Use the diagram at the right. gab is isosceles with vertex angle
a and bcd is isosceles with vertex angle c. use the given
information from the figure to prove bgh congruent to bdh
by writing a proof. should be 10-13 steps

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.