![]() ![]() When plot these points on the graph paper, we will get the figure of the image (rotated figure). 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. If you want to do a clockwise rotation follow these formulas: 90 (b, -a) 180 (-a, -b) 270 (-b. In the above problem, vertices of the image areħ. Also this is for a counterclockwise rotation. When we apply the formula, we will get the following vertices of the image (rotated figure).Ħ. When we rotate the given figure about 90° clock wise, we have to apply the formulaĥ. When we plot these points on a graph paper, we will get the figure of the pre-image (original figure).Ĥ. Here is the clearer version: The 'formula' for a rotation depends on the direction of the rotation. I hope this helps Edit: I'm sorry about the confusion with my original message above. With unit circle theory, the positive x axis is 0 degrees, so rotating into the first quadrant gives positive values for sin and cos which make best sense for angles between 0 and 90. ![]() In the above problem, the vertices of the pre-image areģ. If you want to do a clockwise rotation follow these formulas: 90 (b, -a) 180 (-a, -b) 270 (-b, a) 360 (a, b). A positive rotation is in the counterclockwise direction. First we have to plot the vertices of the pre-image.Ģ. So the rule that we have to apply here is (x, y) -> (y, -x).īased on the rule given in step 1, we have to find the vertices of the reflected triangle A'B'C'.Ī'(1, 2), B(4, -2) and C'(2, -4) How to sketch the rotated figure?ġ. ![]() Here triangle is rotated about 90 ° clock wise. If this triangle is rotated about 90 ° clockwise, what will be the new vertices A', B' and C'?įirst we have to know the correct rule that we have to apply in this problem. Let A(-2, 1), B (2, 4) and C (4, 2) be the three vertices of a triangle. Let us consider the following example to have better understanding of reflection. Which is clockwise and which is counterclockwise You can answer that by considering what each does to the signs of the coordinates. Here the rule we have applied is (x, y) -> (y, -x). (-y,x) and (y,-x) are both the result of 90 degree rotations, just in opposite directions. Once students understand the rules which they have to apply for rotation transformation, they can easily make rotation transformation of a figure.įor example, if we are going to make rotation transformation of the point (5, 3) about 90 ° (clock wise rotation), after transformation, the point would be (3, -5). Rotation of point through 90 about the origin in clockwise direction when point M (h, k) is rotated about the origin O through 90 in clockwise direction. ![]()
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