Look at Triangle XYZ on the coordinate plane.

Which transformation performed on Triangle XYZ will create an image Triangle X'Y'Z' with point Y' located at (−3,1)?
A
a clockwise rotation of 90 degrees about the origin

B
a reflection over the y-axis

C
a translation upward of 1 unit

D
a counter-clockwise rotation of 90 degrees about the origin

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have a triangle XYZ shown in the picture.

We have to create an image of triangle XYZ such that point Y' is located at (−3,1).

As we know,

In a clockwise direction the angle measured is negative.

In an anticlockwise direction the angle measured is positive.

If we rotate 90 degrees the triangle XYZ in an anticlockwise direction about origin we will get an image of triangle XYZ and point Y' is located at (−3,1).

Thus, option (D) a counter-clockwise rotation of 90 degrees about the origin is correct.

Learn more about the geometric transformation here:

brainly.com/question/16156895

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