon? |
|
Definition
[({6}-2)(180ᵒ)]/(6)
[(4)(180ᵒ)]/6
720ᵒ/6
120ᵒ
Each angle will be 120ᵒ. |
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Term
|
Definition
| The sum of the lengths of all of its sides. |
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Term
|
Definition
| The area of the region enclosed by a polygon. |
|
|
Term
| What is Special About the Lengths Each Side of a Triangle? |
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Definition
| The length of each side must be less than the sum of the other two sides. |
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Term
| If a Triangle has One Side with a Length of 3 and Another with a Length of 14, What are the Minimum and Maximum Values for the Remaining Side? |
|
Definition
x < 3+14
x < 17
AND: x > 14-3
x > 11
The remaining side must be between 11 and 17. This can be denoted as 11 < x < 17. |
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Term
|
Definition
A triangle with three congruent sides.
The measure of each angle is 60ᵒ.
All equilateral triangles are also isosceles triangles. |
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|
Term
| What is Another Name for a Regular Triangle? |
|
Definition
|
|
Term
|
Definition
A triangle with at least two congruent sides.
The angles opposite the congruent sides (the angles which are NOT at the intersection of the two sides) will also be congruent. |
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Term
| In Triangle ABC, if AB and BC are Congruent, Which Angles are Congruent? |
|
Definition
|
|
Term
| In Triangle ABC, if ∠A and ∠C are Congruent, Which Sides are Congruent? |
|
Definition
|
|
Term
|
Definition
| A triangle with an interior right angle (an interior angle equal to 90ᵒ). |
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Term
|
Definition
| The side opposite the right angle in a right triangle. |
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Term
|
Definition
The sides of a right triangle other than the hypotenuse.
If triangle ABC has a 90ᵒ angle at B, the hypotenuse will be AC, and the legs will be AB and BC. |
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Term
|
Definition
In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
a²+b² = c²
If triangle ABC has a 90ᵒ angle at B, this would be denoted by: (AB)²+(BC)² = (AC)² |
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|
Term
| In a Right Triangle, if the Length of One Leg is 6 and the Length of the Other Leg is 8, What is the Hypotenuse? |
|
Definition
(6)²+(8)² = c²
36+64 = c²
100 = c²
c = √100 = 10
The hypotenuse is 10. |
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Term
| In a Right Triangle, if the Length of One Leg is 4 and the Length of the Hypotenuse is 7, What is the Length of the Remaining Leg? |
|
Definition
(4)²+b² = (7)²
16+b² = 49
b² = 49-16 = 33
b = √33
The remaining leg is √33, or approximately 5.74. |
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|
Term
| What is the Equation Used to Determine the Length of the Sides for an Isosceles Right Triangle? |
|
Definition
|
|
Term
| What is the Ratio for the Lengths of the Sides for an Isosceles Right Triangle? |
|
Definition
|
|
Term
| What are the Values of the Angles for an Isosceles Right Triangle? |
|
Definition
| One angle is 90ᵒ and the other two are each 45ᵒ. |
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Term
|
Definition
A right triangle where the value for one of the remaining angles is 30ᵒ and the value for the third angle is 60ᵒ.
It is half of an equilateral triangle. |
|
|
Term
| A ______ is Half of an Equilateral Triangle. |
|
Definition
|
|
Term
| What is the Ratio for the Lengths of the Sides for a 30ᵒ-60ᵒ-90ᵒ Triangle? |
|
Definition
|
|
Term
| What is the Equation Used to Determine the Length of the Sides for a 30ᵒ-60ᵒ-90ᵒ Triangle? |
|
Definition
y = (√3)x
Where y is the side opposite the 60ᵒ angle, x is the side opposite the 30ᵒ angle.
The hypotenuse is 2x.
The side x will be shorter than the side y. |
|
|
Term
| How Do You Calculate the Area of a Triangle? |
|
Definition
Multiply the base by the height and divide by 2.
A = bh/2 |
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|
Term
| Which Side of a Triangle is the Base? |
|
Definition
| Any side can be the base. The height is the perpendicular line segment from the base to the opposite vertex. |
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|
Term
| Which Side of a Triangle is the Height? |
|
Definition
| The perpendicular line segment from the base to the opposite vertex. |
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Term
|
Definition
Two triangles that have the same shape and size.
Two triangles are congruent if their vertices can be matched up so that the corresponding angles and the corresponding sides are congruent.
All congruent triangles are also similar. |
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|
Term
| How Do You Determine if Two Triangles are Congruent? |
|
Definition
There are three ways:
1) If all three sides of one triangle are congruent to all three sides of another triangle, they are congruent.
2) If two sides and one angle of one triangle are congruent to two sides and one angle of the other triangle, they are congruent.
3) If two angles and one side of one triangle are congruent to two angles and one side of the other triangle, they are congruent. |
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Term
| If All Three Angles of a Triangle are Congruent, Does That Mean the Triangles are Congruent? |
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Definition
| No. They are only similar. |
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|
Term
| If All Three Sides of a Triangle are Congruent, Does That Mean the Triangles are Congruent? |
|
Definition
|
|
Term
| If Two Sides and One Angle of a Triangle are Congruent to Two Sides and One Angle of Another Triangle, What Do You Know? |
|
Definition
| The triangles are congruent. |
|
|
Term
| If Two Angles and One Side of a Triangle are Congruent to Two Angles and One Side of Another Triangle, What Do You Know? |
|
Definition
| The triangles are congruent. |
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Term
|
Definition
Two triangles that have the same shape but not necessarily the same size.
When talking about simlilar triangles ABC and DEF, the order of the letters indicates their correspondences.
The ratio of their sides will also be equal to one another. |
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|
Term
| If Triangles ABC and DEF are Similar, Which Angles are Congruent? |
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Definition
| ∠A is congruent to ∠D, ∠B is congruent to ∠E, and ∠C is congruent to ∠F. |
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|
Term
| If Triangles ABC and DEF are Similar, What Do You Know About the Ratios of Their Sides? |
|
Definition
AB/DE = BC/EF = AC/DF
You can also use cross-multiplication to get:
AB/BC = DE/EF
AB/DE = AC/DF
AC/BC = DF/EF |
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|
Term
| If You Have Two Triangles, ABC and DEF, and You Know that AB/DE = BC/EF = AC/DF, What Can You Conclude? |
|
Definition
| They are similar triangles. |
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|
Term
|
Definition
| A quadrilateral with four right angles. |
|
|
Term
|
Definition
A rectangle with four congruent sides.
A regular quadrilateral. |
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|
Term
|
Definition
A quadrilateral in which both pairs of opposite sides are parallel.
Both pairs of opposite sides and opposite angles are congruent. |
|
|
Term
| Fill in the Blank: In a Parallelogram Both Pairs of ______ are Congruent. |
|
Definition
| Opposite sides AND opposite angles. |
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|
Term
|
Definition
| A quadrilateral in which two opposite sides are parallel. |
|
|
Term
| How Do You Calculate the Area of a Parallelogram? |
|
Definition
| A = bh, where b is the base and h is the height. |
|
|
Term
| When Calculating the Area of a Parallelogram, Which Side is the Base? |
|
Definition
| Any side may be the base. |
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|
Term
| When Calculating the Area of a Parallelogram, What is the Height? |
|
Definition
| The height is the perpendicular line segment from any point on the base to the opposite side (or an extension of that side). |
|
|
Term
| How Do You Calculate the Area of a Trapezoid? |
|
Definition
A = (1/2)(b₁+b₂)(h), where b₁ is the length of one parallel side, b₂ is the length of the other parallel side, and h is the corresponding height (the perpendicular line segment between the parallel sides).
In English: The area equals half of the product the height and the sum of the lengths of the two parallel sides. |
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Term
|
Definition
| The sum of all of the sides of a polygon. |
|
|
Term
|
Definition
| The set of points on a plane that are a distance of r units from O, where r is a positive number and O is a point on the plane. |
|
|
Term
|
Definition
| The point O on a plane (where the circle is defined as the set of points on a plane that are a distance of r units from O, and r is a positive number). |
|
|
Term
|
Definition
The distance from the center of a circle to its edge.
Any line segment joining a point on the circle and the center of that circle. |
|
|
Term
|
Definition
| The plural form of radius. |
|
|
Term
|
Definition
Twice the radius.
Any chord which passes through the center of that circle. |
|
|
Term
|
Definition
| Any line segment joining two points on a circle. |
|
|
Term
|
Definition
| The distance around a circle, analogous to the perimeter of a polygon. |
|
|
Term
| What is the Ratio for Pi? |
|
Definition
| C/d, where C is the circumference of any circle and d is the diameter of the |
|
|
Term
| What is the Approximate Value of Pi (Don't Use a Calculator for This)? |
|
Definition
|
|
Term
| What is the Symbol π Used to Denote? |
|
Definition
| Pi, which has an approximate value of 3.14, and is the ratio of C/d. |
|
|
Term
| How Do You Calculate the Circumference of a Circle? |
|
Definition
| C = 2πr, where r is the radius. |
|
|
Term
| If a Circle has a Diameter of 12, What is the Circumference? |
|
Definition
The radius if half of the diameter, so:
C = 2π(1/2)(12) = 37.6991
Which can be rounded to 37.7. |
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|
Term
|
Definition
The part of the circle containing two points and all the points between them.
Two points on a circle are always the endpoints of TWO arcs. |
|
|
Term
| How Many Points are Used to Identify an Arc? |
|
Definition
| Arcs are identified by three points. This is to avoid ambiguity, as two points would refer to two arcs instead of one. |
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|
Term
|
Definition
| An angle with its vertex at the center of the circle. |
|
|
Term
|
Definition
| The measure of its central angle, which is formed by two radii that connect the center of the circle to the endpoints of the arc. |
|
|
Term
| Fill in the Blank: An Entire Circle is Considered to be an ______ with Measure 360ᵒ. |
|
Definition
|
|
Term
| If You Know the Measure of an Arc Formed by Two Points, What Do You Know About the Other Arc Formed by Those Same Two Points? |
|
Definition
| It will be equivalent to 360ᵒ-a, where a is the measure of the first (known) arc. |
|
|
Term
|
Definition
| The distance around the circumference of the circle from one endpoint of the arc to the other. |
|
|
Term
| What is the Ratio for the Circumference of an Arc? |
|
Definition
The ratio of the length of an arc to the circumference is equal to the ratio of the degree measure of the arc to 360ᵒ.
a/C = ∠b/360
Where a is the length of the arc, C is the circumference of the circle, and ∠b is the measure of the arc. |
|
|
Term
| How Do You Calculate the Length of an Arc? |
|
Definition
a = C(∠b/360)
Where a is the length of the arc, C is the circumference of the circle, and ∠b is the measure of the arc. |
|
|
Term
| If the Radius of a Circle is 6 and the Measure of an Arc is 45ᵒ, What is the Length of the Arc? |
|
Definition
a = C(45/360)
We know that C = 2π(6) = 12π, so:
a = 12π(45/360) = 12π(0.125) = 1.5π
The length is 1.5π or approximately 4.71. |
|
|
Term
|
Definition
| The area of the region enclosed by a circle. |
|
|
Term
| How Do You Calculate the Area of a Circle? |
|
Definition
| A = πr², where r is the radius. |
|
|
Term
| If a Circle has a Diameter of 12, What is the Area? |
|
Definition
The radius if half of the diameter, so:
C = π[(1/2)(12)]² = π(6)² = 36π
The area is 36π, which can be rounded to 113.10. |
|
|
Term
|
Definition
The region of a circle bounded by an arc of the circle and two radii.
It looks like a triangle with a one rounded side (the arc). |
|
|
Term
| What is the Ratio of the Area of a Sector of a Circle? |
|
Definition
The ratio of the area of a sector to the area of the circle is equal to the ratio of the degree measure of the arc to 360ᵒ.
S/A = ∠b/360
Where S is the area of the sector, A is the area of the circle, and ∠b is the measure of the arc. |
|
|
Term
| How Do You Calculate the Area of a Sector of a Circle? |
|
Definition
S = A(∠b/360)
Where S is the area of the sector, A is the area of the circle, and ∠b is the measure of the arc. |
|
|
Term
| If the Radius of a Circle is 6 and the Measure of an Arc is 45ᵒ, What is the Area of the Sector? |
|
Definition
S = A(45/360)
We know that A = π(6)² = 36π, so:
a = 36π(45/360) = 36π(0.125) = 4.5π
The area of the sector is 4.5π or approximately 14.14. |
|
|
Term
|
Definition
| A line that intersects the circle at exactly one point. |
|
|
Term
|
Definition
| The point where a tangent intersects a circle. |
|
|
Term
| Fill in the Blank: If a Line is Tangent to a Circle, then a ______ Drawn to the Point of Tangency is Perpendicular to the Tangent Line. |
|
Definition
|
|
Term
| Fill in the Blank: If a Line is Tangent to a Circle, then a Radius Drawn to the ______ is Perpendicular to the Tangent Line. |
|
Definition
|
|
Term
| Fill in the Blank: If a Line is Tangent to a Circle, then a Radius Drawn to the Point of Tangency is ______ to the Tangent Line. |
|
Definition
|
|
Term
| Fill in the Blank: When All of the Vertices of a Polygon Lie on a Circle, the Polygon is ______ that Circle. |
|
Definition
|
|
Term
| What Does it Mean to Say a Polygon is Inscribed in a Circle? |
|
Definition
| All of the vertices of the polygon lie on the circle. |
|
|
Term
| Fill in the Blank: When All of the Vertices of a Polygon Lie on a Circle, the Circle is ______ that Polygon. |
|
Definition
|
|
Term
| What Does it Mean to Say a Circle is Circumscribed About a Polygon? |
|
Definition
| All of the vertices of the polygon lie on the circle. |
|
|
Term
| What Do You Know About an Inscribed Triangle if One Side of that Triangle is the Diameter of the Circle? |
|
Definition
| The triangle is a right triangle. |
|
|
Term
| What Do You Know About the Sides of an Inscribed Right Triangle Inside a Circle? |
|
Definition
| One of the sides of the triangle is the radius of the circle. |
|
|
Term
| Fill in the Blank: When All of the Sides of a Polygon Lie Are Tangent to a Circle, the Polygon is ______ that Circle. |
|
Definition
|
|
Term
| What Does it Mean to Say a Circle is Inscribed in a Polygon? |
|
Definition
| All of the sides of the polygon are tangent to the circle. |
|
|
Term
| Fill in the Blank: When All of the Sides of a Polygon Lie Are Tangent to a Circle, the Circle is ______ that Polygon. |
|
Definition
|
|
Term
| What Does it Mean to Say a Polygon is Circumscribed About a Circle? |
|
Definition
| All of the sides of the polygon are tangent to the circle. |
|
|
Term
|
Definition
| Two or more circles with the same center. |
|
|
Term
| Fill in the Blank: Two or More Circles with the Same Center are ______. |
|
Definition
|
|
Term
| What are the Basic Three-Dimensional Figures? |
|
Definition
| Rectangular solids, cubes, cylinders, spheres, pyramids, and cones. |
|
|
Term
|
Definition
| A three-dimensional figure with six rectangular surfaces called faces. |
|
|
Term
| How Many Faces Does a Rectangular Solid Have? |
|
Definition
|
|
Term
| In a Rectangular Solid, Which Faces are Perpendicular to Each Other? |
|
Definition
|
|
Term
| Fill in the Blank: In a Rectangular Solid, Adjacent Faces are ______ to Each Other. |
|
Definition
|
|
Term
| What is an Edge of a Rectangular Solid? |
|
Definition
| A line segment that is the intersection of two of its faces. |
|
|
Term
| Fill in the Blank: Each Line Segment that is the Intersection of Two Faces of a Rectangular Solid is Called an ______. |
|
Definition
|
|
Term
| What is a Vertex of a Rectangular Solid? |
|
Definition
| A point where the edges intersect. |
|
|
Term
| Fill in the Blank: Each Point at Which the Edges of a Rectangular Solid Intersect is Called a ______. |
|
Definition
|
|
Term
|
Definition
A rectangular solid with six square faces.
The length, width, and height are the same (l = w = h). |
|
|
Term
| How Many Edges Does a Rectangular Solid Have? |
|
Definition
|
|
Term
| How Many Vertices Does a Rectangular Solid Have? |
|
Definition
|
|
Term
| What Are the Dimensions of a Rectangular Solid? |
|
Definition
| Length (l), width (w), and height (h). |
|
|
Term
| What is the Volume of a Rectangular Solid? |
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Definition
| The product of its three dimensions. |
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Term
| How Do You Calculate the Volume of a Rectangular Solid? |
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Definition
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Term
| What is the Surface Area of a Rectangular Solid? |
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Definition
| The sum of the areas of the six faces. |
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Term
| How Do You Calculate the Surface Area of a Rectangular Solid? |
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Definition
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Term
| If a Rectangular Solid has a Length of 10, a Width of 4, and a Height of 6, What is its Volume? |
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Definition
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Term
| If a Rectangular Solid has a Length of 10, a Width of 4, and a Height of 6, What is its Surface Area? |
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Definition
A = 2[(10)(4)+(10)(6)+(4)(6)]
A = 2(40+60+24)
A = 2(124)
A = 248 |
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Term
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Definition
| Two circular bases joined by a surface made of all line segments that join points on the two circles and are parallel to the line segment that joins the centers of the circles. |
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Term
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Definition
| The line segment joining the centers of the two circular bases of a cylinder. |
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Term
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Definition
| A circular cylinder whose axis is perpendicular to its bases. |
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Term
| What is the Height of a Right Circular Cylinder? |
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Definition
| The length of the line segment that connects the centers of the two circles that are its bases. |
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Term
| How Do You Calculate the Volume of a Right Circular Cylinder? |
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Definition
V = πr²h
Where r is the radius of the bases and h is the height of the cylinder. |
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Term
| What is the Surface Area of a Circular Cylinder? |
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Definition
| The sum of the areas of the two bases and the lateral area. |
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Term
| How Do You Calculate the Surface Area of a Right Circular Cylinder? |
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Definition
A = 2(πr²) + 2πrh
Where r is the radius of the bases and h is the height of the cylinder. |
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Term
| If a Right Circular Triangle Has a Height of 8 and a Radius of 3, What is its Volume? |
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Definition
V = π(3)²(8)
V = π(9)(8)
V = 72π
Which is approximately 226.19. |
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Term
| If a Right Circular Triangle Has a Height of 8 and a Radius of 3, What is its Surface Area? |
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Definition
A = 2[π(3)²] + 2π(3)(8)
A = 2[π(9)] + 2π(24)
A = π(18) + π(48)
A = 18π + 48π
A = 66π
Which is approximately 207.35. |
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