Rotations
Move the slider to demonstrate a rotation around a point.
Describe the rotation of triangle ABC.
It is a counterclockwise rotation of alpha degrees about the point D.
Is a rotation a rigid transformation.
no
yes
Perform a 90 degree rotation counterclockwise around the origin D.
What happened to the order pairs when you rotated the triangle 90 degrees counterclockwise around the origin?
The x and y coordinates switched and the y-coordinate became opposite of what it was. [br](a,b)--->(-b,a)
Rotate the given triangle 180 degrees counterclockwise around the origin D.
What happened to the ordered pair when your performed the rotation of a 180 degrees counterclockwise around the origin?
x and y coordinates became opposite of what they were.
Rotate the given triangle 270 degrees counterclockwise around the origin D.
What happened to the ordered pairs when you rotated the triangle 270 degrees counterclockwise around the origin?
The coordinates switched and the x-coordinate became the opposite of what it was.[br](a,b)--->(b,-a)
Describe the rotation of the above construction.
70 degrees clockwise around point D.
If the you have a point A(-5,7) and rotated it 90 degrees counterclockwise around the origin, then what would be the coordinates for A'?
(5,-7)
(-7,5)
(7,5)
(7,-5)
(-7,-5)
(-5,7)
If the you have a point J(-4,-8) and rotated it 270 degrees counterclockwise around the origin, then what would be the coordinates for A'?
(8,-4)
(-8,-4)
(-4,8)
(4,8)
(-8,4)
(8,4)
If the you have a point A(9,-1) and rotated it 180 degrees counterclockwise around the origin, then what would be the coordinates for A'?
(-1,9)
(1,-9)
(-1,-9)
(-9,1)
(-9,-1)
(1,9)
Translate the given triangle (x,y)-->(x-5, y+4); then rotate 90 degrees counterclockwise around D.
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Information: Rotations