Question

Complete the sentence.

If the polygon is rotated 90° clockwise about the origin, the measure of angle X's and the measure of angle W' is
A) The measure of angle X's remains the same, while the measure of angle W' becomes 90°.
B) The measure of angle X's becomes 90°, while the measure of angle W' remains the same.
C) The measure of angle X's becomes 180°, while the measure of angle W' becomes 90°.
D) The measure of angle X's becomes 90°, while the measure of angle W' becomes 180°.

Answer 1

The correct completion of the sentence is A, meaning that the measures of both angles X and W remain the same after a 90° clockwise rotation about the origin.

Step-by-step explanation:

To complete the sentence: If the polygon is rotated 90° clockwise about the origin, the measure of angle X's and the measure of angle W's is...

The correct answer is A) The measure of angle X's remains the same, while the measure of angle W' becomes 90°.

When any polygon is rotated about the origin, the angle measures of the corresponding angles remain the same unless additional transformations are applied. The size of an angle does not change with rotation. The term 'W' seems to refer to a contextual aspect from a figure or a previous part of the question not provided here. Assuming W refers to an angle within the polygon, its measure also remains unchanged after rotation unless specifically altered.