Question

Subject Congruent Shapes. (please help asap)
Problem 1

Answer 1

`\qquad \qquad\huge \underline{\boxed{\sf Answer}}`

The Length of PQ such that Triangle JKL is similar to Triangle PQR ~

To make the given triangles similar, we have to get the ratios of each of their corresponding side to be equal to one another.

That is :

`\qquad \sf  \dashrightarrow \: (PQ)/(12) = (9)/(6)`

`\qquad \sf  \dashrightarrow \: PQ = (9)/(6) * 12`

`\qquad \sf  \dashrightarrow \: PQ = {9}{} * 2`

`\qquad \sf  \dashrightarrow \: PQ = 18 \: units`

hence, the option C is correct