Triangle CDA is the image of triangle ABC after a 180 degree rotation around the midpoint of segment AC. Triangle ECB is the image of triangle ABC after a 180 degree rotation around the midpoint of segment BC.
D
Explain why ABCD and ABEC are parallelograms.
o A. Segments AC and BC are parallel, therefore segments AD and BE are also parallel. Two sets of parallel sides creates a parallelogran
B. A 180 degree rotation using a point not on a line takes that line to a parallel line. This creates 2 sets of parallel sides for each quadrila
C. Triangle ABC is a translation of triangle ACD. Therefore, these two triangles are congruent.