9.4 Perform Rotations Mrs. vazquez Geometry.

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Presentation transcript:

9.4 Perform Rotations Mrs. vazquez Geometry

g.co.4, g.co.5 Essential Question: How can we use Algebra to rotate figures on a coordinate plane? Objective: Students will be able to rotate images using algebraic rules and matrices.

Rotate 90o CCW A(x, y) → A’(-y, x) 0 -1 1 0 0 -1 1 0 *Use this rotation matrix with the polygon matrix to find the product.

Rotate 180o A(x, y) → A’(-x, -y) -1 0 0 -1 -1 0 0 -1 *Use this rotation matrix with the polygon matrix to find the product.

Rotate 270o CCW A(x, y) → A’(y, -x) 0 1 -1 0 0 1 -1 0 *Use this rotation matrix with the polygon matrix to find the product.

Rotate 360o CCW A(x, y) → A’(x, y) 1 0 0 1 1 0 0 1 *Use this rotation matrix with the polygon matrix to find the product.