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

(C) Base angle theorem

Step-by-step explanation:

Given: JKLM is an isosceles trapezoid, KL ∥ JM  

Prove: KM ≅ JL

Proof:

Statements                                                                 Reasons

1. JKLM is an isosceles trapezoid, KL ∥ JM               Given

2. JK ≅ LM                                                definition of isosceles trapezoid

3.  KL ≅ KL                                                          reflexive property

4. ∠JKL ≅ ∠MLK                                          Base angle theorem (base=LK)

5. △JKL ≅ △MLK                                                       SAS rule

6. KM ≅ JL                                                                  CPCTC  

Hence proved.

therefore, option C is correct.

step-by-step explanation:

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