Undergrad Finding the change in position and angle after moving the rectangle

[junseok Lee]

TL;DR

Finding the change in position and angle after moving the rectangle

I am curious about how to approach the problem mathematically, so I write.

There are 4 dots on the square and I know the location.

The rectangle moves and the positions and angles of the four points change.

I also know the location of the four points that have changed.

I don't know the changed angle.

How can I find the angle and value to move to the initial position?

I would like to know the calculation of the angle and position values required for the rectangle to return to its original position.

Please advise.

 

[jedishrfu]

Can you provide some context for this question?

Is this for a video game or web page image transformation?

 

[junseok Lee]

Can you provide some context for this question?

Is this for a video game or web page image transformation?

I want to correct the position by checking the position of the tray with the camera.

 

[mfb]

Draw a line between X1,Y1 and X2,Y2. Draw the line between the same points of the moved rectangle. Find the angle between the two lines. This is very simple with vectors.

The change in position depends on how and when you do the rotation.

 

[junseok Lee]

Draw a line between X1,Y1 and X2,Y2. Draw the line between the same points of the moved rectangle. Find the angle between the two lines. This is very simple with vectors.

The change in position depends on how and when you do the rotation.

Thanks for your help.
Thanks to you, I was able to solve it simply.