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Section 3.3 2011.notebook November 18, 2011 Rotation is a transformation in which the points in a plane are moved either clockwise or counterclockwise by an angle with respect to a center point. Rotation 0 360 10 350 20 340 30 330 40 320 50 310 60 300 70 290 80 280 90 270 100 260 110 250 120 240 130 230 140 220 150 210 160 200 170 190 180 180 190 170 200 160 210 150 220 140 230 130 240 120 250 110 260 100 270 90 280 80 290 70 300 60 310 50 320 40 330 30 340 20 350 10 Teacher's Notes 2 Teacher's Notes 1

Teacher's Notes 1 18 Period 11-12.pdf · Section 3.3 2011.notebook November 18, 2011 Rotation is a transformation in which the points in a plane are moved either clockwise or counterclockwise

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Page 1: Teacher's Notes 1 18 Period 11-12.pdf · Section 3.3 2011.notebook November 18, 2011 Rotation is a transformation in which the points in a plane are moved either clockwise or counterclockwise

Section 3.3 2011.notebook November 18, 2011

Rotation is a transformation in which the points in a plane are moved either clockwise or counter­clockwise by an angle with respect to a center point.

Rotation

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10 350

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Teacher's Notes 2

Teacher's Notes 1

Page 2: Teacher's Notes 1 18 Period 11-12.pdf · Section 3.3 2011.notebook November 18, 2011 Rotation is a transformation in which the points in a plane are moved either clockwise or counterclockwise

Section 3.3 2011.notebook November 18, 2011

Rotation by 90ο

The coordinates of the image of a point P(x, y) rotated by an angle 90ο counter­clockwise will be P'(–y, x)

PointCoordinates

Original ImageABCDE

A

B

C D

E

Solution

Check Your Understanding

Select the correct answer.

1 What are the coordinates of the point P(2, –3) when rotated counter­clockwise at an angle 90° around the origin?

A P'(–3, 2)

B P'(–2, –3)

C P'(2, 3)

D P'(3, 2)

Page 3: Teacher's Notes 1 18 Period 11-12.pdf · Section 3.3 2011.notebook November 18, 2011 Rotation is a transformation in which the points in a plane are moved either clockwise or counterclockwise

Section 3.3 2011.notebook November 18, 2011

Rotation by 180ο

The coordinates of the image of a point P(x, y) rotated by an angle 90οcounter­clockwise will be P'(–x, –y)

PointCoordinates

Original ImageABCDE

A

B

C

D

E

Solution

Activity

In the next screen we will perform an activity on matching the coordinates of a point when rotated by a specified angle counter­clockwise with the origin as the center of rotation. Drag the coordinates against the correct rotation specification.

Page 4: Teacher's Notes 1 18 Period 11-12.pdf · Section 3.3 2011.notebook November 18, 2011 Rotation is a transformation in which the points in a plane are moved either clockwise or counterclockwise

Section 3.3 2011.notebook November 18, 2011

Check Your Understanding

Select the correct answer.

2 What are the coordinates of the point P(3, –2) when rotated counter­clockwise at an angle 90° around the origin?

A P'(–3, 2)

B P'(3, –2)

C P'(2, 3)

D P'(–2, –3)

Page 5: Teacher's Notes 1 18 Period 11-12.pdf · Section 3.3 2011.notebook November 18, 2011 Rotation is a transformation in which the points in a plane are moved either clockwise or counterclockwise

Section 3.3 2011.notebook November 18, 2011

Check Your Understanding

Select the correct answer.

3 What are the coordinates of the point P(–4, 1) when rotated counter­clockwise at an angle 180° around the origin?

A P'(–4, 1)

B P'(4, –1)

C P'(4, 1)

D P'(–4, –1)

Check Your Understanding

Select the correct answer.

4 A point P(2, 3) is rotated counter­clockwise at an angle 90°. What is the quadrant in which the image falls?

A Quadrant I

B Quadrant II

C Quadrant III

D Quadrant IV