Use the image to answer the question.

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.

A triangle is rotated about P
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
P
or °
°
clockwise about P
P
.
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1 answer

To complete the sentence accurately regarding the rotation of the triangles around point P (the vertex of the right angle), the following general information can be used:

  1. Counterclockwise rotation: This is usually considered a positive rotation starting from the original position of the triangle.
  2. Clockwise rotation: This is regarded as a negative rotation from the original position of the triangle.

Given that one triangle is touching the right ray of angle p (vertex A), and the other triangle is touching the left ray of angle p (vertex A'), it implies the following:

  • If triangle ABC (vertex A touching the right ray) is rotated counterclockwise, it might reach the left ray where A' is.
  • Conversely, if triangle A'B'C' (with vertex A' on the left ray) is rotated clockwise, it would reach the right ray where A is.

Thus the completion would typically involve specific angle values, which would depend on how far the triangles are from the rays. However, since you haven't provided specific angles in the prompt, here is the general structure:

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

You could replace X and Y with the specific degrees of rotation if that information is available to you. For example, if the triangles are 90 degrees apart, you might fill in the blanks as follows:

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

Please replace the X and Y with the appropriate angles based on the specific image details or angles you have in your source.