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Pearson Geometry Common Core, 2011 View details

2. Reflections

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Exercise 15 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'(1,0), A'(3,- 1), G'(2,3)

Practice makes perfect

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

Graph the preimage and identify the line of reflection on the coordinate plane.
Locate the image of each vertex so that the reflection line is the perpendicular bisector of the segment between the vertex and its image.
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 =2), we will identify y = 2 as the line of reflection.

Step 2

Now we will locate the image of each vertex so that y = 2 is the perpendicular bisector of the segment between the vertex and its image. The distance between the image vertex and y = 2 must be the same as the distance between the preimage vertex and y = 2. 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.

Subchapter links

Lesson Check p.557

Practice and Problem-Solving Exercises p.557-560

Standardized Test Prep p.560

Mixed Review p.560

Exercise 15 Page 558

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