3. The vertices of a rectangle are R(-5, -5), S(-1,-5), 7(-1, 1), and U(-5, 1). After translation, R' is the point (-11, -11). Find the translation rule and coordinates of U'.
O(x, y) → (x – 6, y + 6); (-11, 7)
O(x, y) → (x – 6, y - 6); (-11, -5)
(x + 6, y-6); (1, -5)
O(x, y) → (x + 6, y + 6); (1,7)
O(x, y) ☺

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.