Question

Segment AB measures 3 cm. Point O is the center of dilation. How long is the image of AB after a dilation with?

A. Scale factor 5? _____

B. Scale factor 3.7? ____

C. Scale factor 1/5?____

D. Scale factor s? _____

Fill in the Blank.

Answer 1

To find the length of the image after a dilation with different scale factors

Step-by-step explanation:

In a dilation, the image of a segment is formed by multiplying the lengths of the segment by the scale factor.

So, to find the length of the image after a dilation with a scale factor of 5, we will multiply the length of AB (3 cm) by 5. The image will be 15 cm long.

Similarly, for a scale factor of 3.7, the image will be 3.7 times the length of AB. So, the image will be 11.1 cm long.

For a scale factor of 1/5, the image will be 1/5 times the length of AB. So, the image will be 0.6 cm long.

For a scale factor of s, the length of the image cannot be determined without knowing the value of s.

Answer 2

A.= 8 cm

B.= 6.3 cm

I didn't figure out C

D.= 3s cm

Step-by-step explanation: