   Chapter 6.3, Problem 6E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Two congruent intersecting circles B and D (not shown) have a line (segment) of centers B D ¯ and a common chord A C ¯ that are congruent. Explain why quadrilateral ABCD is a square.

To determine

To find:

To explain why quadrilateral ABCD is a square by using the following condition,

“Two congruent intersecting circles B and D (not shown) have a line (segment) of centers BD¯ and a common chord AC¯ that are congruent.”

Explanation

Given that circles B and D are congruent. Also centers BD¯ and a common chord AC¯ that are congruent.

That is BD¯AC¯

The diagrammatic representation is given below,

Form the above circles AB=BC

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