![]() But points, lines, and shapes can be rotates by any point (not just the origin)! When that happens, we need to use our protractor and/or knowledge of rotations to help us find the answer. The rotation rules above only apply to those being rotated about the origin (the point (0,0)) on the coordinate plane. The rule for 90° counterclockwise rotation is ((x,y)) becomes ((-y,x)), let’s apply the rule to find the vertices of our new pentagon. If we compare our coordinate point for triangle ABC before and after the rotation we can see a pattern, check it out below: To derive our rotation rules, we can take a look at our first example, when we rotated triangle ABC 90º counterclockwise about the origin. Rotation Rules: Where did these rules come from? If this triangle is rotated 90 counterclockwise, find the vertices of the rotated figure and graph. Example 1 : Let F (-4, -2), G (-2, -2) and H (-3, 1) be the three vertices of a triangle. Yes, it’s memorizing but if you need more options check out numbers 1 and 2 above! When we rotate a figure of 90 degrees counterclockwise, each point of the given figure has to be changed from (x, y) to (-y, x) and graph the rotated figure. Know the rotation rules mapped out below. 90 degrees counterclockwise rotation 180 degree rotation 270 degrees clockwise rotation 270 degrees counterclockwise rotation 360 degree rotation Note that a geometry rotation does not result in a change or size and is not the same as a reflection Clockwise vs.Use a protractor and measure out the needed rotation.We can visualize the rotation or use tracing paper to map it out and rotate by hand.There are a couple of ways to do this take a look at our choices below: Solution : Step 1 : Trace triangle XYZ and the x- and y-axes onto a piece of paper. Rotate the triangle XYZ 90° counterclockwise about the origin. Let’s take a look at the difference in rotation types below and notice the different directions each rotation goes: How do we rotate a shape? Example 1 : The triangle XYZ has the following vertices X(0, 0), Y(2, 0) and Z(2, 4). ![]() Rotations are a type of transformation in geometry where we take a point, line, or shape and rotate it clockwise or counterclockwise, usually by 90º,180º, 270º, -90º, -180º, or -270º.Ī positive degree rotation runs counter clockwise and a negative degree rotation runs clockwise.
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