8.1-8.3 Flashcards Preview

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Flashcards in 8.1-8.3 Deck (16)
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1
Q

Converse of Corresponding Angles Postulate

A

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

2
Q

converse of cointerior angle theorem

A

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

3
Q

converse of alt interior angle th

A

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

4
Q

Perpendicular & Parallel Th

A

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

5
Q

Perp & Transversal Th

A

If a transversal is perpendicular to one of two parallel lines, then its also perp to the other line.

6
Q

trapezoid

A

quadrilateral with only 1 pair of parallel sides

7
Q

Triangle Sum Th

A

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

8
Q

Quadrilateral Sum Th

A

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

9
Q

quadrilateral is parallelogram? th

A

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

10
Q

exterior angle theorem

A

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

11
Q

definition of similar

A

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

12
Q

definition of congruent

A

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
Q

Triangle Similarity Postulate (AA Post)

A

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

14
Q

how to find any angle of a triangle?

A

A = 1/2ab sin C

15
Q

trig

A

SOH CAH TOA

16
Q

Overlapping Similar Triangles

A

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.