7
QuizMultiple Choice

Proving a Quadrilateral Is a Parallelogram

Question 7 • OH-Geometry B

Given: AB ≅ CD and AD ≅ BCProve: ABCD is a parallelogram. Statements Reasons1.AB ≅ CD;AD ≅ BC1.given2.AC ≅ AC2.reflexive property3.△ADC ≅ △CBA3.?4.∠DAC ≅ ∠BCA; ∠ACD ≅ ∠CAB4.CPCTC5.∠DAC and ∠BCA are alt. int. ∠s;∠ACD and ∠CAB are alt. int. ∠s5.definition of alternate interior angles6.AB ∥ CD; AD ∥ BC6.converse of the alternate interior angles theorem7.ABCD is a parallelogram7.definition of parallelogramWhat is the missing reason in step 3?

Question illustration
Answer
A
triangle angle sum theorem
B
SAS congruency theorem
C
SSS congruency theorem
D
CPCTC
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Given: AB ≅ CD and AD ≅ BCProve: ABCD is a…