8.1-8.3 Flashcards Preview

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Flashcards in 8.1-8.3 Deck (16)
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1

Converse of Corresponding Angles Postulate

If 2 lines are intersected by a transversal, and corresponding angles are congruent, then the lines are parallel

2

converse of cointerior angle theorem

If 2 lines are cut by a transversal & cointerior angles are supplementary, then the lines are parallel.

3

converse of alt interior angle th

If 2 lines are cut by a transversal & alternate interior angles are congruent, then the lines are parallel

4

Perpendicular & Parallel Th

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

5

Perp & Transversal Th

If a transversal is perpendicular to one of two parallel lines, then its 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

quadrilateral is parallelogram? th

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

10

exterior angle theorem

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

11

definition of similar

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

12

definition of congruent

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

13

Triangle Similarity Postulate (AA Post)

If 2 angles of a triangles are 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 orinial triangle.