Vocabulary
A transformation in which a graph or geometric figure is picked up and moved to another location without any change in size or orientation.
Translation
The rule for a figure that is translated 3 units left.
(x, y) -> (x-3, y)
The equation for the line of reflection if a figure is reflected over the y-axis.
x=0
This angle of rotation creates the same image if it's rotated clockwise or counterclockwise.
rotation of 180 degrees
Operations that alter the form of a figure. Examples: translations, reflections, dilations, and rotations.
Transformations
Find the coordinates of A' if segment AB with A(2, 4) and B(-1, 1) is translated right 2 and down 5.
A'(4, -1)
The coordinates of X' when XY with X(-3, 1) and Y(-1, 4) is reflected over the x-axis.
X'(-3, -1)
The rotation that creates the same image as a rotation 270 degrees clockwise.
**think direction**
What is a rotation 90 degrees counterclockwise?
The transformation that ends with a mirror image over the x axis.
Find the coordinates of X', Y', and Z' when triangle XYZ with X(0,3), Y(3, -2), and Z(4,0) is translated by left 5 and up 1.
X'(-5, 4), Y'(-2, -1), and Z'(-1, 1)?
The coordinates of M' when triangle MNO with M(-2, -4), N(-3, 1), and O(0, 2) is reflected over the line x=2.
M'(6, -4)
The rule for a rotation clockwise of 90 degrees.
What happens to the x,y coordinates?
What is (x, y)-->(y, -x)
A transformation in which a plane figure turns around a fixed center point.
What is rotation?
Find the coordinates of M' and N' when MN with M(-4, -1) and N(-3, -3) is translated 5 units right and 2 units up.
M'(1, 1) and N'(2, -1)
The line of reflection when A(-2, 0), B(1, 3), and C(3, -4) is reflected to A'(-2, -2), B'(1, -5), and C'(3, 2).
y=-1
What rotation does not switch the (x, y) coordinate values
Rotation of 180
A transformations that begins in the first quadrant and ends upside down in the third quadrant
Rotation of 180 degrees
What is the rule when D(-5, 4), E(-4, 1), and F(-2, 1) are translated to D'(-5,0), E'(-4, -3), and F'(-2, -3).
(x, y)-->(x, y-4)
The line of reflection when X(-4, 0), Y(-2, -2), and Z(0, -8) is reflected to X'(-2, 0), Y'(-4, -2), and Z'(-6, -8).
x=-3
Find the coordinates of A' and B' when A(-3, -2) and B(-1, 2) are rotated clockwise 180 degrees.
A'(3, 2) and B'(1, -2)