Question

Given the diagram below, what is the length of segment EF?

Answer 1

Answer: D. 5

Explanation:

In the given figure , we have give a trapezioid ABCD with parallel sides BC= 3.3 units and AD= 6.7 units.

Also, E and F appears as the mid points of non parallel sides AB and CD and parallel to the bases BC and AD.

⇒ EF would be the median of trapezioid ABCD.

Also, we know that , the length of the median of a trapezoid equals to one-half the sum of the lengths of the two bases.

i.e. length of EF =
`(1)/(2)(AD+BC)`

i.e. length of EF =
`(1)/(2)(6.7+3.3)`

i.e. length of EF =
`(1)/(2)(10)`

i.e. length of EF = 5 units.

Answer 2

D) 5

Explanation:

This is the median of the trapezoid. It is the line segment that connects the midpoints of the non-parallel sides of the trapezoid.

The length of the median of a trapezoid is equal to 1/2 the sum of the bases; this makes ours

1/2(3.3+6.7) = 1/2(10) = 5