Answer:
Explanation:
Dilation is the process of resizing or transforming the original image around a given point
This means every point on the original image is scaled by the scale factor to produce a new image
The original image is called pre-image and the transformed image is called image
Positive scale factors produce an expansion, negative scale factors produce a compression
Here we are given a point P around which the dilation is to take place with a scale factor of 2
Let's look at each of the points A, B , C and D and their relative horizontal and vertical distances from P
A is 1 unit left of P and 2 units up from P
A' is the point when dilated. A' will be 2 units left of P and 4 units up from P.
B is 5 units to the right of P and 2 units up from P.
So B' will be 10 units right of P and 4 units up from P
C is 5 units left of P and 2 units down from P
C' will be 10 units left of P and 4 units down from P
D is 1 unit right of P and 2 units down from P
D' will be 2 units right of P and 4 units down from P
This is best explained by a graph which I have attached
I have also marked the 4 points A', B', C' D' and drawn the resulting rectangular image for your understanding
Hope that helps :)