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Home > GC > Chapter 7 > Lesson 7.3.1 > Problem 7-105

7-105.

Carolina compared her proof to that of Penn in problem 7-96. Like him, she wanted to prove that if and , then a = d . Unfortunately, her statements were in a different order. Examine her proof below and help her decide if her statements are in a logical order in order to prove that a = d. Homework Help ✎

Statements

Reasons

1. and

Given

2. a = b

If lines are parallel, alternate interior angles are equal.

3. a = c

Substitution

4. b = c

If lines are parallel, corresponding angles are equal.

5. c = d

Vertical angles are equal.

6. a = d

Substitution

Are all her statements in the proper order? Do the conclusions flow in a proper order?