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Flashcards in Ch. 8 Deck (82)
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1

Converse of Corresponding Angles Postulate

If 2 lines r intersected by a transversal, & corresponding angles are congruent, then the lines are parallel.

2

Converse of Cointerior Angles Theorem

If 2 lines r cut by a transv & cointerior angles r supp, then the lines r parallel

3

Converse of Alt Interior Angles Theorem

If 2 lines r cut by a transv & alt interior angles r congruent, then the lines r parallel

4

Perpendicular & Parallel Th

If 2 lines r perp 2 the same transversal, then they r parallel.

5

Perp & Transversal Th

If a transv is perp to one of two parallel lines, then it is also perp to the other line.

6

trapezoid

quadrilateral with only 1 pair of parallel sides

7

Triangle Sum Th

the sum of the measures of the angles of a triangle is 180

8

Quadrilateral Sum Th

The sum of the measures of the angles of a quadrilateral is 360.

9

Converse of Quadrilateral Th

If both pairs of opp angles of a quadrilateral r equal, then the quadrilateral is a parallelogram.

10

Exterior Angle Th

An exterior angle of a triangle is equal in measure to the sum of its 2 remote interior angles.

11

definition of similar

2 triangles are similar iff their vertices can be matched up so that the corresponding angles are equal & corresponding sides are in proportion.

12

definition of congruent

2 triangles r congruent iff their vertices can be matched up so that the corresponding parts (angles & sides) of the triangles r equal in measure.

13

Triangle Similarity Postulate (AA Post.)

If 2 angles of a triangle r equal to 2 angles of another triangle, then the 2 triangles are similar.

14

How to find any angle of a triangle?

A = 1/2ab sin C

15

trig

SOH CAH TOA

16

Overlapping Similar Triangles

If a line is drawn from a point on one side of a triangle parallel to another side, then it forms a triangle similar to the original side.

17

ASA Theorem

If 2 angles & the included side of 1 triangle are equal to the corresponding angles and side of another triangle, then the triangles are congruent.

18

AAS Theorem

If 2 angles and a non-included side of 1 triangle r equal to corresponding angles and side of another triangle, then the triangles are equal.

19

ASS

ASS IZ NOT GOOD

20

SAS Postulate

If 2 sides & the included angle of 2 triangle r equal to the corresponding sides & angle of another triangle, then the triangles r congruent.

21

angle bisector

a ray that begins in the vertex of an angle & divides the angle into 2 equal parts

22

segment bisector

a ray, line, or segment that divides a segment into two equal parts

23

perpendicular bisector

a line, ray, / segment that bisects the segment & is perpendicular to it

24

Hypotenuse-Leg Theorem

2 right triangles are equal if the hypotenuse & leg of 1 triangle are equal to the hypotenuse & leg of the other triangle

25

isosceles triangle

a triangle w/ 2 sides = in measure

26

equilateral triangle

a triangle in which all the sides are equal in measure

27

equiangular triangle

a triangle in which all the angles are equal in measure

28

Isosceles Triangle Theorem

If 2 sides of a triangle r = in measure, then the angles opposite those sides are = in measure

29

Converse of Isosceles Triangle Th

If 2 angles of a triangle r equal in measure, then the sides opposite those angles r = in measure

30

Equilateral Triangle Th

If a triangle is equilateral, then it's also equiangular