Question

4. A pentagon is rotated 180 degrees about the

origin. Which statement is true?
a) The pre-image and image are congruent.
b) The sum of the angles in the image is
more than the sum of the angles in the
pre-image.
c) Each side length of the image is 2 times
the corresponding side length of the
pre-image.
d) Each side length of the image is one-half
the corresponding side length of the
pre-image.

Answer 1

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Answer:

a) The pre-image and image are congruent.

Explanation:

"Rotation" is one of the "rigid" transformations. As such, it does not change angles or lengths. The rotated figure is congruent to the original, as it is with any rigid transformation.

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Additional comment

The other rigid transformations are translation and reflection.