Under a dilation, triangle XYZ where X(6, 3), Y(-2, 4), and Z(10, -2) becomes triangle X’Y’Z’ where X’(12, 6), Y’(-4, 8), and Z’(20, -4). What is the scale factor for this dilation?

Question

anonymous · Answer

now you are making me think

anonymous · Answer

Good! I think? In this case I guess it's a hard question!

anonymous · Answer

the distance between $(6,3)$ and $(-2,4)$ is $\sqrt{65}$

anonymous · Answer

and lo and  behold, the distance between $ (12, 6), (-4, 8)$ is $2\sqrt{65}$ !

anonymous · Answer

guess the "scale factor" is $2$

anonymous · Answer

Hm, great effort, but that's not a given answer.

anonymous · Answer

Oh okay!

anonymous · Answer

lol another "given answer"

anonymous · Answer

Yess, okay this one is very similar...

Triangle ABC is located at A(-4,5), B (-4, -1), and C(-1,1). A translation of the triangle is located at A’(-7, 3), B’(-7, -3), and C’(-4, -1). How is the triangle translated?

anonymous · Answer

@mathmale

anonymous · Answer

@satellite73

mathmale · Answer

I'd strongly suggest that you draw both triangles.  Then choose any one side of one triangle and determine the length of the corresponding side in the other triangle.  What is the scale factor involved?

anonymous · Answer

It's translated 3 units left and 2 units down. :D