About Formula For 180 Degree Rotation
Let's start with a definition of 180 degrees rotation before studying the formula. A point in coordinate geometry can be rotated 180 degrees about the origin via an arc of radius equal to the distance between the coordinates of the given point and the origin, subtending an angle of 180 degrees at the origin. The point must be rotated about the origin in relation to its position in the cartesian plane. The following section of the 180-degree rotation formula explains it in detail.
What is the 180-degree rotation formula?
If R(x, y) is a point that needs to be rotated around the origin, then the coordinates of this point after the rotation will be exactly the opposite signs of the original coordinates. After 180 degrees of rotation, the coordinates of the point are:
R'= (-x, -y)
Formula for 180 Degree Rotation Examples
Example: Rotate the following points by 180 degrees: (i) A(3,4)
(ii) B(2,-7)
(iii) C(-5, -1)
Sol: 180-degree rotation of the given points
Given: A(3,4), B(2.-7), C(-5,-1)
Using formula for 180 degree rotation,
R(x,y) ⇒ R'(-x,-y)
(i). A(3,4) ⇒ A’(-3,-4)
(ii). B(2,-7) ⇒ B’(-2,7)
(iii).C(-5,-1) ⇒ C’(5,1)
Answer: A’(-3,-4),B’(-2,7), and C’(5,1) are the 180 degrees rotated points of A(3,4), B(2.-7), and C(-5,-1)
Download pdf of Formula For 180 Degree Rotation
