Question

Triangle RST has the coordinates R(1, 1), S(3, 8), and T(5, 1). Which of the following sets of points represents a dilation from the origin of triangle RST?

A.
R’(3, 1), S’(3, 24), T’(15, 1)
B.
R’(4, 4), S’(6, 11), T’(8, 4)
C.
R’(3, 1), S’(9, 8), T’(15, 1)
D.
R’(3, 3), S’(9, 24), T’(15, 3)

Answer 1

Dilation from the origin is equivalent to multiplying all coordinates by some number.  D is the only one that satisfies this, as you can see that all coordinates are multiplied by 3 to create this set of points.