Glencoe Math: Course 3, Volume 2
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Glencoe Math: Course 3, Volume 2 View details
2. Reflections
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Exercise 1 Page 464

Reflected points are the same distance from opposite sides of the line of reflection.

Graph:

polygon

Vertices: A'( 5,- 1), B'(1,- 2), C'(6,- 2)

Practice makes perfect

Let's start by plotting the given points and connecting them to draw our triangle.

polygon

We want to reflect this figure over the x-axis. To do so, we need to plot each vertex of the image A'B'C' the same distance from the line of reflection as its corresponding vertex on the preimage ABC. Because our line of reflection is the x-axis, this will change the sign of the y-coordinates of the points, but the x-coordinates will remain unchanged.

Preimage ABC Image A'B'C'
Vertex Distance From the x-axis Vertex Distance From the x-axis
A(5,1) 1 unit above the x-axis A'(5,- 1) 1 unit below the x-axis
B(1,2) 2 units above the x-axis B'(1,- 2) 2 units below the x-axis
C(6,2) 2 units above the x-axis C'(6,- 2) 2 units below the x-axis
Let's do the reflection!
translation