   Chapter 4.4, Problem 6E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In trapezoid ABCD, M N ¯ is the median. Without writing a formal proof explain why M N = 1 2 ( A B + D C ) . To determine

To explain:

Why MN=12(AB+DC).

Explanation

Consider the following trapezoid ABCD.

In a trapezoid ABCD, MN is the median.

We know that, the length of the median (m) of a trapezoid is the average of the lengths of the bases.

It means m=b

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