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Geometric Theorems
Theorems
50
Mathematics
Not Applicable
04/20/2005

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Cards

Term
Segment
Definition
Part of a line that begins at one point and ends at another
Term
Ray
Definition
Part of a line that starts at a point and extends forever in one direction
Term
Angle
Definition
Figure formed by 2 rays with a common endpoint
Term
Point
Definition
The intersetion of two lines
Term
Line
Definition
The intersection of two planes
Term
Distance on a number line
Definition
|a-b|
Term
Segment addition postulate
Definition
AB+BC=AC
Term
Complementary angles
Definition
2 angles whose sum is 90
Term
Complementary angles
Definition
2 angles whose sum is 90
Term
Supplementary angles
Definition
2 angles whose sum is 180 degrees
Term
Linear pairs are...
Definition
Supplementary
Term
Right angle
Definition
Angle whose measure is 90 degrees
Term
Acute angle
Definition
Angle whose measure is less than 90 degrees
Term
Perpendicular
Definition
2 coplanar lines that intersect to form right angles
Term
Parallel
Definition
2 coplanar lines that do not intersect
Term
Adjacent
Definition
2 angles who share a common side
Term
Symmetric property
Definition
If a=b then b=a
Term
Reflexive property
Definition
AB=AB
Term
Transitive
Definition
If a=b and b=c then a=c
Term
Vertical angles are...
Definition
Congruent
Term
If two coplanar lines are parallel to the same line, then...
Definition
They are parallel to each other
Term
If two coplanar lines are perpendicular to the same line, then...
Definition
They are parallel to each other
Term
Sum of the measures of a triangle
Definition
180 degrees
Term
Sum of the measures of a quadrilateral
Definition
360 degrees
Term
The measures of an exterior angle of a triangle is equal to...
Definition
the sum of the measures of the remote interior angles
Term
The sum of interior angles of a polygon is...
Definition
(n-2)180
Term
The length of the midsegment of a triangle is...
Definition
One half the base
Term
Midsegment
Definition
A segment parallel to the base of a triangles joining the midpoints of the two nonparallel sides.
Term
The length of the median of a trapezoid is
Definition
One half the sum of the bases
Term
Two coplanar lines are parallel if...
Definition
they have the same slope.
Term
Two coplanar lines are perpendicular if...
Definition
Their slopes are opposite reciprocals of each other(or product of slopes is -1)
Term
If two sides and their included angle of one triangle are congruent to two sides and the included angle of another triangle, then...
Definition
The two triangles are congruent by SAS
Term
Slope
Definition
Vertical change divided by horizonal change
Term
If 2 sides of a triangle are congruent then...
Definition
Opposite angles are congruent(by Isosceles triangle theorem
Term
If 2 angles of a triangle are congruent, then...
Definition
th triangle is isosceles(by converse of isosceles triangle theorem)
Term
Area
Definition
The number of square units it takes to cover a region
Term
Volume
Definition
The number of cubes it takes to fill an object
Term
Perimeter
Definition
The distance around an object
Term
Circumference
Definition
The distance around a circle
Term
Circle
Definition
The set points equidistant from a given point is called the center
Term
Area of a circle
Definition
Pi times radius squared
Term
Area of a trapezoid
Definition
One half times height times the sumb of the bases or length of midsegment times hight
Term
Area of regular polygon
Definition
One half the apothem times the perimeter
Term
Pythagorean theorem
Definition
The sum of the square of the legs is equal to the square of the hypotenuse
Term
In a 45-45-90 triangle, the hypotenuse is...
Definition
Square root of 2 times longer than either leg
Term
In a 45-45-90 triangle, either leg is...
Definition
Square root of 2 times shorter than the hypotenuse
Term
In a 30-60-90 trianle, the hypotenuse is...
Definition
twices as long as the shorter leg
Term
In a 30-60-90 triangle, the long leg is...
Definition
Square root of 3 times longer than the short leg
Term
In a 30-60-90 triangle, the short legt is...
Definition
Square root of 3 times shorter than the long leg and half the leght of the hypotenuse
Term
Slope of line in standard form
Definition
-A/B
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