![]() ![]() Now I want you to try some practice problems on your own. Let’s apply the rules to the vertices to create quadrilateral A’B’C’D’: To rotate quadrilateral ABCD 90° counterclockwise about the origin we will use the rule \((x,y)\) becomes \((-y,x)\). Let’s apply the rule to the vertices to create the new triangle A’B’C’: Let’s rotate triangle ABC 180° about the origin counterclockwise, although, rotating a figure 180° clockwise and counterclockwise uses the same rule, which is \((x,y)\) becomes \((-x,-y)\), where the coordinates of the vertices of the rotated triangle are the coordinates of the original triangle with the opposite sign. To rotate triangle ABC about the origin 90° clockwise we would follow the rule (x,y) → (y,-x), where the y-value of the original point becomes the new \(x\)-value and the \(x\)-value of the original point becomes the new \(y\)-value with the opposite sign. Now that we know how to rotate a point, let’s look at rotating a figure on the coordinate grid.
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