Justification of Proof and Angle Measure

Vertical angles are always

• acute

• total 180 degrees

• congruent (equal measures)

• adjacent angles

Solve for x.

• 16

• 11

• 50

• 6

• Definition of Congruence

• Congruent Complements Theorem

• Congruent Supplements Theorem

• Supplement Theorem

Which Reason best fits the statement?

• Vertical Angle Theorem

• Definition of Linear Pair

• Addition Property

• Transitive Property

Complete the Proof with the given labels. The givens have been labeled for you.

a

b

c

d

e

f

g

Substitution

Given (3)

Def of Congruent Angles

Subtraction

Def of Complementary Angles

Reflexive

Given (1)

What is the correct reason for ? What is the correct reason for ? What is the correct reason for ? What is the reason for ?

• Definition of a Straight Angle

• Prove

• Definition of Supplementary

• Substitution

• Subtraction Property of equality

• Definition of Congruence

• Addition Property of Equality

Which is the correct reason for statements 2 and 4 in the proof?

• Corresponding Angles

• Substitution

• Definition of Congruent Angles

• Vertical Angles are congruent.