Question

Quadrilateral MNOP below is a trapezoid. Use the figure to select the best answer from the choices provided

If HG = 6 and PO = 8, what is the length of MN?

A. 4
B. 7
C. 10
D. 14

Answer 1

i think it is 4 because it is lowering by 2 from po-8 to hg-6. my answer: mn-4

Explanation:

Answer 2

A. 4

Explanation:

HG = 6,

PO = 8

HG = ½(PO + MN) => Trapezoid Mid-segment Theorem

Plug in the values into the equation

6 = ½(8 + MN)

Multiply both sides by 2

2*6 = 8 + MN

12 = 8 + MN

12 - 8 = 8 + MN - 8 => Subtraction Property of Equality

4 = MN

MN = 4