Question

If triangle ABC defined by the coordinates A(1, 1), B(9, 1), C(1, 9) is dilated by a scale factor of 1/2, with resulting vertex B' at (5, 1), what is the center of the dilation?

A) (0, 0)
B) (1, 1)
C) (-2, -2)
D) (-1, -1)

Answer 1

Answer: B.

Step-by-step explanation: (1, 1)

In this case, the center of dilation is a vertex of the original figure.

The center of dilation is a fixed point in the plane about which all points are expanded or contracted.

Answer 2

the answer to the question is B(1,1)