Question

given: jklm is an isosceles trapezoid, kl || jm. prove: km = jl. 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

Explanation:

Step1: Recall properties of isosceles trapezoid

In an isosceles trapezoid, the base - angles are congruent. Here, since JKLM is an isosceles trapezoid with bases KL and JM, the non - parallel sides JK and LM are equal and the base - angles formed by the non - parallel sides and the bases are congruent.

Step2: Identify the base - angles

∠JKL and ∠MLK are base - angles of the isosceles trapezoid JKLM.

Answer:

base angles theorem