Question

figure on the left is rotated 90° clockwise around point p to form the right. use the information in the original figure to label the corresponding parts in the image.

Explanation:

Step1: Recall rotation rules

For a 90 - degree clock - wise rotation around a point $(x_0,y_0)$ of a point $(x,y)$, the new coordinates $(x',y')$ are given by $(x_0+(y - y_0),y_0-(x - x_0))$. In a grid - based system, we can also use the property that perpendicular lines in the original figure remain perpendicular in the rotated figure, and lengths and angles are preserved under rotation.

Step2: Identify key points

Identify key points in the original figure such as vertices of the polygon. For example, if we have a vertex at a particular grid intersection in the original figure, we can find its new position after 90 - degree clock - wise rotation around point P.

Step3: Rotate each part

For each side of the polygon, use the rotation rules for its endpoints to find the new position of the side. For angles, since rotation is a rigid transformation, the measure of the angles remains the same. So the 72 - degree angle in the original figure will still be 72 degrees in the rotated figure, the 135 - degree angle will remain 135 degrees, and the right - angle will remain a right - angle. The lengths of the sides 2 and 2.2 will also remain the same in the rotated figure.

Answer:

Label the rotated figure with the same angle measures (72°, 135°, 90°) and side lengths (2, 2.2) as in the original figure, using the rotation rules to find the new positions of the vertices and sides around point P.