161k views
3 votes
Please help and explain thank you! Grade level - 8th!

Please help and explain thank you! Grade level - 8th!-example-1
User Top Sekret
by
8.7k points

1 Answer

5 votes

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 :)

Please help and explain thank you! Grade level - 8th!-example-1
Please help and explain thank you! Grade level - 8th!-example-2
User Milan Cermak
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories