Which of the following transformations map polygon ABCD to itself? Select all that apply.

1. a 90° clockwise rotation about the origin

2. a reflection in the x-axis

3. a reflection in the y-axis

4. a 180° clockwise rotation about the origin

5. a reflection in the line y = x

6. a 45° clockwise rotation about the origin

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.