A dilation maps point Q(1, 2) to its image Q’(2, 4). The completed figure Q’R’S’R’ is on the graph. What is the scale factor? Enter your answer in the box.
never mind
the answer is 2 if anyone needs it.
Figure D’E’F’G’ is a dilation with center (0, 0) of figure DEFG. What is the scale factor? Enter your answer in the box.
To find the scale factor, we can compare the distance between the corresponding points in the original figure and the image.
Let's consider the distance between Q and Q' in the x-direction:
Δx = x' - x
= 2 - 1
= 1
Similarly, let's consider the distance between Q and Q' in the y-direction:
Δy = y' - y
= 4 - 2
= 2
Now, we can calculate the scale factor, which is given by the ratio of the corresponding distances:
scale factor = Δy / Δx
= 2 / 1
= 2
Therefore, the scale factor is 2.
To find the scale factor, we can compare the corresponding coordinates of the original point Q and its image Q'.
We have the coordinates of Q as (1, 2) and Q' as (2, 4).
To find the scale factor, we compare the change in x-coordinates and the change in y-coordinates between Q and Q'.
The change in x-coordinates is 2 - 1 = 1, and the change in y-coordinates is 4 - 2 = 2.
Therefore, the scale factor is the ratio of the change in y-coordinates to the change in x-coordinates. In this case, it is 2/1 = 2.
So, the scale factor is 2.