Rotate 90 Degrees Clockwise or 270 Degrees Counterclockwise About the Origin
We talked about 90 degrees counterclockwise rotation, and now we are going to learn 90 Degrees Clockwise Rotation today that is the same as 270 Degrees Counterwise Rotation. Let me quote this here.
There is no difference between 90-degree Clockwise Rotation and 270-degree counter clockwise rotation. The are the same thing and you will use the same formula (that is mentioned below).
What is the formula for 90 Degrees Clockwise Rotation About The Origin?
(x, y) —> (y, -x)
| Before Rotation | After Rotation |
| (x, y) | (y,-x) |
Explanation: The value of x will be changed with the value of y and the value of y will be changed with Value of x and this x will be negated.
Let’s have a look at the below example to understand this in a proper way.
For example:
Question: Rotate 90 degrees clockwise about the origin A(-5,6), B(3,7), and C(2,1)
Answer: As we mentioned the Formula earlier (x, y) —> (y, -x). The result after the 90 degrees clockwise rotation will be as follows:
- A(-5,6) –> A'(6,5)
You will show x as 6 and y as 5 in the graph after the clockwise rotation (Check the graph above)
- B(3,7) –> B'(7,-3)
You will show x as 7 and y as -3 in the graph after the clockwise rotation (Check the graph above)
- C(2,1) –> C'(1,-2)
You will show x as 1 and y as -2 in the graph after the clockwise rotation (Check the graph above)
I hope that makes things clear.
Another Example of 90 Degrees Clockwise Rotation on the Graph
Explanation: As you can see in the image above. The gray colored values are the origin of the points and the values in the red color have been plotted after 90 degrees rotation.
So whatever the value is you can always use the formula to solve the problems of all 90 degrees rotations. To draw a graph, you should always put a point first, and after putting all points, draw the graph/line.
