Core Connections Geometry, 2013
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Core Connections Geometry, 2013 View details
Chapter Closure

Exercise 128 Page 73

a Let's begin by copying the figure.

To rotate the figure 180^(∘) around Z, we need a protractor. First we draw segments from each vertex to Z. Then, place the center of the protractor at Z and line it up with one of these segments. By drawing a congruent segment from Z along the 90^(∘) mark on the protractor, we will have located the rotated point.

If we repeat this process for all vertices and connect the rotated points, we can draw C'.

b Like in Part A, we begin by copying the figure.

To reflect the shape across t, we have to draw perpendicular segments from each vertex to t. By extending these segments on the opposite side of t, until they reach the same length as their corresponding first segment, we have found the position of the reflected points.

We have now plotted all the reflected points. Finally, we will connect these points in order to graph the shape J'K'L'M'N'.

c To translate the figure 5 units down and 3 units right, we need to move all points by this number of steps.

By connecting the translated points, we can graph A'B'C'D'.