Question

What scale factor is applied to shape B to make shape A

(A) 8 , 6 , 2 , 2
(B) 12, 9 , 3 , 3

Answer 1

Scale factor of (k) =3/2 is applied here.

Explanation:

Given:

Points:

(A) 8 , 6 , 2 , 2

(B) 12, 9 , 3 , 3

We have to find scale factor applied to shape (B).

Scale factor is the ratio of length or two numbers to which if we multiply the number result will be same.

Here B values are
`12,9...` will be considered as numerators.

and

A values are
`8,6...` which are denominators.

Scale factor = ratio of the numbers = numerator divided by the denominator

So,

Scale factor ,(k)=?

⇒
`(k)=(12)/(8)`

Reducing to the simplest number.

Divide with 4 to both the numbers.

⇒
`k=(12/4)/(8/4)= (3)/(2)`

So the scale factor applied to shape B to make it similar to shape A is 3/2.