If a two-dimensional shape is dilated by a factor of 13 , what is the effect on the area?
Responses
A: It is 1/3 as great.
B: It is 1/6 as great.
C: It is 2/3 as great.
D: It is 1/9 as great.
The correct answer is D: It is 1/9 as great.
When a two-dimensional shape is dilated by a factor of 13, the area of the shape is multiplied by the square of the dilation factor. In this case, the area is multiplied by (13)^2 = 169.
Therefore, the area of the dilated shape is 1/169 times the area of the original shape. This means that the area is 1/9 as great as the original area.