   Chapter 4.4, Problem 10E 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

For Exercises 9 and 10, consider isosceles trapezoid RSTV with R S ¯ | | V T ¯ , and midpoints M, N, P, Q of the sides.Does a) Q N = 1 2 ( R S + V T ) ? .b) M P = 1 2 ( R V + S T ) ? . Exercises 9, 10

To determine

a)

To Explain:

Does QN=12(RS+VT)?

Explanation

Consider the following isosceles trapezoid RSTV.

In an isosceles trapezoid, RS¯||VT¯.

Q is the midpoint of the side RV and N is the midpoint of the side ST.

QN is the median of the trapezoid RSTV.

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

It means m=b1+b22

To determine

b)

To Explain:

Does MP=12(RV+ST)?

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