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, Problem 20CR
To determine

To prove : The congruency of BE¯ with respect to CD¯ .

Expert Solution & Answer
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Explanation of Solution

Given information : Here, we have given that PA¯m and PD¯PE¯

Proof: In ΔPAD and ΔPAE

  PD¯PE¯ (Given)

  PA¯PA¯ (Common)

  DPAEPA (as, PA¯m )

  ΔPADΔPAE (By SAS Congruency Rule)

  AD¯AE¯ (By Corresponding Part of Congruent Triangles)

Now, In ΔABE and ΔACD ,

  AE¯AD¯ (Proved above)

  AA (Common)

  AB¯AC¯ (Radius of the circle)

  ΔABEΔACD (By SAS Congruency Rule)

  BE¯CD¯ (By Corresponding Part of Congruent Triangles)

Chapter 6 Solutions

Geometry For Enjoyment And Challenge

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