We are asked to check if the image shown is a dilation of ABCD. Note that for the image to be the dilated image of ABCD, the ratio between the corresponding sides of ABCD and the image should be constant. Let's first name the vertices of the image. Then, we will measure the corresponding sides and find the ratio.
We see that EH=3.8 cm and AD = 1.9 cm. We can calculate the ratio of these two lengths.
3.8/1.9=2
Now, we are going to measure the short sides of the rectangles.
We see that FE=1.9 cm and AB = 1.3 cm. Here is their ratio.
1.9/1.3 ≈ 1.46
Notice that this ratio is different from the ratio of the longer sides.
Since the corresponding parts of the rectangles are not proportional, the image can not be a dilation of ABCD.
