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Question
which transformations would place triangle a on top of triangle c? select each correct answer. reflection translation 180° rotation dilation 90° rotation
Brief Explanations
To determine the transformations that place triangle A on triangle C, we analyze each option:
- Reflection: A reflection (flip) over an axis can map triangle A to C if they are mirror images.
- Translation: A translation (slide) moves a figure without rotation/reflection; if A and C are congruent and aligned, translation can work.
- 180° rotation: Rotating 180° can map A to C if their positions are opposite (like center - point symmetry).
- Dilation: Changes size, so it can’t map A to C (they should be congruent for placement, so dilation is incorrect).
- 90° rotation: A 90° rotation would change orientation in a way that doesn’t align A with C (unlike 180° or reflection/translation in typical cases).
So the correct transformations are reflection, translation, and 180° rotation.
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- reflection
- translation
- 180° rotation