Question

triangle jkl was dilated using the rule ( d_{m,\frac{1}{3}} ). the image, triangle ( jkl ), is the result of the dilation. what is ( ll )? 5 units 7.5 units 10 units 12.5 units

Explanation:

Step1: Use the dilation formula

The dilation formula is \( ML'=\frac{1}{3}ML \). Let \( ML' = 2.5 \) units. Then \( ML=3\times ML' \).

Step2: Calculate \( ML \)

\( ML = 3\times2.5=7.5 \) units.

Step3: Calculate \( L'L \)

Since \( L'L=ML - ML' \), substitute \( ML = 7.5 \) and \( ML'=2.5 \). Then \( L'L=7.5 - 2.5 \).
\( L'L = 5 \) units.

Answer:

5 units