Question

The smaller triangle is a dilation of the larger triangle with a center of dilation at (2,−1) .

What is the scale factor of the dilation?

A. 1/3
B. 1/2
C. 2
D. 3

Answer 1

B. 1/2

Explanation:

See picture

Answer 2

Option B. 1/2

Explanation:

The smaller triangle is a dilation of the larger triangle with the center of dilation at (2, -1).

we have to calculate the scale factor of the dilation.

One point of the large triangle is (-4, -1). After dilation it has become (-1, -1) of the smaller one.

If we consider the x coordinates of the point x = -4 has reduced down to -1 therefore scale factor = side of small triangle/side of the large triangle = (2 + 1)/(2 + 4) = 3/6 = 1/2

Therefore Option B. 1/2 is the answer.