If JKLM is a trapezoid, which statements must be true? Check all that apply.

Answer:Options A and E are correct choices.Step-by-step explanation:We have been given diagram of a trapezoid. We are asked to choose the correct option about our given trapezoid.  We will use trapezoid properties to solve our given problem.  We know that each lower base angle is supplementary to the upper base angle on the same side.  We can see that angle K is upper base angle and angle J is lower base angle, so [tex]\angle J[/tex] is supplementary to angle [tex]\angle K[/tex]. Therefore, option A is the correct choice.If we have been given that our given trapezoid is an isosceles trapezoid, then angle J must be congruent to angle M as lower base angles of an isosceles trapezoid are congruent. Since we have not been given that our given trapezoid is an isosceles trapezoid, therefore, we cannot choose option B.We know that bases of a trapezoid are parallel by definition.Upon looking at our given diagram, we can see that segment KL and segment JM are bases, so line segment KL must be parallel to line segment JM. Therefore, option E is the correct choice.