Question

1.

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 ?
d.Scale factor s?​

Answer 1

Part a)
`AB=15\ cm`

Part b)
`AB=11.1\ cm`

Part c)
`AB=3/5\ cm`

Part d)
`AB=3s\ cm`

Explanation:

see the attached figure to better understand the question

we know that

To find the length of the image after a dilation, multiply the length of the pre-image by the scale factor

Part a) we have

The scale factor is 5

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

`3(5)=15\ cm`

Part b) we have

The scale factor is 3.7

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

`3(3.7)=11.1\ cm`

Part c) we have

The scale factor is 1/5

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

`3(1/5)=3/5\ cm`

Part d) we have

The scale factor is s

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

`3(s)=3s\ cm`