I think the answer is C hope this helps.
The correct option is (A) A dilation factor of 2.
Step-by-step explanation: We are shown two similar polygons in the figure.
We are to select the transformation that was performed on PQRS to form P'Q'R'S'.
We can see clearly from the figure that two polygons have same shape but different sizes.
So, the only transformation possible from PQRS to P'Q'R'S' is dilation.
To find the dilation factor, we need the lengths of any two corresponding sides of PQRS and P'Q'R'S'.
From the graph, we note that
PQ = 2 units and P'Q' = 4 units.
Therefore, the dilation factor is given by
Thus, the required transformation is a dilation with dilation factor of 2.
Option (A) is CORRECT.
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.
a dilation of 2 fasho.
The correct answer is C = A dilation factor of 1 over 2.
PQRS is 4 units long, and P'Q'R'S is 2 units long which is 1/2 of PQRS. This means it is a dilation factor of 1/2 or 1 over 2.
a dilation factor of 2