![rules of rotation geometry xy yx rules of rotation geometry xy yx](https://i.stack.imgur.com/dd7UL.jpg)
Now, we know that 90° clockwise rotation will make the coordinates (x, y) be (y, -x). Solution: As you can see, triangle ABC has coordinates of A(-4, 7), B(-6, 1), and C(-2, 1). Rotate the triangle ABC about the origin by 90° in the clockwise direction. We can show it graphically in the following graph.Įxample 4: The following figure shows a triangle on a coordinate grid. Step 3: Now we can draw a line from the point of. Since we are rotating Point M 90º, we know we are going to be rotating this point to the left in the clockwise direction. Step 2: Next we need to identify the direction of rotation.
![rules of rotation geometry xy yx rules of rotation geometry xy yx](https://2.bp.blogspot.com/-tGocaTA5dSM/WFjNo52RhEI/AAAAAAAADFI/eQe65uJ6jm8FfXZCemhrmNXrj_EXBZklgCEw/s1600/Reflections%2Band%2BRotations%2BINB%2B3.jpg)
So, for the point K (-3, -4), a 180° rotation will result in K’ (3, 4). Step 1: First, let’s identify the point we are rotating (Point M) and the point we are rotating about (Point K). Solution: As we know, 180° clockwise and counterclockwise rotation for coordinates (x, y) results in the same, (-x, -y). Show the plotting of this point when it’s rotated about the origin at 180°. It will look like this:Įxample 3: In the following graph, a point K (-3, -4) has been plotted. So, for this figure, we will turn it 180° clockwise.
![rules of rotation geometry xy yx rules of rotation geometry xy yx](https://i.ytimg.com/vi/KvgB7x9g2n8/maxresdefault.jpg)
Solution: We know that a clockwise rotation is towards the right. The images are represented in the following graph.Įxample 2: In the following image, turn the shape by 180° in the clockwise direction. Thus, for point B (4, 3), 180° clockwise rotation about the origin will give B’ (-4, -3). Similarly, for B (4, 3), 90° clockwise rotation about the origin will give B’ (3, -4).ī) For clockwise rotation about the origin by 180°, the coordinates (x, y) become (-x, -y). Example 1: Find an image of point B (4, 3) that was rotated in the clockwise direction for:Ī) As we have learned, 90° clockwise rotation about the origin will result in the coordinates (x, y) to become (y, -x).