Question

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

Answer 1

EXPLANATION

We have that ΔJKL is similar to ΔXYZ.

The corresponding sides will therefore

be in the same proportion.

This implies that,

`(XY)/(JK) = (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:

`(9)/(6) = (x)/(8)`

Multiply both sides by 8

`(9)/(6) * 8=(x)/(8) * 8`

`12 = x`

The correct answer is B.

Answer 2

Answer: 12

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