Two triangles touch the rays of a right angle labeled p. Vertex A of triangle A B C touches the right ray of angle p. Vertex A prime of triangle A prime B prime C prime touches the left ray of angle p. The rays are drawn with dotted lines.

Question

A triangle is rotated about P in the diagram. Complete the sentence to accurately describe the degree of rotation in both directions. Recall that clockwise rotations are written with a negative degree.

(1 point)
The triangle is rotated
°
counterclockwise about P
or
°
clockwise about P
.

Answer 1

To determine the degree of rotation, we need to visualize or analyze how the triangles touch the rays of the right angle at point P.

Assuming triangle ABC is touching the right ray of angle p and triangle A'B'C' is touching the left ray, if we rotate triangle ABC counterclockwise to superimpose it on triangle A'B'C', then you would measure that rotation from the right ray to the left ray.

For a right angle, the clockwise rotation from the right ray to the left ray is -90 degrees, while the counterclockwise rotation is +90 degrees.

Thus, we complete the sentence as follows:

The triangle is rotated 90° counterclockwise about P or -90° clockwise about P.