![]() 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. The rotation formula is used to find the position of the point after rotation. The rotation formula tells us about the rotation of a point with respect to the origin. Reflection across the line y=x: The x and y values switch places. Learn Math Formulas from a handpicked tutor in LIVE 1-to-1 classes. ![]() 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. Transformation Rules on the Coordinate Plane Translation: Each point moves a units in the x-direction and b units in the y-direction. I can describe the effects of dilations, translations, rotations, and reflections on 2-D figures using coordinates.I can identify scale factor of the dilation.I can define dilations as a reduction or enlargement of a figure.Notice how the octagons sides change direction, but the general. In the figure below, one copy of the octagon is rotated 22 ° around the point. ![]() Notice that the distance of each rotated point from the center remains the same. ![]() 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. In geometry, rotations make things turn in a cycle around a definite center point. ![]()
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