Two similar polygons are shown below:
which set of transformations was performed on pqrs to form p′q′r′s′?
a dilation factor of 2
a dilation factor of 1 over 3
a dilation factor of 1 over 2
a dilation factor of 3

 The correct set of transformations is (B) A dilation factor of 1 over 3.

Step-by-step explanation:  We are given to similar polygons PQRS and P'Q'R'S'.

We are to select the correct set of transformations that was performed on the polygon PQRS to form P'Q'R'S'.

Since the two polygons PQRS and P'Q'R'S' are similar, so there will be a dilation with a dilation (scale) factor.

We need to find the dilation factor of the dilation.

In P'Q'R'S', the length of a side is given by

P'Q' = 2 units,

and the length of the corresponding side in PQRS is given by

PQ = 2 units.

Therefore, the dilation factor of dilation is

Thus, there will be a dilation with a dilation factor of

Option (B) is correct.

step-by-step explanation:

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1