2.5 Angle Proofs Exit Ticket

Given: <1 and <3 are vertical angles. What should you conclude by the vertical angles theorem?

• <1 and <2 are a linear pair

• <1 and <3 are right angles

• <2 and <4 are vertical angles

•  $<1\cong<3$  

If ∠A and ∠B are complementary,
then m∠A + m∠B = 90°.

• Definition of Supplementary Angles
• Angle Addition Postulate
• Definition of Right Angle
• Definition of Complementary Angles

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

What is the reasoning?

• Symmetric Property

• Angle addition postulate

• Reflexive Property

• Transitive Property

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What is the justification?

• Vertical Angles Theorem

• Transitive Property of Equality

• Compliment Theorem

• Reflexive Property of Congruence

Give the reason for statement #3

• Definition of supplementary angles
• Definition of congruence
• Vertical angles theorem
• Congruent supplements theorem