Chapter 4.3, Problem 27E

### 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

# Which type(s) of quadrilateral(s) is (are) necessarily cyclic? a) A square b) A parallelogram

To determine

To find:

The type(s) of quadrilateral(s) is (are) necessarily cyclic.

Explanation

Quadrilateral means four-sided figure. Put them together, and we get the definition for cyclic quadrilateral: any four-sided figure (quadrilateral) whose four vertices (corners) lie on a circle.

The sum of opposite angles of a cyclic quadrilateral 180 degrees.

In other words, angle A + angle C = 180, and angle B + angle D = 180

Calculation:

To find a square is necessarily cyclic or not:

A square is a rectangle that has two congruent adjacent sides.

If the quadrilateral is a cyclic quadrilateral, then all vertices of a quadrilateral lie on a circle...

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