Question

the tables show the ordered pairs that represent the vertices of
the tables show the ordered pairs that represent the vertices of
triangle 1 and its image, triangle 2, after a dilation with the origin as
the center of dilation.

which rule best represents the dilation that was applied to triangle 1
to create triangle 2?
(x, y) → (0.2x, 0.2y)
(x, y) → (5x, 5y)
(x, y) → (8x, 8y)
(x, y) → (10x, 10y)
a
b
c
d

Explanation:

Step1: Calculate scale factor for x-coordinate

Take first vertex: $\frac{10}{2} = 5$

Step2: Verify scale factor for y-coordinate

Take first vertex: $\frac{-10}{-2} = 5$

Step3: Check another vertex (x)

Second vertex: $\frac{15}{3} = 5$

Step4: Check another vertex (y)

Second vertex: $\frac{-30}{-6} = 5$

Answer:

B. (x, y) → (5x, 5y)