Translation
Describe a translation.
It moves a shape without turning or flipping it.
What is a reflection? How do you do it on a coordinate grid?
bonus: what are the “rules” so you can do it without graph paper?
It “mirrors” the original.
You count how far it is from the axis you are reflecting over and go that far the other way.
Reflect over x: (x,y) —> (x,-y)
Reflect over y: (x,y) —> (-x,y)
If it is in quadrant 3 and you rotate it 90 degrees clockwise, which quadrant would it end up in?
Quadrant 2
If the shape is in quadrant 3, where will it be when you rotate it 180 CW?
Quadrant 1
If you start in Quadrant 2 and rotate 270 CW which quadrant do you end up in?
Quadrant 3
Write the algebraic expression for translating (x,y) 4 right and 7 up.
Where is (3,2) when it is reflected over the x-axis?
(3,-2)
What rotation is the same as 90 degrees clockwise?
270 degrees counter clockwise
What rotation is the same as 180 CW?
180 CCW
What rotation is the same as a 270 CW Rotation?
90 degrees CCW
Write the algebraic expression for translating (x,y) 9 left and 1 down.
(X-9,y-1)
Where is (-4,-8) when it is reflected over the x-axis?
(-4,8)
Rotate (6, 5) 90 degrees clockwise.
(5, -6)
Where is (7,9) after 180 CW rotation?
(-7,-9)
Where would (7, 3) be after a 270 CW rotation?
(-3,7)
Write the algebraic expression for translating (x,y) 2 up and 5 left.
(X-5,y+2)
Where is (-7, 9) when it is reflected over the y-axis?
(7,9)
Rotate (-8, 4) 90 degrees clockwise.
(4,8)
Where is (-8,-2) after a 180 CW rotation?
(8,2)
Where would (-9, -2) be after a 270 CW rotation?
(2, -9)
Translate (3,5) 4 up and 8 to the left. Where is it now?
(-5,9)
Where is (5, -4) when it is reflected over the y-axis?
(-5,-4)
Rotate (6, 6) 90 degrees clockwise
(6, -6)
Where is (3,-5) after a 180 CW rotation?
(-3,5)
Where would (8,8) be after a 270 CW rotation?
(-8,8)