Question

dilating a shape by a factor of 2 will do what to its size?
a. halve the size
b. triple the size
c. keep the same size
d. double the size

Explanation:

Dilation in geometry involves resizing a shape. A dilation factor of 2 means each linear dimension (like length, width) of the shape is multiplied by 2. So the size (in terms of linear measurements, and for area/volume it scales by the square/cube of the factor) is doubled. Option a is incorrect (halving would be a factor of 1/2), option b is incorrect (triple would be a factor of 3), option c is incorrect (same size is a factor of 1). So the correct option is d.

Answer:

d. Double the size