What is a rotation?
A rotation is a transformation in which the object is rotated about a fixed point. The direction of rotation can be clockwise or anticlockwise.
What is a translation?
A translation is when a figure is moved from one location to another location without changing its size, shape, or orientation.
What is a dilation?
A transformation that changes the size of a figure.
What is a reflection?
A reflection is the flipping of a point or figure over a line of reflection (mirrored image)
What are the rotation coordinates for
90° CW/CCW
270° CW/CCW
180° CW/CCW
90° CW/270° CCW: (y, -x)
90° CCW/270°CW: (-y, x)
180° CW/CCW: (-x,-y)
1. Reflection over the y-axis goes from (x,y) to ____
2. Reflection over the x-axis goes from (x,y) to ____
1. (-x,y)
2. (x,-y)
What is the new point of (1,8) after a rotation of 180° counterclockwise about the origin?
A) (-1,8)
B) (8,-1)
C) (8,1)
D) (-1,-8)
D) (-1,-8)
Determine the coordinates of ABC and A'B'C' and find the scale factor.
A (2,1) A' (6,3)
B (5,1) B' (15,3)
C (3,6) C' (9,18)
Scale factor = 3
(2,1) x3 (6,3)
(5,1) x3 (15,3)
(3,6) x3 (9,18)
1. Reflection over y=x goes from (x,y) to ____
2. Reflection over y=-x goes from (x,y) to ____
1. (y,x)
2. (-y,-x)
What is the new point if (0,-2) rotates 90° counterclockwise about the origin?
(2,0)
(7,5) reflected over y=-x is
A) (7,5)
B) (-5,-7)
C) (5,7)
D) (-7,5)
B) (-5,-7)
The coordinates trade places and sign change
If you rotate the point (4, 2) 90 degrees counterclockwise and then rotate it again, 180 degrees clockwise what will your new point be?
(2, -4)
If you reflect A, B, C, and D over the y-axis what are your points now?
Original points:
A (-2, 2) B (-2, 6) C (-6, 2) D (-6, 6)
A (2, 2) B (2, 6) C (6,2) D (6,6)