5. Map AQRS to AQ'R'S' with a reflection across the y-axis followed by a translation
6 units down.
Q
У
4
R
S
2
Х
- 4 - 2
o
2.
4
2.
-4

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.