Middle School

Pentagon ABCDE is rotated 180° clockwise about the origin to form pentagon A′B′C′D′E′. Which statement is true?

A) Pentagon ABCDE is congruent to pentagon A′B′C′D′E′.
B) The sum of the angle measures of pentagon A′B′C′D′E′ is 180° more than the sum of the angle measures of pentagon ABCDE.
C) Each side length of pentagon A′B′C′D′E′ is 2 times the corresponding side length of pentagon ABCDE.
D) Each side length of pentagon A′B′C′D′E′ is \(\frac{1}{2}\) the corresponding side length of pentagon ABCDE.

Answer :

Final answer:

The rotation of pentagon ABCDE creates a congruent pentagon A′B′C′D′E′.

Explanation:

The correct statement is A) Pentagon ABCDE is congruent to pentagon A′B′C′D′E′. When a polygon is rotated 180° about the origin, the shape remains the same, but may be reflected or flipped. In this case, the pentagon is simply rotated, so the resulting pentagon A′B′C′D′E′ is congruent to ABCDE.

Learn more about Congruence here:

https://brainly.com/question/31992651

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A, bc the Pentagon is just flipped so nothing happened to it's size or shape

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