A triangle is dilated using a scale factor of 3. The image is then dilated using a scale factor of 1/2. What scale factor can you use to dilate the original triangle to obtain the final image? Explain.

Sylvia Macias

Sylvia Macias

Answered question

2022-12-29

A triangle is dilated using a scale factor of 3. The image is then dilated using a scale factor of 12. What scale factor can you use to dilate the original triangle to obtain the final image?

Answer & Explanation

taulejadacnf

taulejadacnf

Beginner2022-12-30Added 10 answers

Check the original triangle's scale factor of dilation.
As we have given,
First scale factor of triangle, S1=3
Second scale factor of triangle, S2=12
As we know that the final scale factor, S=S1×S2
So, final scale factor, S=3×12=32
Consequently, the final scale factor will be the product of the first and second dilation scale factors, while the initial scale factor 32.

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