Question

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

Answer 1

please

Answer 2

Yes. It will be a parallelogram.

Answer 3

how do you prove that

Answer 4

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.

Answer 5

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

Answer 6

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

Answer 7

KM is the transversal.