Question

Given ΔJKL : ΔXYZ, find x.
A)10
B)12
C)16
D)20

Answer 1

Answer: 12

Step-by-step explanation:

Triangle JKL is dilated by a scale factor of 1.5 to get triangle XYZ. You can find this out by dividing 9 by 6, which will give you 1.5. To get the answer, you multiply 8 by 1.5 to get 12

Answer 2

ANSWER

EXPLANATION

We have that ΔJKL is similar to ΔXYZ.

The corresponding sides will therefore

be in the same proportion.

This implies that,

$\frac{XY}{JK} = \frac{YZ}{KL}$

From the diagram,XY=9, JK=6, KL=8, and YZ=x.

We plug in the known values into the formula to get:

$\frac{9}{6} = \frac{x}{8}$

Multiply both sides by 8

$\frac{9}{6} \times 8=\frac{x}{8} \times 8$

$12 = x$

The correct answer is B.