Suppose △ABC has coordinates A (2, 3), B (5, 1), C (4, 4), line m is the line with equation y = −5, and △ABC is mapped to △A′B′C′ by applying the glide reflection T⟨ −2, 1 ⟩∘ Rm. Select all the statements that are true about △A′B′C′.

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.