Question

What is the scale factor for pre-image IJKH to image MNOL?

Answer 1

Explanation:

Given are two rectangles MNOL and IJKH

MNOL is the image and IJKH is the preimage.

OBviously similarity is preserved between these.

Hence sides will be proportional

i.e. l1/l2 = w1/w2 = Scale factor k

This can also be written as

Scale factor square =
`k^2=\sqrt{ (areaI)/(area2) }`

Scale factor = square root of ratio of rectangle areas

Find ratio as

`(375)/(135) =(25)/(9)`

k = Scale factor = square root of the above fraction

=
`(5)/(3)`