Question

Triangle J'K'L' shown on the grid below is a dilation of triangle JKL using the origin as the center of dilation:

Two triangles on a grid. First triangle has vertices J 4 and 6, K 2 and 4, and L 6 and 3. Image triangle has vertices J prime 8 and 12, K prime 4 and 8, L prime 12 and 6.

Which scale factor was used to create triangle J'K'L'?

Answer 1

J (4, 6)
J' (8, 12)

What scale factor was used to go from 4 to 8?
What do you have to multiply 4 by to get 8?

Similarly for 6 to 12? What's the scale factor?
Hint: it should be the same as earlier because we multiply the x and y-coordinate by the same scale factor

Answer 2

And you should notice that this same scale factor is present when you compare K and K'

K (2, 4)
K' (4, 8)

2 * ?? = 4
4 * ?? = 8

That's how you can just confirm that it's the scale factor when the points of the new triangle are multiplied by the same number of the old triangle's points

Answer 3

Let me know if you understood that or if you want me to clarify more or explain it a different way! Also, welcome to QuestionCove!!