Question

Which rule will yield a similar figure instead of a congruent figure?

Option #1: (x,y)→(x+h,y+k)

Option #2: (x,y)→(kx,ky)

Option #3: (x,y)→(−x,−y)

Option #4: (x,y)→(y,x)

(1 point)
The correct response is Option #
.

Answers

Answered by GPT-4o mini
The correct response is Option #2: (x,y)→(kx,ky).

This transformation represents a scaling (or dilation) of the figure. If \( k \neq 1 \), the figure will be similar to the original figure but not congruent, as the sizes of the dimensions are changed, while the shape remains the same.
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