QUESTION IMAGE
Question
triangle 1 undergoes four different transformations. the results of these transformations are shown. which statement best describes one of these transformations? triangle 1 is rotated to result in triangle 2. triangle 1 is dilated to result in triangle 3. triangle 1 is reflected to result in triangle 4. triangle 1 is stretched to result in triangle 5.
Brief Explanations
- Analyze each option:
- Option 1: Rotation changes the orientation. Triangle 2 looks like a rotation of Triangle 1 (right - angled triangle, orientation changed by rotation).
- Option 2: Dilation changes the size proportionally. Triangle 3 does not seem to be a proportional dilation of Triangle 1 (the sides do not seem to be scaled by a constant factor).
- Option 3: Reflection would create a mirror image. Triangle 4 does not look like a reflection of Triangle 1 (it looks more like a smaller version, maybe a dilation or a different transformation).
- Option 4: "Stretched" is not a standard transformation term in the context of rigid transformations or dilations. Dilation is the term for scaling, and stretching is not a defined transformation here. And Triangle 5, if it's a dilation, but the term "stretched" is incorrect.
- Conclusion: The most appropriate statement is that Triangle 1 is rotated to result in triangle 2.
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Triangle 1 is rotated to result in triangle 2.