Question

Quadrilateral J K L M is shown. A diagonal is drawn from point J to point L. Sides K L and J M are parallel. Sides J K and L M are congruent. The length of J L is 18, the length of J K is 16, and the length of J M is 40. Angle M is 45 degrees. If KM is drawn on this quadrilateral, what will be its length? 16 units 18 units 40 units 45 units

Answer 1

b

Explanation:

Answer 2

18 units

Explanation:

The Quadrilateral is a parallelogram.

Since Sides K L and J M are parallel and sides J K and L M are congruent, then the line drawn from J to L i.e JL will be equal to the line drawn from K to M i.e KM

In short the diagonal line JL will also be equal to the diagonal line KM. Since from the question we are given the length of J L to be 18 and JL = KM, hence the numerical length of KM will also be 18 units.