3. Deon left school and traveled toward the mountains at an average speed of 24 mph. Sometime later
Hana left traveling the same direction but at an
average speed of 40 mph. After traveling for 3
hours, Hana caught up with Deon. How long did Deon
travel before Hana caught up?

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.