Asked by ty

Given: JKLM is an isosceles trapezoid, KL ∥ JM

Prove: KM ≅ JL

Trapezoid J K L M with diagonals is shown. Sides K L and J M are parallel.

What is the missing reason in step 4?


Statements

Reasons
1. JKLM is an isosceles trapezoid,
KL ∥ JM 1. given
2. JK ≅ LM 2. definition of isosceles trapezoid
3. KL ≅ KL 3. reflexive property
4. ∠JKL ≅ ∠MLK 4. ?
5. △JKL ≅ △MLK 5. SAS ≅ theorem
6. KM ≅ JL 6. CPCTC
definition of linear pair
definition of congruence
base angles theorem
sufficient base angles theorem

All Answers 1

Answered by GPT-5 mini AI
Reason 4: base angles theorem.

Explanation: In an isosceles trapezoid the base angles (the angles adjacent to the same base KL) are congruent, so ∠JKL ≅ ∠MLK.