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A composition of transformations maps ΔKLM to ΔK"L"M".

Triangle KLM is rotated 270 degrees about point P to form Triangle K'L'M'. Triangle K'L'M' is shifted down and to the right to form Triangle K"L"M".

The first transformation for this composition is [________], and the second transformation is a translation down and to the right.

A. a 90° rotation about point L
B. a 270° rotation about point L
C. a 90° rotation about point P
D. a 270° rotation about point P

Answer :

The blank space in the task content should be filled with; a 270° rotation about point P.

What transformation is first to effect the image formation?

It follows from the transformation described in the task content that; Triangle KLM from which triangle K'L'M' is rotated 270 degrees about point P and then translated down and to the right.

It therefore follows from observation. that the first transformation is; a 270° rotation about point P.

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Rewritten by : Barada

The first transformation for the composition that maps ΔKLM to ΔK"L"M" is a 270° rotation about point P, and the correct answer is "270° rotation about point P".

The student has described a two-step transformation process in which a triangle, ΔKLM, undergoes transformations to become ΔK"L"M". The first transformation is a rotation of 270 degrees about point P, resulting in ΔK'L'M'. Then, there's a second transformation which is a translation down and to the right to obtain the final triangle ΔK"L"M". Therefore, the correct answer to the question is "270° rotation about point P".