Success Starter for 8/23/17 Rotate A(12, -4) 180 degrees.

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Presentation transcript:

Success Starter for 8/23/17 Rotate A(12, -4) 180 degrees. Rotate B(11, -5) 270 degrees. Rotate C(-5,-3) 90 degrees counterclockwise.

Success Starter for 8/23/17 Rotate A(-8,-3) 270 degrees counterclockwise. Rotate B(4,6) 90 degrees clockwise. Rotate C(-12, 4) 180 degrees.

Success Starter for 8/22/17 If your preimage is in quadrant II, which quadrant would it end up in after a rotation of 270 degrees counterclockwise? If your preimage is in quadrant IV, which quadrant would it end up in after a rotation of 180 degrees?

Warm-up Rotate 270⁰ CCW A(-4, 2) B(-4, 6) C(2, 6) B C A

Rotations

Rotations turned origin clockwise counterclockwise A rotation is a transformation in which a figure is __________________ about a fixed point called the ______________. Rotations can be ______________________ or _____________________________. turned origin clockwise counterclockwise

ANGLE OF ROTATIONS A 90° rotation is a 1 quadrant rotation. A 360° rotation is a full rotation.

Examples Your preimage is in Quadrant II, which quadrant would it end up in after a rotation of 270 degrees clockwise? Your preimage is in quadrant I, which quadrant would it end up in after a rotation of 180 degrees? Your preimage is in quadrant I, which quadrant would it end up in after a rotation of 90 degrees clockwise?

You Try Your preimage is in quadrant II, which quadrant would it end up in after a rotation of 90 degrees counterclockwise? Your preimage is in quadrant III, which quadrant would it end up in after a rotation of 180 degrees?

How to Rotate 2-d figures on a Coordinate Plane (90° and 270°) Place a star in the quadrant the original coordinate lies in. Switch the x and the y values (WITHOUT THEIR SIGNS). Rotate your star according to the degrees (90° or 270°) and direction (clockwise or counterclockwise) Check the signs of the quadrant your star is now in.

How to Rotate 2-d figures 180° To rotate a figure 180°, change the signs of the x-value and y-value.

Examples Rotate A(5,7) 90 degrees clockwise. Rotate A(5,-7) 270 degrees counter clockwise. Rotate X(-9,3) 180 degrees.

You Try Use the coordinate J(-4,8) to rotate the following way (list the new coordinates) 90 degrees counterclockwise 180 degrees 270 degrees counterclockwise

More Examples Note to self: Add 3 examples where the pre-image and new image is on the coordinate plane and students must write the degree of rotation and direction of rotation.

First Five

Rotate M(6,2) 270 degrees counterclockwise. First Five Rotate M(6,2) 270 degrees counterclockwise.

Homework 1) Rotate A(-2,4) 90° clockwise about the origin. 2) Rotate X(5,-2) 90° counterclockwise. 3) Rotate C(8,-7) 180° about the origin. 4) Rotate A(2,1) 270° counterclockwise about the origin. 5) Rotate X(-3,-2) 90° clockwise. 6) Rotate Z(-1,4) 270° clockwise.

Exit Ticket H’(4, 8) E’(1, 7) Y’(-2, 1) 90⁰ counterclockwise OR 2. Find the coordinates of the vertices of each figure after a rotation of 270⁰ CCW about the origin: H(-8, 4) E(-7, 1) Y(-1, -2) 1. Determine the angle(s) of rotation H’(4, 8) E’(1, 7) Y’(-2, 1) 90⁰ counterclockwise OR 270 ⁰ clockwise