10
QuizMultiple Choice
Proving a Quadrilateral Is a Parallelogram
Question 10 of 10 • NY-Geometry Term 2 Hillcrest
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?
Answer
A
SSS congruency theoremB
CPCTCC
definition of a parallelogramD
opposite sides in a parallelogram are congruent