Question

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

Answer 1

Answer:

Step-by-step 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 = $k^2=\sqrt{ \frac{areaI}{area2} }$

Scale factor = square root of ratio of rectangle areas

Find ratio as

$\frac{375}{135} =\frac{25}{9}$

k = Scale factor = square root of the above fraction

=$\frac{5}{3}$