2.3 Angle Proofs

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

•  $<1\cong<3$  

Tags

CCSS.HSG.CO.C.9

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

Tags

CCSS.HSG.CO.A.1

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

Tags

CCSS.HSG.CO.C.9

What is the reasoning?

• Symmetric Property

• Angle addition postulate

• Reflexive Property

• Transitive Property

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

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• 
• 
• 

Tags

CCSS.HSG.CO.C.9

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.B.5

What is the justification?

• Vertical Angles Theorem

• Transitive Property of Equality

• Compliment Theorem

• Reflexive Property of Congruence

Tags

CCSS.HSG.CO.C.9

Give the reason for statement #3

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

Tags

CCSS.HSG.CO.C.9

Give the reason for statement #6

• Definition of supplementary angles

• Substitution Property of Equality

• Vertical angles theorem

• Congruent supplements theorem

Match the correct words into the blanks for statement 5 and statement 7.

• Substitution; Reflexive Property

• Definition of Supplementary Angles; Definition of Congruence

• Transitive Property; Definition of Congruence

• Definition of Complementary Angles; Reflexive Property

Tags

CCSS.HSG.CO.C.9

CCSS.HSG.SRT.C.7