Question

Which theorem would show that x = 5 in the diagram?

Answer 1

I think that its midsegment

Explanation:

Answer 2

Midsegment theorem for Traoezoids

Step-by-step explanation:

Let's name the trapezoid ABCD such that AB is x, CD is 9 and midpoint line EF is 7, AB||CD, AE=ED and BF=FC.

EF=½(AB+DC)

So 7 = ½(x + 9)

x + 9 = 2 x 7

x + 9 = 14

x = 14 - 9

x = 5