Under a dilation, triangle XYZ where X(4, 7), Y(-3, 8), and Z(-2, -1) becomes triangle X’Y’Z’ where X’(12, 21), Y’(-9, 24), and Z’(-6,-3). What is the scale factor for this dilation?
A. one-third
B. negative one-third
C. -3
D. 3

Question

Under a dilation, triangle XYZ where X(4, 7), Y(-3, 8), and Z(-2, -1) becomes triangle X’Y’Z’ where X’(12, 21), Y’(-9, 24), and Z’(-6,-3). What is the scale factor for this dilation?
	A.	one-third
	B.	negative one-third
	C.	-3
	D.	3

iesmee · Answer

@gypsy1274

anonymous · Answer

Sorry, but you are getting into details that I just don't remember. I'd love to help you, but I haven't gotten that far in my math review yet.

iesmee · Answer

its ok thanks anyways c:

iesmee · Answer

@satellite73

iesmee · Answer

@agent0smith

agent0smith · Answer

Use the distance formula to find the length of a side of the original triangle.

Use the distance formula again to find the length of the same side of the dilated triangle.

Divide the second distance by the first.

iesmee · Answer

thanks for the help but it's done thanks anyways! c:

anonymous · Answer

@agent0smith Thank you, that was easier than I expected.