Question

What is the scale factor of the dilation (with center at the origin) if point E (5, 3) becomes E' (15, 9)?

Answer 1

Answer:

The scale factor is 3.

Step-by-step explanation:

Let the scale factor be x

The center of the dilation is origin (0,0) and the point E (5,3) becomes E'(15,9)

Dilation involves multiplication. Hence, when we multiply 3 with 5 then we will get 15 and also when 3 multiplied by 3 the result is 9.

This, when we multiply the coordinates of E by 3, we get the coordinates of E'.

Therefore, the scale factor is 3.