Students must connect the words that describe transformations to the algebraic representation for how translations, rotations, and reflections move a figure on an (x, y) graph. Reflections are limited to two types of reflections, a flip over one of the axes. Rotations are limited to the four 90˚ turns.
A figure is graphed on a coordinate grid as shown below.The figure is rotated 90˚ clockwise with the origin as the center of rotation to create a new figure. What rule describes this transformation? Justify your thinking.
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8.10 Two-dimensional shapes. The student applies mathematical process standards to develop transformational geometry concepts. The student is expected to:
(C) explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90°, 180°, 270°, and 360° as applied to two-dimensional shapes on a coordinate plane using an algebraic representation