2-4 Angle Proofs Pt. 3

2-4 Angle Proofs

Part 3

Multiple Choice

Vertical angles are always

• acute

• total 180 degrees

• congruent (equal measures)

• adjacent angles

Multiple Choice

angles that sum together to equal 90 degrees

• def of congruence

• def of supplementary angles

• def of complementary angles

Multiple Choice

A geometric figure that divides an angle into two congruent halves

• def of midpoint

• def of segment bisector

• def of angle bisector

Multiple Choice

Angles that sum together to equal 180 degrees

• supplementary angles

• complementary angles

• congruent angles

Multiple Choice

if a=b, then b can be substituted for a in any equation or expression.

• substitution POE

• transitive POE

• reflexive POE

• symmetric POE

Multiple Choice

For any real number a, a=a

• reflexive POE

• transitive POE

• def. of midpoint

• def. of angle bisector

Multiple Choice

If a=b and b=c, then a=c

• segment addition postulate

• transitive POE

• reflexive POE

• def. of complementary angles

Multiple Choice

• Angle Addition Postulate

• Def. of Complementary Angles

• Def of Angle Congruence

• Def. of Segment Bisector

Multiple Choice

• Def. of Segment Congruence

• Angle Addition Postulate

• Def, of Angle Bisector

• Def. of Midpoint

Multiple Choice

The vertical angles theorem states that if two angles are vertical then they are _.

• Complementary

• Equal

• Congruent

• Supplementary

Multiple Choice

What theorem justifies this statement:
"If

 $\angle A\ and\ \angle B$  form a right angle, then  $\angle A\ and\ \angle B$  are complementary."

• Def. of complementary angles

• Def of right angles

• Complements theorem

Multiple Select

Select all theorems that justify this statement:
"If

 $\angle A\ and\ \angle B$  form a linear pair, then  $\angle A\ and\ \angle B$  are supplementary."

• Def. of Supplementary

• Supplements Theorem

• Linear Pairs Theorem

Multiple Choice

Given the following statement, what could you assume next?

If $\angle D$  is complementary to  $\angle E$ , and  $\angle F$  is complementary to  $\angle E$ , then...

• Transitive Property

•  $\angle D\ \cong\ \angle F$  

•  $\angle D\ and\ \angle F\ are\ complementary$  

Practice

Complete the practice on the next page of your packet. The answer key will be on the next slide to check your work. Do not go to the next slide until you complete it on your own.