Teacher's Notes 1 18 Period 11-12.pdf¢  Section 3.3 2011.notebook November 18, 2011 Rotation is a transformation
Teacher's Notes 1 18 Period 11-12.pdf¢  Section 3.3 2011.notebook November 18, 2011 Rotation is a transformation
Teacher's Notes 1 18 Period 11-12.pdf¢  Section 3.3 2011.notebook November 18, 2011 Rotation is a transformation
Teacher's Notes 1 18 Period 11-12.pdf¢  Section 3.3 2011.notebook November 18, 2011 Rotation is a transformation
Teacher's Notes 1 18 Period 11-12.pdf¢  Section 3.3 2011.notebook November 18, 2011 Rotation is a transformation

Teacher's Notes 1 18 Period 11-12.pdf¢  Section 3.3 2011.notebook November 18, 2011 Rotation is a transformation

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Text of Teacher's Notes 1 18 Period 11-12.pdf¢  Section 3.3 2011.notebook November 18, 2011...

  • 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

    32050

    310 60

    300

    70

    290

    80

    280

    90

    270

    100

    260

    110

    250

    120

    240

    130

    230

    140

    220

    150

    210

    160 200

    170190

    180180

    190170

    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

    Te ac he r's  N ot es  2

    Te ac he r's  N ot es  1

  • 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)

    Point Coordinates

    Original Image A B C D E

    A

    B

    C D

    E

    So lu tio n

    Check Your Understanding

    Select the correct answer.

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

    A P'(–3, 2)

    B P'(–2, –3)

    C P'(2, 3)

    D P'(3, 2)

  • 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)

    Point Coordinates

    Original Image A B C D E

    A

    B

    C

    D

    E

    So lu tio n

    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.

  • 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 counter­ clockwise at an angle 90° around the origin?

    A P'(–3, 2)

    B P'(3, –2)

    C P'(2, 3)

    D P'(–2, –3)

  • 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 counter­ clockwise 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

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