Question

Triangle JKL is the preimage. Write two algebraic representations, one for the dilation to triangle J'K'L' and one for the dilation to triangle J''K''L''. A) J'K'L' = k∙JKL, J''K''L'' = 2∙JKL B) J'K'L' = 0.5∙JKL, J''K''L'' = 2∙JKL C) J'K'L' = 2∙JKL, J''K''L'' = 0.5∙JKL D) J'K'L' = k∙JKL, J''K''L'' = 0.5∙JKL

Answer 1

The algebraic representations for the dilations of triangle J'K'L' and J''K''L'' from triangle JKL are J'K'L' = k∙JKL and J''K''L'' = 2∙JKL respectively.

Step-by-step explanation:

To find the algebraic representations for the dilations of triangle J'K'L' and triangle J''K''L'' from triangle JKL, we need to determine the scale factor of each dilation.

Let's say the scale factor for J'K'L' is k, and the scale factor for J''K''L'' is 2. The algebraic representations for the dilations would be:

J'K'L' = k∙JKL

J''K''L'' = 2∙JKL

Therefore, the correct answer is A) J'K'L' = k∙JKL, J''K''L'' = 2∙JKL.

Learn more about Algebraic representations of dilations