Proving and Using Geometric Properties

Give the appropriate theorem or postulate that can be used to prove the triangles similar:

*There are 2 choices here. You must choose BOTH!*

• AA Postulate

• ASA Postulate

• SSS Postulate

• SAS Postulate

What is the measure of x?

• 12

• 15

• 6

• 9

A line, segment, or ray that divides an angle into two ≅ angles (two angles with equal measure).

Find the value of a, b, and c.

• a = 20, b = 25, and c = 15

• a = 15, b = 25, and c = 20

• a = 15, b = 16, and c = 20

• a = 16, b = 20, and c = 25

• a = 25, b = 15, and c = 20

Given: PL is the angle bisector of <RPQ

What can you conclude by definition of angle bisector?

• m<RPL = m<LPQ

• <RPL + m<LPQ = m<RPQ

• <RPQ is acute

• m<RPQ = 90

Which is a possible measure for ∠JKM?

• 20°

• 25°

• 30°

• Cannot be determined

What angle(s) are congruent to angle 3?

• 1

• 2

• 3

• 7

Find the missing length.

• 36

• 64

• 10

• 100

Solve for x

Mathematical Equivalence

ON

Solve for x.

• 3

• 6

• 8

• 9