Question

Segment AB with length 2.4 cm is dilated with a scale factor of 3. What is the new length of segment AB?

A. 0.8 cm
B. 2.4 cm
C. 5.4 cm
D. 7.2 cm

Answer 1

The new length of segment AB after a dilation with a scale factor of 3 is 7.2 cm.

Step-by-step explanation:

The original length of segment AB is given as 2.4 cm.

The scale factor for the dilation is 3.

To find the new length after dilation, you multiply the original length by the scale factor:

New length = Original length × Scale factor

New length=Original length × Scale factor

Substitute the given values:

New length=2.4cm×3

New length=7.2cm

So, when segment AB is dilated with a scale factor of 3, the new length becomes 7.2 cm.

Therefore, the correct answer is:

D. 7.2 cm

Answer 2

2.4/3 is 0.8 so 0.8 centimeters is the final answer.