AnswersSTPSB_Geometry 2627 TreigleParallelogramsQuestion 114411
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Parallelograms

Question 114411 • *STPSB_Geometry 2627 Treigle

By the definition of a ▱, AD∥BC and AB∥DC.

Answer
Using, AD as a transversal, ∠A and ∠ are same-side interior angles, so they are . Using side as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. Using AB as a transve:

D

Using, AD as a transversal, ∠A and ∠ are same-side interior angles, so they are . Using side as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. Using AB as a transve:

supplementary

Using, AD as a transversal, ∠A and ∠ are same-side interior angles, so they are . Using side as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. Using AB as a transve:

BC

Therefore, ∠A is congruent to ∠C because they are supplements of the same angle. Similarly, ∠B is congruent to ∠.:

D

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By the definition of a ▱, AD∥BC and AB∥DC.