129k views
1 vote
Dilate the figure below by a factor of half the respect to the origin

Dilate the figure below by a factor of half the respect to the origin-example-1

1 Answer

5 votes

Solution

- The original image has the following coordinates


\begin{gathered} A(0,3) \\ B(3,3) \\ C(3,0) \\ D(0,0) \end{gathered}

- In order to dilate the figure by a factor of 1/2 with respect to the origin, we simply need to multiply each coordinate point by 1/2.

- This is done below:


\begin{gathered} A(0,3)\to A^(\prime)(0,(3)/(2)) \\ B(3,3)\to B^(\prime)((3)/(2),(3)/(2)) \\ C(3,0)\to C^(\prime)((3)/(2),0) \\ D(0,0)\to D^(\prime)(0,0) \end{gathered}

- We can plot the points of the original and dilated image as follows.

- The original image is shown below:

- The dilated image is:

- An image with both figures is given below for a better perspective

Dilate the figure below by a factor of half the respect to the origin-example-1
Dilate the figure below by a factor of half the respect to the origin-example-2
Dilate the figure below by a factor of half the respect to the origin-example-3
User Babra Cunningham
by
7.5k 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