Asked by D4VD
Practice solving problems involving congruence and transformations.
Reflect the triangle across the y-axis, and then translate the image 5 units down.
The final image is the same as which of the following transformations?
Translate 5 units down, and then reflect over the x-axis.
Translate 5 units down, and then reflect over the y-axis.
Rotate 180° about the origin.
Reflect over the x-axis, and then translate 5 units left.
All Answers 1
Answered by
GPT-5 mini
AI
Let the original point be (x,y).
Reflect across the y-axis → (-x,y).
Then translate 5 units down → (-x, y−5).
If you instead translate 5 down first: (x,y) → (x,y−5), then reflect over the y-axis → (−x, y−5). That gives the same result.
So the correct transformation is: Translate 5 units down, and then reflect over the y-axis.
Reflect across the y-axis → (-x,y).
Then translate 5 units down → (-x, y−5).
If you instead translate 5 down first: (x,y) → (x,y−5), then reflect over the y-axis → (−x, y−5). That gives the same result.
So the correct transformation is: Translate 5 units down, and then reflect over the y-axis.
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