Smaller polygon upper A upper B upper C upper D is graphed within larger polygon upper A prime upper B prime upper C prime upper D prime on a coordinate plane.
In the image, polygon ABCD is dilated to form polygon A′B′C′D′ with respect to the origin. What is the magnitude of dilation?
(1 point)
Responses
12
Start Fraction 1 over 2 End Fraction
1
1
3
3
2
2
To find the magnitude of the dilation, we need to compare the corresponding side lengths of the smaller and larger polygons.
From the graph, we can see that the side AB of the smaller polygon corresponds to side A'B' of the larger polygon. Similarly, side BC corresponds to side B'C', side CD corresponds to side C'D', and side DA corresponds to side D'A'.
By comparing the lengths of the corresponding sides, we can determine the magnitude of the dilation.
From the graph, we can see that AB is half the length of A'B'.
Therefore, the magnitude of the dilation is 1/2.
Answer: 1/2