   Chapter 2.CR, Problem 33CR ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# Given: A B ¯ ∥ C F ¯ ∠ 2 ≅ ∠ 3 Prove: ∠ 1 ≅ ∠ 3 To determine

To check:

The given statement.

Explanation

Given:

Line AB¯ is parallel to CF¯.

2 is congruent to 3.

Figure (1)

Property:

If two parallel lines are cut by a transversal, then a pair of corresponding angles is congruent.

Approach:

Line AB¯ is parallel to CF¯.

1 and 2 are corresponding congruent angles.

So,

12.

2 is congruent to 3.

23.

Use Transitive Property of congruence.

13

The proof for the given statement is shown in the following table,

 PROOF Statements Reasons 1. AB¯∥CF¯ 1. Given 2. ∠1≅∠2 2

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