1. Congruence and Transformations
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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)
Let's start by plotting the given points and connecting them to draw our triangle.
| 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!