To discuss how an image compares to the original figure if a triangle in Quadrant I is reflected over x - axis and then translated to 4 units right and 3 units up.
Also determine if a single transformation can map the original figure to the final image.
Explanation of Solution
Given:
A triangle in Quadrant I
Let
Now, let
Reflection:
The coordinates of triangle after a reflection over
The
So the coordinates of
Translation:
In the process of translation, to translate given points say
To move
To move
Now, the figure is translated 4 units right and 3 units up.
So the coordinates of
Here, a single transformation cannot map the original figure to the final figure.
Chapter 11 Solutions
Glencoe Math Accelerated, Student Edition
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