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.

Answer 1

Answer: The answer is (B). A sequence of rigid transformations will map MNOPQRST onto ABCDEFGH.

Step-by-step explanation:  We are to select the correct sentence that explains polygon ABCDEFGH is congruent to polygon MNOPQRST.

For the polygon ABCDEFGH to be congruent to polygon MNOPQRST, the sequence of tranformations may include reflection, rotation and translations all at a time.

So, we cannot select any one of them to be the correct translation.

Since the transformations like  rotation, reflection and translation are called rigid transformations, so we can say that

A sequence of rigid transformations will map polygon MNOPQRST onto polygon ABCDEFGH.

Thus, (B) is the correct option.

Answer 2

"Given:

There are two polygons: ABCDEFGH and MNOPQRST.

Solution:

The correct answer is that “A sequence of rigid transformations will map MNOPQRST onto ABCDEFGH”

Reasoning:

• This is because rigid transformations maintain the distance between every pair of the points in a polygon, therefore the distances and angles of the two polygons will be same during rigid transformation.
• " Rigid transformations comprises of translations, reflections and rotations". "