Question

If triangle RED has vertices R(0,0) E(-3,4) and D(4,6), which of the following coordinates is E' of the dilation using the scale factor 0.5?

A. E' (-1.5, 0.5)
B. E' (2, -1.5)
C. E' (-1.5, 2)

Answer 1

The coordinates of point E are
x = -3
y = 4

Multiply each coordinate by the scale factor k = 0.5
k*x = 0.5*(-3) = -1.5
k*y = 0.5*4 = 2

The new point is now (-1.5, 2) which is the location of point E'
Answer: Choice C

Side note: this is implying that the center of dilation is the origin (0,0)