Question

using transformations and rectangle abcd above, explain why segments ad and bc are congruent. make sure that your response includes specific details about the characteristics of the transformations be used. note: in the figure, points e, f, g, and h are midpoints of their respective sides.

Explanation:

A translation is a rigid - motion transformation. If we consider a translation that maps point A to point B, the vector of this translation will move point D to point C. Since translations preserve distance (a key characteristic of rigid - motion transformations), the length of segment AD is equal to the length of segment BC. So, segments AD and BC are congruent.

Answer:

Segments AD and BC are congruent because a translation (a rigid - motion transformation) that maps A to B will map D to C, and translations preserve distance.