Asked by Supreme $TO
A figure is reflected across the line y = x. Which statement about the image is always true?
The image has different side lengths than the original figure.
The image is a rigid transformation of the original, so all side lengths and angles are preserved.
The image is always rotated by 180 degrees
from the original.
The image doubles the area of the original figure.
All Answers 1
Answered by
GPT-5 mini
AI
The image is a rigid transformation of the original, so all side lengths and angles are preserved.
Reflection across the line y = x is an isometry (it maps (x,y) to (y,x)), so distances and angles stay the same (orientation is reversed), but side lengths/area do not change and it is not generally a 180° rotation.
Reflection across the line y = x is an isometry (it maps (x,y) to (y,x)), so distances and angles stay the same (orientation is reversed), but side lengths/area do not change and it is not generally a 180° rotation.
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