Question

if two or more polygons are congruent, which statement must be true about the polygons? read all of the choices before deciding.
a. pairs of corresponding angles have the same measure.
b. pairs of corresponding sides have the same length.
c. the polygons are parallelograms.
d. the polygons are regular.
e. rigid transformations can be used to map one polygon onto the other.
a. a, b, c, d, and e
b. a, b, and e
c. a, c, d, and e
d. a, c, and e

Explanation:

• For A: Congruent polygons have corresponding angles equal. By definition, if two polygons are congruent, their corresponding angles are congruent (same measure).
• For B: Congruent polygons have corresponding sides equal. If two polygons are congruent, their corresponding sides are congruent (same length).
• For C: Congruent polygons do not have to be parallelograms. For example, two congruent triangles are not parallelograms.
• For D: Congruent polygons do not have to be regular. A non - regular polygon (e.g., a rectangle that is not a square) can have a congruent non - regular polygon.
• For E: Rigid transformations (translations, rotations, reflections) can map one congruent polygon onto another. Since congruent polygons have the same shape and size, we can use rigid motions to map one onto the other.

Answer:

B. A, B, and E