Question

which sentence explains why polygon abcdefgh is congruent to polygon mnopqrst?
a. a sequence of translations will map mnopqrst onto abcdefgh.
b. a sequence of rigid transformations will map mnopqrst onto abcdefgh.
c. a sequence of rotations will map mnopqrst onto abcdefgh.
d. a sequence of reflections will map mnopqrst onto abcdefgh.

Explanation:

Congruent polygons can be mapped onto each other through rigid transformations. Rigid transformations (which include translations, rotations, and reflections) preserve the shape and size of a figure. A single translation (option A) or a single rotation (option C) or a single reflection (option D) may not be sufficient. But a sequence of rigid transformations (which can combine translation, rotation, reflection in any order) will always map one congruent polygon onto another as they maintain the side - lengths and angles (the properties required for congruence).

Answer:

B. A sequence of rigid transformations will map \(MNOPQRST\) onto \(ABCDEFGH\)