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
Accepted Solution
A:
Answer:(C) Base angle theoremStep-by-step explanation:Given: JKLM is an isosceles trapezoid, KL ∥ JM Prove: KM ≅ JL Proof: Statements Reasons1. JKLM is an isosceles trapezoid, KL ∥ JM Given2. JK ≅ LM definition of isosceles trapezoid 3. KL ≅ KL reflexive property4. ∠JKL ≅ ∠MLK Base angle theorem (base=LK)5. △JKL ≅ △MLK SAS rule6. KM ≅ JL CPCTC Hence proved.therefore, option C is correct.