Chapter 10.CR, Problem 36CR

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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

The line segments joining the midpoints of consecutive sides of an isosceles trapezoid form a rhombus.

To determine

**To answer:**

The analytic proof for the given theorem “The line segments joining the midpoints of consecutive sides of an isosceles trapezoid form a rhombus.”

Explanation

Given theorem is,

The line segments joining the midpoints of consecutive sides of an isosceles trapezoid from a rhombus.

The above graph shows the isosceles trapezoid ABCD.

The coordinates of the trapezoid are

Hence,

Midpoint of

Midpoint of

Midpoint of

Midpoint of

Midpoint of

Midpoint of

Midpoint of

Midpoint of

Length of

Length of

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