Rotations
What is the coordinate rule for a 90 degree clockwise rotation?
What is (x,y) -> (y,-x)
If you multiply by -1, what happens to the sign of a number?
the sign flips!
The 3 types of Transformations.
What is Reflections, Translations, and Rotations?
What is the coordinate rule for a 180 rotation?
(x,y) -> (-x, -y)
Reflect: M(4, 5), P(1, 2), S(5, 1) over the y-axis.
What is M'(-4, 5), P'(-1, 2), S'(-5, 1)?
The pattern in the sequence 2, 5, 8, 11, 14...
What is add 3?
True or False: the length, angles, and parallel sides all remain the same after a transformation
True
A(-4,6), B(2,6), C(0,8); 90 degrees CCW
What is A'(-6, -4), B'(-6, 2), C'(-8, 0)?
Reflect: (-3, 2) over the x-axis.
What is (-3, -2)?
describe the pattern in the sequence 3, 0, -3, -6, -9...
What is subtract 3?
The two most common types of Reflections.
x-axis and y-axis
A(-2,-2), B(-1,2), C(2,1); 180 degrees CW
What is A'(2,2), B'(1,-2), C'(-2, -1)?
Translate: (0, -2)--right 7
What is (7, -2)?
The change in the sequence -9, -2, 5, 12, 19...
What is add 7?
The common description of Translations.
What is slide?
A(1,1), B(1,3), C(3,1); rotated 90 degrees CW
What is A'(1,-1), B'(3,-1), C'(1,-3)?
Name the Translation: (4, -1)--->(3, -6)
What is 1 left, 5 down?
5x - 2 = 8
What is 2?
How would you describe a rotation?
A turn