Rotation 270° about the origin: Each x value becomes opposite of what it was. Rotation 180° about the origin: Each x and y value becomes opposite of what it was. Rotation 90° about the origin: Each y-value becomes opposite of what it was. 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. Reflection across the line y=x: The x and y values switch places. A rotation is a transformation that turns a figure about a fixed point called the center of rotation. Reflection across the y-axis: Each y-value stays the same and each y-value becomes opposite of what it was. Reflection across the x-axis: Each x-value stays the same and each y-value becomes opposite of what it was. Now, with the interactive below, practice. The opposite of 5 is -5 and, switching the coordinates, you obtain your answer: (8, -5). The rule for rotating an object 270 clockwise about the origin is to take the opposite value of the x-coordinate and then switch it with the y-coordinate. Transformation Rules on the Coordinate Plane Translation: Each point moves a units in the x-direction and b units in the y-direction. Rotate the point (5, 8) about the origin 270 clockwise. I have used several concepts, especially writing, solving, and graphing linear equations, Pythagorean Theorem, ratios and percents, and many other aspects of statistics throughout my many years of life and many occupations in life. I can describe the effects of dilations, translations, rotations, and reflections on 2-D figures using coordinates. Reality also tells us that every math principle taught is a math concept actually used somewhere in real life.I can identify scale factor of the dilation.I can define dilations as a reduction or enlargement of a figure. Examples, solutions, worksheets, videos, and lessons to help Grade 8 students learn how to describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
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