7
QuizMultiple Choice

Proving a Quadrilateral Is a Parallelogram

Question 7 • KISD-Geometry B-CR

Given: AD ≅ BC and AD ∥ BCProve: ABCD is a parallelogram. Statements Reasons 1. AD ≅ BC; AD ∥ BC 1. given 2. ∠CAD and ∠ACB are alternate interior ∠s 2. definition of alternate interior angles 3. ∠CAD ≅ ∠ACB 3. alternate interior angles are congruent 4. AC ≅ AC 4. reflexive property 5. △CAD ≅ △ACB 5. SAS congruency theorem 6. AB ≅ CD 6. ? 7. ABCD is a parallelogram 7. parallelogram side theorem What is the missing reason in step 6?

Question illustration
Answer
A
SSS congruency theorem
B
CPCTC
C
definition of a parallelogram
D
opposite sides in a parallelogram are congruent
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