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

Answer:

Three-fourths

Step-by-step 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.

$\frac{10}{7.5}= 1.333333333..\\\frac{12}{9}=1.333333...\\ \frac{8}{6}=1.3333333....$

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.

Answer 2

Answer:

C.)Three-fourths

Step-by-step explanation:

Trust me its correct