When plot these points on the graph paper, we will get the figure of the image (rotated figure). In the above problem, vertices of the image areħ. 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. In the above problem, the vertices of the pre-image areģ. 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. Determining rotations Google Classroom Learn how to determine which rotation brings one given shape to another given shape. For example, this animation shows a rotation of pentagon I D E A L about the point ( 0, 1). 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. A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point. A rotation is an example of a transformation where a figure is rotated about a specific point (called the center of rotation), a certain number of degrees. Let A(-2, 1), B (2, 4) and C (4, 2) be the three vertices of a triangle. In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. Let us consider the following example to have better understanding of reflection. Here the rule we have applied is (x, y) -> (y, -x). 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).
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