Square ABCD was dilated to form square A’B’C’D’. What scale factor was used?
3/5
To determine the scale factor used in a dilation, we can compare the corresponding side lengths of the original square ABCD and the dilated square A'B'C'D'.
Let's denote the side length of the original square ABCD as 's' and the side length of the dilated square A'B'C'D' as 's'.
In a dilation, corresponding side lengths are multiplied by the same scale factor. So, if the scale factor is 'k', we have the following relationship:
s' = k * s
Given that square ABCD was dilated to form square A'B'C'D', and the corresponding side lengths are the same, we can set up the following equation:
s' = s
Substituting the equation for s' in terms of k and s, we get:
k * s = s
Since s is non-zero, we can cancel it out from both sides of the equation:
k = 1
Therefore, the scale factor used in this dilation is 1. This means that there was no change in the size of the square; it remains the same size after the dilation.
no idea.
But you can tell by dividing the new side length by the old side length
If only the area is given, the scale factor is the square root of the ratio.