Question

mya stated that a line segment that id 6 inches in length with a scale factor of 3 has a dilated length of 9 inches. is she correct? explain your thinking.

Answer 1

The dilation with center B and scale factor 3 increases the length of \overline{AB} and \overline{AC} by a factor of 3. The point B does not move when we apply the dilation but A and C are mapped to points 3 times as far from B on the same line.

Explanation:

Answer 2

Mya is not correct, when using a dilation scale factor of 3, you are supposed to multiply the length by 3, it means

`6\cdot3=18`

The line segment should have dilated to 18 inches not to 9 inches