Question

Various dilations of square a are shown. Which square was obtained by dilating square a by the scale factor of 3

Answer 1

I can't read the letters I the picture but it would be whichever square has sides that are 6 units long. This is because square a has sides that are 2 units long and dilating by 3 increases the square's size. 2×3= 6

Answer 2

The square E is obtained by dilating square A by the scale factor of 3.

Explanation:

We are given that,

The square 'A' is dilated by the scale factor of 3.

'Dilation changes the size of the figure according to the scale factor'.

We have that the scale factor for the given dilation is 3.

That is, the new figure is an enlargement of square A.

So, option C and D are discarded.

So, the ratio of the sides of the square A and dilated square must be equal to 1 : 3.

In square B, the ratio of sides =
`(2)/(4)=frac{1}{2}`

In square E, the ratio of sides =
`(2)/(6)=(1)/(3)`

So, we see that,

The square E is obtained by dilating square A by the scale factor of 3.