Exercise 116 Page 64

Let's first copy the diagram.

To rotate the figure 270^(∘) counterclockwise about D, we have to use a protractor. Note that the protractor is only good for rotations up to 180^(∘). However, a 270^(∘) rotation counterclockwise is the same thing as a 90^(∘) rotation clockwise. Let's perform this rotation on point C.

If we repeat this procedure for all of the vertices we can draw the rotated figure.

Let's first copy the diagram.

To reflect the figure across line z, we have to draw perpendicular segments from each vertex to line z. By extending these segments on the opposite side of line z, and making them the same length as the first segments, we can locate the reflected vertex. Let's show this for T.