Chapter 10.CR, Problem 32CR

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

*Prove the statements in Review Exercises 32 to 36 using analytic geometry.*

The line segment that join the midpoints of consecutive sides of a parallelogram from another parallelogram.

To determine

**To answer:**

The analytic proof for the given theorem “The line segment that join the midpoints of consecutive sides of a parallelogram from another parallelogram”

Explanation

Given theorem is,

The line segment that join the midpoints of consecutive sides of a parallelogram from another parallelogram

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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