In the diagram, figure ABCD is a transformation of figure PMNO.

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Question:

In the diagram, figure ABCD is a transformation of figure PMNO.

Name the segment which is congruent to BC.
PM
NO
MN
PO

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Answer:

The trapezoid ABCD is rotated by some angle about some point to form the trapezoid PMNO.

Basic Properties of Rotations:

1. A rotation maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle.

2. A rotation preserves lengths of segments.

3. A rotation preserves degrees of angles.

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4. When parallel lines are rotated, their images are also parallel.

Un trapezoid ABCD lines AB and CD are parallel, in trapezoid lines PM and ON are parallel. Angles ∠B and ∠M are equal as well as angles ∠C and ∠N. This means that the rotation image of BC is MN.

Answer: Correct choice is C.

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