   Chapter 1.CR, Problem 43CR 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

Write two-column proofs for Review Exercises 39 to 46. Given: ∠ M O P ≅ ∠ M P O O R → bisects ∠ M O P P R → bisects ∠ M P O Prove: ∠ 1 ≅ ∠ 2 To determine

To find:

The two-column proof for 12.

Explanation

Given:

The given figure is,

Figure (1)

MOPMPO, OR bisects MOP, PR bisects MPO.

Approach:

An angle bisector splits an angle into two equal angles.

The reasons for given statements is explained in table below.

 Statements Reasons 1. ∠MOP≅∠MPO 1. Given 2. OR→ bisects ∠MOP 2. Given 3. PR→ bisects ∠MPO 3

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