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​

Answer 1

Answer:

B,

A, B and E.

Step-by-step explanation:

A, B and E,

Congruent means they are the same shape and size.

They don't have to be parallelograms or regular.

Answer 2

Answer:

A. Pairs of corresponding angles have the same measure.

B. Pairs of corresponding sides have the same length.

E. Rigid transformations can be used to map one polygon onto the other.

Step-by-step explanation:

Congruence is about equality between sides and angles.

In geometry, when we say to figures are congruent, that means each corresponding element are the same.

So, in this case, if two or more polygons are congruent, that means the corresponding angles and sides as equal in measure and length, that's why A and B are true statements.

Now, if two figures are congruent, and all their corresponding elements are equal, that means we can show this congruence by using rigid transformations to place one on top of the other. Remember that rigid transformations refers to those transformations where the figure doesn't change its dimensions, just translate across the plane.

Therefore, the right choice is B, which includes A, B and E as true statements.