Question

triangle def is shown below. what is the coordinate of d if triangle def is created by dilating def with a scale factor of 0.5 about the origin?

a. d = (0, 1.5)
b. d = (1.5, 0)
c. d = (6, 0)
d. d = (0, 3)

Explanation:

Step1: Find coordinate of D

From the graph, D is on the x-axis at (3, 0).

Step2: Apply dilation factor 0.5

Multiply each coordinate by 0.5: $x' = 3×0.5 = 1.5$, $y' = 0×0.5 = 0$.

Answer:

b. D' = (1.5, 0)