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The grid shows Figure Q and its image Figure Q′ after a transformation.

Figure Q is a pentagon drawn on a coordinate grid with vertices in clockwise order at point 2 comma 4, point 3 comma 7, point 7 comma 5, point 5 comma 4, and point 4 comma 2. Figure Q’ is a pentagon drawn with vertices in clockwise order at point negative 2 comma 4, point negative 4 comma 2, point negative 7 comma 3, point negative 5 comma negative 7, and point negative 4 comma 5.

Which of the following transformations could be used to prove that Figure Q and Figure Q′ are congruent?

Clockwise rotation of 180° about the origin
Counterclockwise rotation of 90° about the origin
Clockwise rotation of 90° about the origin
Counterclockwise rotation of 270° about the origin

1 answer

Counterclockwise rotation of 180° about the origin
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