Question

triangle mnp is dilated according to the rule $d_{o,1.5} (x,y) \to (1.5x, 1.5y)$ to create the image triangle mnp, which is not shown.
what are the coordinates of the endpoints of segment mn?
\\( \bigcirc \\) m(-6, 9) and n(4, 9)
\\( \bigcirc \\) m(-6, 9) and n(3, 9)
\\( \bigcirc \\) m(-2, 3) and n(7, 9)
\\( \bigcirc \\) m(-2, 3) and n(1, 3)

Explanation:

Step1: Identify original coordinates

From the graph: M(-4,6), N(2,6)

Step2: Apply dilation rule

Multiply each coordinate by 1.5:
$M' = (-4×1.5, 6×1.5) = (-6,9)$
$N' = (2×1.5, 6×1.5) = (3,9)$

Answer:

B. M'(-6, 9) and N'(3, 9)