Chapter 8.CR, Problem 23CR

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

Elementary Geometry For College St...

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

Can a circle be circumscribed about each of the following figures? Why or why not? a) Parallelogram c) Rectangle b) Rhombus d) Square

To determine

(a)

To find:

Can a circle be circumscribed about parallelogram or not.

Explanation

If perpendicular bisectors of sides of any quadrilateral are concurrent, then a circle be circumscribed about that quadrilateral. In a parallelogram, the perpendicular bisectors of sides need not be concurrent.

Consider the parallelogram, we can circumscribe circle about a quadrilateral if the diagonals of the quadrilateral are equal...

To determine

(b)

To find:

Can a circle be circumscribed about rhombus or not.

To determine

(c)

To find:

Can a circle be circumscribed about rectangle or not.

To determine

(d)

To find:

Can a circle be circumscribed about square or not.

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