Question

I need help with this problem (show work too please)
The dashed triangle is a dilation image of the solid triangle with the center at the origin. Is the dilation an enlargement or a reduction? Find the scale factor of the dilation.

Answer 1

I know it is a reduction but how do i find the scale factor?

Answer 2

pick any point on the original solid triangle

Answer 3

which point did you pick?

Answer 4

um, point -6, 0

Answer 5

now locate the corresponding point on the dashed triangle

Answer 6

this corresponding point will lie on the line that goes through (0,0) and P

where P is the point you picked

Answer 7

-2, 0

Answer 8

now divide the corresponding coordinates (second over first)

-2/(-6) = 1/3

we would do 0/0, but that's not possible...so just ignore it for now

Answer 9

this means that the scale factor is 1/3

Answer 10

basically what you've done is multiply every coordinate (of every point on the solid triangle) by 1/3 to get points on the dashed triangle

Answer 11

ok is that it? it seems too easy to be true

Answer 12

that's all there is to it

Answer 13

wow thanks :D

Answer 14

yw