Question

Pentagon CRAFT has coordinates c(-2,1) r(-5,2) a(-6,7) f(-3,9) and t(-1,6) and is dilated by a scale factor of 2/3 at the origin. What are the coordinates of CRAFT after the dilation?

Answer 1

First, we need to know the formula when a scale factor appears:

New coordinate = (scale factor)*(old coordinate)

So using this formula we have:

1) c' = (-2,1)*2/3

c' = (-4/3,2/3)

2) r = (-5,2)*2/3

r = (-10/3,4/3)

3) a = (-6,7)*2/3

a = (-4,14/3)

4) f = (-3,9)*2/3

f = (-2,6)

5) t = (-1,6)*2/3

t = (-2/3,4)