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melomori [17]
3 years ago
11

Given AD = BC and AD parallel BC Prove ABCD is a parallelogram proof

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
7 0

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. Corresponding Parts                                                                                   of Congruent triangles are                                                                               Congruent (CPCTC)

7. ABCD is a parallelogram                                  7. parallelogram side                                                                                         theorem

natka813 [3]3 years ago
5 0

Answer: the ABC is up illogic of the Paul Graham that makes the box square root to DC=BA

Step-by-step explanation:

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