In step 1, we have to apply the rule of 90 Degree Clockwise Rotation about the Origin Now, we will solve this closed figure when it rotates in a 90° clockwise direction, If this figure is rotated 90° about the origin in a clockwise direction, find the vertices of the rotated figure. Let P (-6, 3), Q (9, 6), R (2, 7) S (3, 8) be the vertices of a closed figure. (iii) The current position of point C (-2, 8) will change into C’ (8, 2) (ii) The current position of point B (-8, -9) will change into B’ (-9, 8) (i) The current position of point A (4, 7) will change into A’ (7, -4) When the point rotated through 90º about the origin in the clockwise direction, then the new place of the above coordinates are as follows: Solve the given coordinates of the points obtained on rotating the point through a 90° clockwise direction? When the object is rotating towards 90° anticlockwise then the given point will change from (x,y) to (-y,x).When the object is rotating towards 90° clockwise then the given point will change from (x,y) to (y,-x).Rule of 90 Degree Rotation about the Origin In short, switch x and y and make x negative. If a point is rotating 90 degrees clockwise about the origin our point M(x,y) becomes M'(y,-x). So, Let’s get into this article! 90 Degree Clockwise Rotation Here, in this article, we are going to discuss the 90 Degree Clockwise Rotation like definition, rule, how it works, and some solved examples. 90° and 180° are the most common rotation angles whereas 270° turns about the origin occasionally. However, Rotations can work in both directions ie., Clockwise and Anticlockwise or Counterclockwise. If we talk about the real-life examples, then the known example of rotation for every person is the Earth, it rotates on its own axis. A Rotation is a circular motion of any figure or object around an axis or a center. This means that the line is rotated about the origin by 270 0 counter clockwise.In Geometry Topics, the most commonly solved topic is Rotations. Line OA is rotated according to R ((0,0),270 0). In general any point A(x, y) when rotated R(origin, 180 0) is transformed into A’(-x, -y)Ĭonsider the figure below. As can be seen from the figure, O remains at the same location and Point A moves to A’Īs can be seen from the figure, due to rotation A(10,8) –> A’(-10,-8)

This means that the line is rotated about the origin by 180 0 counter clockwise. Line OA is rotated according to R ((0,0),180 0). In general any point A(x, y) when rotated R (origin, 90 0) is transformed into A’(-y, x)Ĭonsider the figure below. As can be seen from the figure, O remains at the same location and Point A moves to A’Īs can be seen from the figure, due to rotation A(10,8) –> A’(-8,10) This means that the line is rotated about the origin by 90 0 counter clockwise. Line OA is rotated according to R ((0,0), 90 0). If the angle of rotation is negative, than the object is rotated clockwiseĬonsider the figure below. If the angle of rotation is positive, than the object is rotated counterclockwise O is the point of rotation or the center and the object is rotated 90 0 counter-clockwise In the example above, the rotation is represented by R(O, 90 0).

The rotation can be represented by R (center, angle). Each point on OA from the center O, is equidistant to the corresponding point on OA’ from O. Line OA is rotated 90 0 counterclockwise to position OA’. When you rotate an object on the center, the distance from the center to corresponding points on the pre-image and image remain the same. The stationary point is called the center. point, line, shape) around a stationary point. There are four different type of transformation: The original figure is called a pre-image and the figure after the transformation is called as the image General term for ways in which a point, line or shape can be manipulated.

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