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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 1.CR, Problem 43CR
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Elementary Geometry for College St...

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

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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 ∠1≅∠2.

Explanation

Given:

The given figure is,

Figure (1)

∠MOP≅∠MPO, 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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P-1CRSect-1.CR P-2CRSect-1.CR P-3CRSect-1.CR P-4CRSect-1.CR P-5CRSect-1.CR P-6CRSect-1.CR P-7CRSect-1.CR P-8CRSect-1.CR P-9CRSect-1.CR P-10CRSect-1.CR P-11CRSect-1.CR P-12CRSect-1.CR P-13CRSect-1.CR P-14CRSect-1.CR P-15CRSect-1.CR P-16CRSect-1.CR P-17CRSect-1.CR P-18CRSect-1.CR P-19CRSect-1.CR P-20CRSect-1.CR P-21CRSect-1.CR P-22CRSect-1.CR P-23CRSect-1.CR P-24CRSect-1.CR P-25CRSect-1.CR P-26CRSect-1.CR P-27CRSect-1.CR P-28CRSect-1.CR P-29CRSect-1.CR P-30CRSect-1.CR P-31CRSect-1.CR P-32CRSect-1.CR P-33CRSect-1.CR P-34CRSect-1.CR P-35CRSect-1.CR P-36CRSect-1.CR P-37CRSect-1.CR P-38CRSect-1.CR P-39CRSect-1.CR P-40CRSect-1.CR P-41CRSect-1.CR P-42CRSect-1.CR P-43CRSect-1.CR P-44CRSect-1.CR P-45CRSect-1.CR P-46CRSect-1.CR P-47CRSect-1.CR P-48CRSect-1.CR P-49CRSect-1.CR P-50CRSect-1.CR P-51CRSect-1.CR P-52CRSect-1.CT P-1CTSect-1.CT P-2CTSect-1.CT P-3CTSect-1.CT P-4CTSect-1.CT P-5CTSect-1.CT P-6CTSect-1.CT P-7CTSect-1.CT P-8CTSect-1.CT P-9CTSect-1.CT P-10CTSect-1.CT P-11CTSect-1.CT 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