Triangle XYZ is rotated 90° clockwise about the origin to form triangle X'Y′Z'.

y. z. y. x. x.

Which statement is true?
The sum of the angle measures of triangle XYZ is 90° less than the sum of the angle measures of triangle X'Y′Z'.
The angle measures of triangle XYZ are less than the corresponding angle measures of triangle X'Y′Z'.
Triangle XYZ is not congruent to triangle X'Y′Z'.
The area of triangle XYZ is equal to the area of triangle X'Y′Z

The area of triangle XYZ is equal to the area of triangle X'Y′Z. This statement is true because the area will always remain the same.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

The sum of the angle measures of triangle XYZ is 90° less than the sum of the angle measures of triangle X'Y′Z'. This statement is not true because the rotation doesn't affect the angles.

Similarly, the second statement is not true that The angle measures of triangle XYZ are less than the corresponding angle measures of triangle X'Y′Z'.

Triangle XYZ is not congruent to triangle X'Y′Z'. This statement is not true because congruency doesn't affect by the rotation.

The area of triangle XYZ is equal to the area of triangle X'Y′Z. This statement is true because the area will always remain the same.

Learn more about triangles;

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