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Levart [38]
3 years ago
6

Given: AD = BC and AD || BC

Mathematics
1 answer:
o-na [289]3 years ago
5 0

Answer:

See below

Step-by-step explanation:

<u><em>Proof:</em></u>

<u><em>Statements  </em></u>                                  |  <u><em>Reasons</em></u>

AD ≅ BC                                         | Given

AD ║ BC                                         | Given

AC ≅ AC                                         |  Reflexive Property

∠DAC ≅ ∠ACB                               | If 2 || lines are cut by a trans., the                                                                       |  alternate interior ∠s are congruent.

ΔADC ≅ ΔBCA                               | S.A.S  Postulate

BA ≅ DC                                         | Corresponding sides of congruent Δs

So, quad. ABCD is a ║gm             | If a quad. has its opposite sides

                                                       | congruent, the quad. is a parallelogram.

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