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

a) J is congruent to ZK.
b) J is congruent to M.
c) KL is parallel to JM.
d) J is supplementary to ZK.
e) JK is parallel to LM.
f) IK KL.

Answer :

Final answer:

In a trapezoid, KL is parallel to JM and JK is parallel to LM. Options c and e are correct.

Explanation:

In a trapezoid, the following statements must be true:

  • J and M are not congruent, so option a) J is congruent to ZK is false.
  • J and M are not congruent, so option b) J is congruent to M is false.
  • The opposite sides of a trapezoid are parallel, so option c) KL is parallel to JM is true.
  • ZK and J are not supplementary angles, so option d) J is supplementary to ZK is false.
  • The opposite sides of a trapezoid are parallel, so option e) JK is parallel to LM is true.
  • Option f) IK KL is not clear and cannot be determined, so it cannot be answered based on the given information.

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