if you are given a quadrilateral with 2 sets of congruent sides, can you conclude those sides are parallel

Question

anonymous · Answer

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anonymous · Answer

please

anonymous · Answer

Yes. It will be a parallelogram.

anonymous · Answer

how do you prove that

anonymous · Answer

Because the two trangles are congruent by SSS (since KM = KM by identity). Since both triangles are congruent, then angle JKM is congruent to angle KML by CPCTC.

And now you have parallel lines, since those two angles are equal and alternate interior angles, hence lines are parallel.

anonymous · Answer

THANK YOU SO MUCH!!!!!!!!!!!!!!!!!!!!!!

anonymous · Answer

If two lines are cut by a transversal such that alternate interior angles are equal, the two lines are parallel.

anonymous · Answer

KM is the transversal.