Geometry For Enjoyment And Challenge
Geometry For Enjoyment And Challenge
91st Edition
ISBN: 9780866099653
Author: Richard Rhoad, George Milauskas, Robert Whipple
Publisher: McDougal Littell
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Chapter 6.1, Problem 7PSB
To determine

To show that sides CA and CB are congruent.

Expert Solution & Answer
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Answer to Problem 7PSB

  CA¯ and CB¯ are congruent.

Explanation of Solution

Given information:

A,P and M lie in plane m .

  CP AP CP PB  PA¯    PB¯

Formula used:

The below properties are used:

Perpendicular lines form right angles.

Right angles are congruent.

Two triangles are congruent by SAS congruence rule.

Proof:

It is given that,

A, P and M lie in plane m .

  CP AP CP PB  PA¯    PB¯

  Geometry For Enjoyment And Challenge, Chapter 6.1, Problem 7PSB

Perpendicular lines form right angles.

  CPA and  CPB are right angles.

Right angles are congruent.

  CPA    CPB

By reflexive property, we get

  CP¯   CP¯

By SAS congruence rule, we get

  ΔCPA    ΔCPB  

As corresponding parts of congruent triangles are congruent, we get

  CA¯    CB¯

Chapter 6 Solutions

Geometry For Enjoyment And Challenge

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