Glencoe Math: Course 3, Volume 2
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Glencoe Math: Course 3, Volume 2 View details
1. Congruence and Transformations
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Exercise 18 Page 516

A reflection is a transformation in which every point of a figure is reflected in a line.

Graph:

Vertices: X'(1,1), Y'(- 3,1), Z'(- 1,3)

Practice makes perfect

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

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

Preimage XYZ Image X'Y'Z'
Vertex Distance From the y-axis Vertex Distance From the y-axis
X(- 1,1) 1 unit to the left from the y-axis X'(1,1) 1 unit to the right from the y-axis
Y(3,1) 3 units to the right from the y-axis Y'(- 3,1) 3 units to the left from the y-axis
Z(1,3) 1 unit to the right from the y-axis Z'(- 1,3) 1 unit to the left from the y-axis

Let's do the reflection!

translation