High School

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An irregular pentagon is rotated 180° about the origin. Which of the following statements is not true?

A. The new pentagon is the same size as the original pentagon.
B. The new pentagon is the same shape as the original pentagon.
C. The new pentagon is in the same orientation as the original pentagon.
D. The x-coordinates of the new pentagon are the same as the x-coordinates of the original pentagon.

Answer :

Final answer:

When a shape is rotated 180° about the origin, its size remains unchanged.

Explanation:

The correct answer is A. The new pentagon is the same size as the original pentagon.

When a shape is rotated 180° about the origin, its size remains unchanged. The size of a shape refers to its dimensions, such as its length, width, and area. In this case, even though the shape has been rotated, the dimensions of the pentagon remain the same.

For example, if the original pentagon had sides of length 5 units, the rotated pentagon would still have sides of length 5 units. The size of the pentagon has not changed.

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