To determine what type of transformation maps ΔABC to ΔA′B′C′, we need to analyze the relationship between the corresponding vertices of the two triangles.
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Translation: This transformation involves moving the triangle without changing its shape or orientation. Both triangles would remain the same size and shape, just shifted to different positions.
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Reflection: This transformation involves flipping the triangle over a line. If the corresponding vertices of the triangles are symmetrical about a specific line (like the y-axis or x-axis), then a reflection could be the transformation.
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Rotation: This transformation would involve turning the triangle around a certain point. The sizes and shapes of the triangles must remain the same, but the orientation would change.
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No rigid transformation: This means that the triangles cannot be mapped onto each other with any of the transformations mentioned above.
Without the actual image to refer to, it's challenging to make a definitive conclusion. However, if the two triangles are the same shape and size but are in different orientations or flipped over the same axis, then a reflection or a rotation could be possible. If they are shifted without rotation or flipping, a translation would be the answer.
If one triangle is simply a scaled version of the other, then the answer is "no rigid transformation can make this transformation."
Please analyze the position of the two triangles based on the described transformations to choose the correct answer.
22 answers