To Explain : Why rotation, reflection, and translation create congruent images.
Answer to Problem 16HP
Final answer
Explanation of Solution
Given information : Given oerations are rotation, reflection, and translation.
Two images are said to be the congruent image if they have the shape size and shape.
The operation rotation rotates the image by an angle. Hence, neither the shape nor size of the rotated image will be different from the earlier image. So, they will be a congruent image.
And, operation reflection flips the image about a line. So, neither the shape nor the size of the reflected image will be different from the earlier image. Hence, they will be a congruent image.
Also, operation translation just moves the entire image by a certain distance. Hence, neither the shape nor size of the translated image will be different from the earlier image. So, they will be a congruent image.
Chapter 11 Solutions
Glencoe Math Accelerated, Student Edition
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