Chapter 4.3, Problem 25E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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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

**Cyclic quadrilateral definition:**

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.

**Property of cyclic quadrilateral:**

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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