Rotations: "Do a 180"
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Plot (click) point (3,1)
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Plot (click) point (5,1)
Point (3,1) is shown
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Plot (click) point (4,4)
Point (3,1) is shown
Point (5,1) is shown
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Point A is at (4,4)

Rotate it 180 degrees
about the origin.
Click the image of A, (A')

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B
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C
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(4,4) rotated 180
degrees about the
origin has its image
at (-4,-4)
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A'
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B
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C
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Point B is at (3,1)

Rotate it 180 degrees
about the origin.
Click the image of B, (B')

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A'
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B
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C
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(3,1) rotated 180
degrees about the
origin has its image
at (-3,-1)
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A'
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B'
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B
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C
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Point C is at (5,1)

Rotate it 180 degrees
about the origin.
Click the image of C, (C')

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A'
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B'
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B
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C
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After a 180 degree
rotation about the
origin, the following
new points
were formed:
C'
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A'
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B'
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A (4,4) → A' (-4,-4)

B (3,1) → B' (-3,-1)

C (5,1) → C' (-5,-1)
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B
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C
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Using the pattern, if
(6,2) were rotated about
the origin, where would
its new image be?
(       ,        )
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C'
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A'
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B'
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A (4,4) → A' (-4,-4)

B (3,1) → B' (-3,-1)

C (5,1) → C' (-5,-1)
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B
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C
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Using the pattern, if
(2,-5) were rotated about
the origin, where would
its new image be?
(       ,        )
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C'
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A'
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B'
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A (4,4) → A' (-4,-4)

B (3,1) → B' (-3,-1)

C (5,1) → C' (-5,-1)
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B
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C
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Using the pattern, if
(-8,-1) were rotated about
the origin, where would
its new image be?
(       ,        )
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C'
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A'
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B'
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A (4,4) → A' (-4,-4)

B (3,1) → B' (-3,-1)

C (5,1) → C' (-5,-1)
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B
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C
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Using the pattern, if
(x,y) were rotated about
the origin, where would
its new image be?
(       ,        )
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C'
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A'
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B'
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A (4,4) → A' (-4,-4)

B (3,1) → B' (-3,-1)

C (5,1) → C' (-5,-1)
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B
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C
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