Unit: Transformations
Homework 4
Nome
Date
Pd
ROTATIONS ON THE COORDINATE PLANE
Use the figure to answer the questions below. Match your onswers in the table to solve the ridde.
II
1
(2-2)
(22)
O Find A' after A Find B' after B
is rotated 90° is rotated 270
clockwise. 02. clockwise.
|(-2,-7
(272)
Find Cafter Find D' after D
is rotated 180° is rotated 90°
1,-2
clockwise. clockwise. 2.1
(1-7)
(1-2)
Find A' after A Find Blofter B
is rotated 180°-2,-7 is rotated 270"
counterclockwise. counterclockwise.
(-2,-7)
42.7)
Find Carter C o Find Darrer
IV
is rotated 90° is rotated 180
counterclockwise. counterclockwise
S (7-7)
C (-2,-7)
B (-7,-7) (-7, -1) W (21)
o Find A' after A 00 Find Bortor
11 (-7,2 R (2.0
is rotated 270° Bis rotated 180°
clockwise,
clockwise
IU (-2,-1) E(-1,2) P-1,7
IN (-7,7) A 17.-2) D(20)
00 Find Cafter 00 Find D' after
C is rotated 90° Dis rotated 90°
clockwise
counterclockwise.
WHY DOES NOBODY TALK TO CIRCLES?
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Points A, C and D after [tex]90^o[/tex] clockwise rotation are: [tex]A' =(7,-2)[/tex], [tex]C' = (1,-7)[/tex] and [tex]D' = (1,-2)[/tex]
Points A and B after [tex]270^o[/tex] clockwise rotation are [tex]A' = (-7,2)[/tex] and [tex]B' = (-7,7)[/tex].
Points B and C after [tex]180^o[/tex] clockwise rotation are [tex]B = (-7,-7)[/tex] and [tex]C' = (-7,-1)[/tex].
Points A and D after [tex]180^o[/tex] counterclockwise rotation are [tex]A = (-2,-7)[/tex] and [tex]D = (-2,-1)[/tex].
Points C and D after [tex]90^o[/tex] counterclockwise rotation are [tex]C' = (-1,7)[/tex] and [tex]D' = (-1,2)[/tex].
Point B after [tex]90^o[/tex] clockwise rotation is [tex]B = (7,-7)[/tex]

From the plane, we have the following coordinates:

[tex]A = (2,7)[/tex]

[tex]B = (7,7)[/tex]

[tex]C=(7,1)[/tex]

[tex]D = (2,1)[/tex]

When a point is rotated [tex]90^o[/tex] clockwise, the rule is:

[tex](x,y) \to (y,-x)[/tex]

So, the new points after A, C and D are rotated [tex]90^o[/tex] clockwise are:

[tex]A' =(7,-2)[/tex]

[tex]C' = (1,-7)[/tex]

[tex]D' = (1,-2)[/tex]

When a point is rotated [tex]270^o[/tex] clockwise, the rule is:

[tex](x,y) \to (-y,x)[/tex]

So, the new points after A and B are rotated [tex]270^o[/tex] clockwise are:

[tex]A' = (-7,2)[/tex]

[tex]B' = (-7,7)[/tex]

When a point is rotated [tex]180^o[/tex] clockwise and counterclockwise, the rule is:

[tex](x,y) \to (-x,-y)[/tex]

So, the new points after B and C are rotated [tex]180^o[/tex] clockwise are:

[tex]B = (-7,-7)[/tex]

[tex]C' = (-7,-1)[/tex]

And, the new point after A and D are rotated [tex]180^o[/tex] counterclockwise are:

[tex]A = (-2,-7)[/tex]

[tex]D = (-2,-1)[/tex]

When a point is rotated [tex]90^o[/tex] counterclockwise, the rule is:

[tex](x,y) \to (-y,x)[/tex]

So, the new points after C and D are rotated [tex]90^o[/tex] counterclockwise are:

[tex]C' = (-1,7)[/tex]

[tex]D' = (-1,2)[/tex]

Lastly, when a point is rotated [tex]270^o[/tex] counterclockwise, the rule is:

[tex](x,y) \to (y,-x)[/tex]

So, the new point after B is rotated [tex]90^o[/tex] clockwise is:

[tex]B = (7,-7)[/tex]