Question

If you want to dilate a square with a side of sixty units to create a square with a side of eighteen units , what scale factor should you use

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the scale factor, we can use the ratio of the corresponding side lengths of the two squares.

The given square has a side length of 60 units, and the desired square has a side length of 18 units.

Using the formula for scale factor:
Scale factor = Desired side length / Given side length

Scale factor = 18 / 60
Scale factor = 0.3

Therefore, the scale factor to dilate the square from a side length of 60 units to a side length of 18 units is 0.3 or 3/10.

Answer 2

If you dilate a circle of radius , 2mm with a scale factor of 50 , what will be the radius of the divated circle?

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the radius of the dilated circle, we can multiply the given radius by the scale factor.

Given radius: 2 mm
Scale factor: 50

Dilated radius = Given radius * Scale factor
Dilated radius = 2 mm * 50
Dilated radius = 100 mm

Therefore, the radius of the dilated circle will be 100 mm.