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Home > CCG > Chapter 8 > Lesson 8.1.2 > Problem 8-22

8-22.

Suzette started to set up a proof to show that if , and , then . Examine her work below. Then complete her missing statements and reasons. Homework Help ✎

Statements

Reasons

  1. , and

  1. and

  1. Reflexive Property

  1. Additive Property of Equality (adding the same amount to both sides of an equation keeps the equation true)

  1. Segment addition

Statements

Reasons

  1. , and 

  1. Given

  1.  and 

  1. If two lines cut by a transversal are parallel, then alternate interior angles are equal.

  1. Reflexive Property

  1. Additive Property of Equality (adding the same amount to both sides of an equation keeps the equation true)

  1. Segment addition

  1. ASA   

  1.  

  1.  parts