Geometry rotations rules2/4/2024 ![]() ![]() 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. So, for the point K (-3, -4), a 180° rotation will result in K’ (3, 4). The order of transformations performed in a composite transformation. A composite transformation is when two or more transformations are performed on a figure (called the preimage) to produce a new figure (called the image). Solution: As we know, 180° clockwise and counterclockwise rotation for coordinates (x, y) results in the same, (-x, -y). In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. 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. 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. So if originally point P is right over here and we're rotating by positive 60 degrees, so that means we go counter clockwise by 60 degrees. ![]() It's being rotated around the origin (0,0) by 60 degrees. Thus, for point B (4, 3), 180° clockwise rotation about the origin will give B’ (-4, -3). Pause this video and see if you can figure that out. 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). ![]()
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