![]() ![]() There is a neat trick to doing these kinds of transformations. Rotations may be clockwise or counterclockwise. An object and its rotation are the same shape and size, but the figures may be turned in different directions. Identify whether or not a shape can be mapped onto itself using rotational symmetry. The demonstration below that shows you how to easily perform the common Rotations (ie rotation by 90, 180, or rotation by 270). A rotation is a transformation that turns a figure about a fixed point called the center of rotation.Step 3 : Based on the rule given in step 1, we have to find the vertices of the reflected triangle ABC. So the rule that we have to apply here is (x, y) -> (y, -x). 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 look at a real example, here we plotted point A at (5, 6) then we rotated the paper 90 clockwise to create point A’, which is at (6, 5). ![]() Step 2 : Here triangle is rotated about 90° clock wise. Example 1 : The triangle XYZ has the following vertices X(0, 0), Y(2, 0) and Z(2, 4). If you take a coordinate grid and plot a point, then rotate the paper 90 or 180 clockwise or counterclockwise about the origin, you can find the location of the rotated point.
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