Figure 1 is dilated to get Figure 2.

What is the scale factor?

Enter your answer, in simplest form, in the box.

Two diamonds with the same shape but different sizes. One diamond has a side measured at 10 units and is labeled figure 1. The other diamond has the corresponding side measured at 24 units and is labeled figure 2.

Respuesta :

I'm pretty sure it's 5 over 10! Hope I helped =)

Given two diamonds with same shape but different sizes.

The side given of one diamond = 10 units.

And the corresponding side of the other diamond = 24 units.

To find the scale factor of them, we need to find the ratio of the sides.

So here scale factor = [tex] 10:24 [/tex] = [tex] \frac{10}{24} [/tex]

Now we have to simplify the fraction. We can simplify it by dividing the numerator and denominator by a common factor of it.

The common factor of 10 and 24 is 2. If we divide 10 by 2, we will get 5 and if we divide 24 by 2, we will get 12.

So we will get,

[tex] \frac{10}{24} = \frac{5}{12} [/tex]

We have got the required answer.

The scale factor is [tex] \frac{5}{12} [/tex].