McGraw Hill Glencoe Geometry, 2012
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McGraw Hill Glencoe Geometry, 2012 View details
3. Rotations
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Exercise 9 Page 643

Begin by drawing a segment between the point of rotation and one of the vertices. Also, notice that in this exercise the center of rotation is one of the vertices of the given figure.

Practice makes perfect

To draw a rotation of a figure about point we need to follow a few steps.

  1. Draw a segment from one of the vertices to point
  2. Draw the given angle of rotation using the segment from Step and a protractor.
  3. Use a ruler to draw the image of the chosen vertex. Make sure that the segment from point to the image has the same length as the segment from Step
  4. Repeat Steps for the remaining vertices and connect the rotated points.

Let's draw the rotation of the given figure!

Step

Notice that in this case point is one of the vertices of the given figure. Therefore, the image and the preimage are the same for point Let's begin by drawing a segment from to

Step

Now we will draw the angle of rotation. In this case, it is Since it is greater than we cannot do it immediately with a protractor. Let's extend first. This gives us a angle.

Next, we will determine the remaining angle that we need to draw.
We can use a protractor to draw an angle.

Step

Finally, we will use a ruler to draw the image of We will measure then draw such that

Step

We repeat Steps for the remaining vertices.

Finally, we can connect the points to form the rotated image.