Warm up Write a description of the rule . (x, y) → (x +7, y – 4)

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Warm up Write a description of the rule . (x, y) → (x +7, y – 4) (a) translation 7 units to the right and 4 units up (b) translation 7 units to the left and 4 units down (c) translation 7 units to the right and 4 units down translation 7 units to the left and 4 units up 2. Using the points T(0,3), U(2, 4) and V(5, -1) translate ΔTUV using the rule (x, y)  (x - 3, y - 1).

EOCT

QUIZ on MONDAY 2/3/2014

Reflection Correction y = -x → (-y, -x) A little more in depth: Reflection over a line(ie x = or y =) Example y = -2; add or subtract the distance from the y = -2 line

A(-5, 2), B(1, 2), C(1, -1), and D(-5, -1) in the line y = -2

Let’s discover the rules using the manipulatives. Rotations Let’s discover the rules using the manipulatives.

Rotate 90 Clockwise about the Origin (Same as 270 Counterclockwise) Change the sign of x and switch the order

Rotate 90° clockwise about the origin

Rotate 90° clockwise about the origin

Rotate 90 Counterclockwise about the Origin (Same as 270 Clockwise) Change the sign of y and switch the order

Rotate 90° counterclockwise about the origin

Rotate 90° counterclockwise about the origin

Rotate 180 about the Origin ONLY Change the signs

Rotate 180° about the origin

Rotate 180° about the origin

Rotate about a Point 1. Subtract the point of Rotation 2. Rotate as normal 3. Add the point of Rotation back in Rotate A(-1, 2), B(-1, 5) and C(-3, 5) 90 Degrees Clockwise around the point (0,2)

Subtract point of rotation PREIMAGE Subtract point of rotation -(0,2) Rotate as Normal 90º CW (y,-x) Add point of rotation +(0,2) A(-1,2) (-1,0) (0,1) (0,3) B(-1,5) (-1,3) (3,1) (3,3) C(-3,5) (-3,3) (3,5)

Rotations Practice Worksheet Classwork Rotations Practice Worksheet