Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
2. Reflections
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Exercise 14 Page 558

Begin by drawing the preimage. Locate the image of each vertex so that the reflection line is the perpendicular bisector of the segment between the vertex and its image.

J'(- 1, 4), A'(- 3, 5), G'(- 2, 1)

Practice makes perfect

To graph a reflection image in a line, we need to follow a few steps.

  1. Graph the preimage and identify the line of reflection on the coordinate plane.
  2. Locate the image of each vertex so that the reflection line is the perpendicular bisector of the segment between the vertex and its image.
  3. Connect the new vertices to draw the image of the given figure.
Let's do it!

Step 1

We will begin by plotting the given vertices and graphing the figure. Since the given reflection is R_(y -axis), we will identify the y -axis as the line of reflection.

Step 2

Now, we will locate the image of each vertex so that the y -axis is the perpendicular bisector of the segment between the vertex and its image. The distance between the image vertex and the y -axis must be the same as the distance between the preimage vertex and the y -axis. This is shown for vertex A below.

Step 3

Finally, we can connect the new vertices to draw the reflection image of the given figure.