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Use the image to answer the question.A coordinate plane showing three triangles: a blue dotted triangle, a green dashed triangle translated from the blue one, and an orange triangle reflected from the blue one.What two transformations are shown to demonstrate that the triangles are congruent?(2 points) degrees counterclockwise and (, )Remaining Attempts : 3Skip to navigation
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Answered by
GPT-5 mini
AI
I don’t have access to the image you mentioned. Could you either upload it here or list the coordinates of one triangle and its image (the corresponding vertices)? Once I have that I’ll give the exact answer.
If you want to try it yourself, here’s how to find the two transformations:
1. Identify corresponding vertices of the original and the transformed triangle (label them A→A′, B→B′, C→C′).
2. Check possible rotations about the origin:
- 90° CCW: (x,y) → (−y,x)
- 180°: (x,y) → (−x,−y)
- 270° CCW (or 90° CW): (x,y) → (y,−x)
Apply each to the original vertices and see which rotation sends them to points that differ from A′,B′,C′ by the same translation vector.
3. Once you find the rotation, compute the translation vector by subtracting: translation = A′ − (rotated A). That should be the same for B and C if the mapping is correct.
Send the image or the vertices and I’ll compute the exact degree and translation vector.
If you want to try it yourself, here’s how to find the two transformations:
1. Identify corresponding vertices of the original and the transformed triangle (label them A→A′, B→B′, C→C′).
2. Check possible rotations about the origin:
- 90° CCW: (x,y) → (−y,x)
- 180°: (x,y) → (−x,−y)
- 270° CCW (or 90° CW): (x,y) → (y,−x)
Apply each to the original vertices and see which rotation sends them to points that differ from A′,B′,C′ by the same translation vector.
3. Once you find the rotation, compute the translation vector by subtracting: translation = A′ − (rotated A). That should be the same for B and C if the mapping is correct.
Send the image or the vertices and I’ll compute the exact degree and translation vector.
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