Rotations
What is the rule for rotating 180 degrees?
Change the signs based on quadrant.
Which directions does x move?
Left and right.
What is the rule for reflecting over the y-axis?
Change sign of x coordinate.
Where does the next transformation apply?
The newest set of coordinates.
A (3,4) (x+2) (y-7) reflect over y-axis
(-5,-3)
What are the rules for rotating 90 degrees?
swap x and y then change the signs based on quadrants.
If point J is located at (5,8) translate 2 units right and 4 units up. What is point J'?
J' (7,12)
If angle A measures at 40 degrees then reflects over the y-axis will the measurement change?
No!
determine what the sequence of transformation took place from the pre-image to the image.
reflection
(1,10) reflect over x axis, then add (x-13) (y+20)
(-12,10)
If point A (-5,3) and you rotate 180 what is A'
(5,-3)
Write the Translation using x and y: left 3 up 6
(x-3) (y+6)
Reflect (4,36) over the x-axis
(4,-36)
(2,15) reflect over x axis, then add (x-13) (y+20)
(-11,5)
(-7,3) rotate 90 degrees counterclockwise, then reflect over x axis
(-3,7)
rotate (3,5) 90 degrees clockwise
(5,-3)
(4,3) (x+7) (y-10)
(11,-7)
What do you do when reflecting over the y-axis?
Change sign of x
(10,1) reflect over x axis, then add (x-13) (y+20)
(-3,19)
(1,-3) rotate 180, reflect over y axis, then add (x+3) (y-5)
(4,-2)
do you switch x and y when doing a 180 rotation counterclockwise?
no
A(20,-30) to A'(14,25) what happened to make the image?
(x-6)(y+55)
If you're in the 4th quadrant and you reflect over the y-axis what quadrant are you in?
3rd quadrant
(1,2) rotate 180 degrees then reflect over y
(1,-2)
If you take (20,-3), reflect over x axis, then rotate 90 degrees counterclockwise, then reflect over y axis, what quadrant will you land in?
1st quadrant