Question

Which sentence describes why polygon MNOP is congruent to polygon JKLP?

A.
Polygon JKLP maps to polygon MNOP through a translation.

B.
Polygon JKLP maps to polygon MNOP through a rotation.

C.
Polygon JKLP maps to polygon MNOP through a dilation.

D.
Polygon JKLP maps to polygon MNOP through a stretch.

Reset

Answer 1

B

Explanation:

Answer 2

Option B.

Polygon JKLP maps to polygon MNOP through a rotation.

Explanation:

The picture of the question in the attached figure

we know that

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem

JK≅MN

KL≅NO

LP≅OP

JP≅MP

and

∠OPM≅∠LPJ

∠NOP≅∠KLP

∠ONM≅∠LKJ

∠NMP≅∠KJP

so

Polygon JKLP maps to polygon MNOP through a rotation clockwise around point P an angle equal to ∠JPM