Linest and mare perpendicular with point of intersection P.

Noah says that a 180 degree rotation, with center P, has

the same effect on points in the plane as reflecting over

line m. Do you agree with Noah? Explain your reasoning.

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.