Chapter 4.4, Problem 16E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

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

# In Exercises 11 to 16, the drawing shows trapezoid ABCD with A B ¯ | | D C ¯ ; also, M and N are midpoints of A D ¯ and B C ¯ , respectively.Exercises 11-16Given: A B = x + 3 y + 4 and D C = 3 x + 5 y − 2 .Find: MN, in terms of x         a n d         y .

To determine

To Find:

MN in terms of xandy for the trapezoid ABCD.

Explanation

Consider the following trapezoid ABCD.

Given:

AB=x+3y+4 and DC=3x+5yâˆ’2.

Also in the given trapezoid, ABÂ¯||DCÂ¯.

M is the midpoint of the side ADÂ¯ and N is the midpoint of the side BCÂ¯.

MN is the median of the trapezoid ABCD

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