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 algebraic formula for a figure that is translated 3 units left.
x-3, y
A reflection does not change the shape or size of a figure, but it does change its ________________
Orientation
This angle of rotation creates the same image if it's rotated clockwise or counterclockwise.
180 degrees
Formula for a translation 4 units down and 5 to the right
(x+5, y-4)
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 by 2 to the right and 5 down
(4, -1)
The coordinates of X' when XY with X(-3, 1) and Y(-1, 4) is reflected over the x-axis.
(-3, -1)
The rotation that creates the same image as a rotation 270 degrees clockwise.
90 degrees counterclockwise
Formula for a translation 9 units up
(x, y+9)
The direction or placement of a figure, not related to size or shape.
Orientation
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 x-5, y+1
X'(-5, 4), Y'(-2, -1), and Z'(-1, 1)?
The coordinates of M', N', and O' when triangle MNO with M(-2, -4), N(-3, 1), and O(0, 2) is reflected over the y-axis.
M'(2,-4), N'(3,1), and O'(0,2)
What is the formula for a rotation counterclockwise of 90 degrees?
What is (x, y)-->(-y, x)
Formula for a reflection across the y axis
(x,y)-->(-x,y)
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 2 units up and 5 units right.
M'(1, 1) and N'(2, -1)?
A reflection across the Y-axis can be done algebraically using what formula?
(x,y) -> (-x,y)
If point A (0,-4) is rotated 90 degrees clockwise, what is its new location?
(-4,0)
Formula for a rotation of 180 degrees
(x,y)-->(-x,-y)
The vertical line that forms the center of a coordinate plane.
Y-axis
Write an algebraic formula that is true if 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)?
If a pre-image is entirely in quadrant I, and is then reflected over the x-axis, in which quadrant will the image be placed?
IV
Find the coordinates of A' and B' when A(-3, -2) and B(-1, 2) are rotated clockwise 180 degrees.
What is A'(3, 2) and B'(1, -2)?
If triangle ABC has points A (-3,2), B (-5,-6) and C (0,7), what formula would transform it to points A' (0,5), B' (-2,-3) and C' (3,10)?
(x+3, y+3)