Question

triangle mnp is graphed on a coordinate plane. the triangle is dilated with the origin as the center of dilation to create triangle mnp. the table shows the coordinates of the original vertices and the corresponding coordinates of the new vertices after the dilation is applied.
vertices of △mnp\tvertices of △mnp
(-4,6)\t(-10,15)
(2,6)\t(5,15)
(-4,-2)\t(-10,-5)
which rule represents the dilation that was applied to triangle mnp to create triangle mnp?
(x,y)→(6x,6y)
(x,y)→(2/5 x,2/5 y)
(x,y)→(1/6 x,1/6 y)
(x,y)→(2.5x,2.5y)
clear all

Explanation:

Step1: Check dilation ratio for x - coordinate

For point (-4,6) to (-10,15), -10/-4 = 2.5.

Step2: Check dilation ratio for y - coordinate

For point (-4,6) to (-10,15), 15/6 = 2.5.

Answer:

$(x,y)\to(2.5x,2.5y)$