Chapter 10.4, Problem 12E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 1 to 17, complete an analytic proof for each theorem.*

The median of a trapezoid is parallel to the bases of the trapezoid and has a length equal to one-half the sum of the lengths of the two bases.

To determine

**To answer:**

The analytic proof for the given theorem “The median of a trapezoid is parallel to the bases of the trapezoid and has a length equal to one-half the sum of the lengths of the two bases”

Explanation

Given theorem is,

The median of a trapezoid is parallel to the bases of the trapezoid and has a length equal to one-half the sum of the lengths of the two bases.

The above graph shows the trapezoid ABCD.

AB is the lower base and DC is the upper base.

P is the midpoint of AD and Q is the midpoint of BC.

Joining the points P and Q as shown in the above figure.

Coordinates of the trapezoid is

Length of the upper base DC is a below,

Length of the lower length AB is as below,

Midpoint of AD is as below,

Similarly, the midpoint of BC is as below,

Sect-10.1 P-1ESect-10.1 P-2ESect-10.1 P-3ESect-10.1 P-4ESect-10.1 P-5ESect-10.1 P-6ESect-10.1 P-7ESect-10.1 P-8ESect-10.1 P-9ESect-10.1 P-10E

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