Chapter 10.4, Problem 18E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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Use the analytic method to decide what type of quadrilateral is formed when the midpoints of the consecutive sides of a parallelogram are joined by the line segments.

To determine

**To answer:**

What type of quadrilateral is formed for the given condition?

Explanation

Given theorem is,

The midpoints of the consecutive sides of a parallelogram are joined by the line segments

The above figure shows the parallelogram ABCD.

P, Q, R and S are the midpoints of the sides of the parallelogram AB, BC, CD and AD respectively.

Now, joining the midpoints PQ, QR, RS and SP as shown in the above figure.

The coordinate of the quadrilateral ABCD is

The midpoint of AB

The midpoint of AB

The midpoint of AB

The midpoint of BC

The midpoint of BC

The midpoint of CD

The midpoint of CD

The midpoint of CD

The midpoint of AD

The midpoint of AD

Using distance formula,

PQ

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