Question

Line segment XY has a length of 3.2 cm and is dilated with a scale factor of 4 to line segment

X'Y'. What is the length of line segment X'Y'?

Answer 1

The length of line segment XY is 3.2 cm and is dilated with a scale factor of 4 to line segment X'Y'. The length of line segment X'Y' is 12.8 cm.

Step-by-step explanation:

To find the length of line segment X'Y', we can use the proportion method.

Let's set up a proportion using the given information:

X'Y'/XY = Scale factor

Substituting the values:

X'Y'/3.2 = 4

Cross-multiplying:

X'Y' = 3.2 * 4 = 12.8 cm

Therefore, the length of line segment X'Y' is 12.8 cm.