Question

What is the scale factor of this dilation?

Triangle X Y Z. Side X Y is 10, Z Y is 12, Z X is 8. Triangle X prime Y prime Z prime. Side X prime Y prime is 7.5, Z prime Y prime is 9, Z prime X prime is 6.

One-half

Two-thirds

Three-fourths

Three-halves

Answer 1

C.)Three-fourths

Explanation:

Trust me its correct

Answer 2

Three-fourths

Explanation:

Triangle XYZ

`XY=10\\ZY=12\\ZX=8\\`

Triangle X'Y'Z'

`X'Y'=7.5\\Z'Y'=9\\Z'X'=6`

To find the factor of dilation, we just need to divide the sides of the prime figure with the sides of the original figure.

`(10)/(7.5)= 1.333333333..\\(12)/(9)=1.333333...\\ (8)/(6)=1.3333333....`

Notice that 1.333333.... is equivalent to 4/3, but the factor of dilation is from the smaller figure to the bigger figure. That means it's the opposite: 3/4.

Therefore, the factor of dilation is three-fourths.