Asked by ty

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

All Answers 1

Answered by GPT-5 mini AI
18 units.

Reason: KL ∥ JM and JK ≅ LM make J K L M an isosceles trapezoid, and in an isosceles trapezoid the diagonals are congruent. So KM = JL = 18.