Question

the diagram shows where the polygon is in frame 2.
a. complete the steps to find the point of rotation.

1. label a piece of tracing paper as c.
2. copy the polygon onto tracing paper c.
3. use the point of your writing utensil to find the point of rotation so the polygon can be rotated to look like frame 3.
4. place a dot on frame 2 to show the point of rotation.
5. place tracing paper c on the circular graph paper so the point of rotation is where the two red axes meet, and the polygon is oriented as in frame 2. rotate tracing paper c so that it looks like frame 3.

b. complete the statements.
to move the polygon so it looks like frame 3, rotate the diagram on tracing paper c ____ degrees clockwise or ____ degrees counterclockwise.
the center of rotation is
the top left vertex.
the top right vertex.
the bottom left vertex.
the bottom right vertex.
the center of the polygon.

Explanation:

Step1: Analyze the rotation

When rotating a figure, we can observe the angle change. If we rotate clock - wise, we look at the clock - wise direction on the circular graph paper. If we rotate counter - clockwise, we look at the opposite direction.

Step2: Determine the angles

Looking at the circular graph paper (which is like a unit circle divided into angles). If we rotate clockwise, from the initial position (frame 2) to frame 3, we can count the angle. The angle between the two positions is \(90\) degrees clockwise. If we rotate counter - clockwise, the full circle is \(360\) degrees. So \(360 - 90=270\) degrees counter - clockwise.

Step3: Locate the center of rotation

When we use the method of tracing paper and rotating (as described in part a), we find that the center of rotation is the center of the polygon. Because when we rotate a regular polygon (assuming it's a regular - like shape for the purpose of rotation symmetry here) about its center, we can get the rotated images as described.

Answer:

To move the polygon so it looks like frame 3, rotate the diagram on tracing paper C \(90\) degrees clockwise or \(270\) degrees counter - clockwise. The center of rotation is the center of the polygon.