DRILL NOV 17 A trapezoid has vertices W

Rotation Objective: SWBAT generalize a rule for rotation of coordinates by using 90 and

Rotations A turn around a center. The distance from the center to any point

A rotation turns a figure through an angle about a fixed point called the

Rotate ∆TSN 90°cw (x, y) (y, -x) T’ T(-1, 1) T'(1, 1) S(4, -1)

Rotate ∆TSN 180° (x, y) (-x, -y) T(-1, 1) T'(1, -1) S(4, -1) S'(-4,

Rotate ∆TSN 270° cw (x, y) to (-y, x) T(-1, 1) T'(-1, -1) S(4,

Rotate 90 CW about the Origin (Same as 270 CCW) Change the sign of

Rotate 270 Clockwise (Same as 90 ccw) Change the sign of y and switch

Rotate 90° counterclockwise about the origin

Rotate 180 about the Origin ONLY Change the signs

Virtual Nerd Tutoring Lessons Lesson on Rotations http: //www. virtualnerd. com/prealgebra/geometry/transformations-symmetry/define -transformations/rotation-definition Lesson on

Coordinate Rules for Rotations about the origin: When a point (x, y) is rotated

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DRILL – NOV 17 A trapezoid has vertices W(– 2, 4), X(6, 4 ), Y(4, 1) and Z(– 4, 1). Find the coordinates that is translated 4 units up and 3 units to the left.

Rotation Objective: SWBAT generalize a rule for rotation of coordinates by using 90 and 180 clockwise direction.

Rotations A turn around a center. The distance from the center to any point on the shape stays the same.

Rotations degrees & direction Clockwise

A rotation turns a figure through an angle about a fixed point called the center. It is a rigid isometry. Rules of rotation are for clockwise rotations. Rotation of 90°: Rotation of 180°: Rotation of 270°: Counter clockwise rotations are opposite clockwise. 90°cw = 270°ccw and 270°cw = 90°ccw

Rotate ∆TSN 90°cw (x, y) (y, -x) T’ T(-1, 1) T'(1, 1) S(4, -1) S'(-1, -4) N(1, -4) N'(-4, -1) N’ S’ (270 ° CCW rotation)

Rotate ∆TSN 180° (x, y) (-x, -y) T(-1, 1) T'(1, -1) S(4, -1) S'(-4, 1) N(1, -4) N'(-1, 4)

Rotate ∆TSN 270° cw (x, y) to (-y, x) T(-1, 1) T'(-1, -1) S(4, -1) S'(1, 4) N(1, -4) N'(4, 1)

Rotate 90 CW about the Origin (Same as 270 CCW) Change the sign of x and switch the order

Rotate 90 CW

Rotate 270 Clockwise (Same as 90 ccw) Change the sign of y and switch the order

Rotate 90° counterclockwise about the origin

Rotate 180 about the Origin ONLY Change the signs

Rotate 180° about the origin

Virtual Nerd Tutoring Lessons Lesson on Rotations http: //www. virtualnerd. com/prealgebra/geometry/transformations-symmetry/define -transformations/rotation-definition Lesson on Rotations 90° http: //www. virtualnerd. com/prealgebra/geometry/transformationssymmetry/rotating-figures/rotate-90 degrees-about-origin Lesson on Rotations 180° http: //www. virtualnerd. com/prealgebra/geometry/transformationssymmetry/rotating-figures/rotate-180 -degrees-about-origin

Coordinate Rules for Rotations about the origin: When a point (x, y) is rotated clockwise about the origin, the following rules are true: For a rotation of 900(x, y) (y, -x). For a rotation of 1800 (x, y) (-x, -y). For a rotation of 2700 (x, y) (-y, x). When a point (x, y) is rotated counterclockwise about the origin, the following rules are true: For a rotation of 900 (x, y) (-y, x). For a rotation of 1800 (x, y) (-x, -y). For a rotation of 2700 (x, y) (y, -x).