Vocabulary
A transformation in which a graph or geometric figure "slides" to another location without any change in size or orientation.
What is translation?
The vector notation for a figure that is translated 3 units left and no units up or down.
What is <-3, 0>?
The line of reflection that keeps y coordinates the same and changes the sign of the x coordinates.
What is x=0 or the y axis?
The coordinate mapping for a rotation clockwise of 90 degrees.
What is (x,y)-->(y,-x)?
Enlargement or Reduction: Dilation by a factor of 4/3.
What is enlargement?
A Point a figure is rotated about. The origin is most common.
What is center of rotation?
Find the coordinates of A' if segment AB with A(2, 4) and B(-1, 1) is translated by <2, -5>.
What is A'(4, -1)?
The coordinates of X' when XY with X(-3, 1) and Y(-1, 4) is reflected over the x-axis.
What is X'(-3, -1)?
This angle of rotation creates the same image as a rotation 270 degrees clockwise.
What is a rotation 90 degrees counterclockwise?
Determine the transformation rule: B(2, 5) and B'(1, 2.5).
What is (x,y)--> (1/2x, 1/2y)
Dilation is an example; a translation that does not preserve size.
What is non-rigid motion?
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 <-5, 1>.
What is 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 line x=2.
What is M'(6, -4), N'(7, 1), and O'(4, 2)?
This angle of rotation creates the same image if it's rotated clockwise or counterclockwise.
180 degrees
Given A (1,1) and B(3,5) Find the coordinates of A" and B" after the following transformations: translated by <-3, 1>, then reflected over the y axis.
What is A"(2,2) and B"(0,6)
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.
What is 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).
What is y=-1?
This angle of rotation maps (x, y)-->(-y, x).
What is rotation 270 degrees clockwise or 90 degrees counterclockwise?
Find the coordinates of Y' when X(12, 4), Y(8,2) and Z(-4,0) are dilated by a scale factor of 1/4.
What is Y'(2, 1/2)?
A transformations that preserves distance; e.g. reflection, rotation, and translation.
What is a rigid motion?
The coordinate notation when D(-5, 4), E(-4, 1), and F(-2, 1) are translated to D'(-5,0), E'(-4, -3), and F'(-2, -3).
What is (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).
What is x=-3?
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)?
Find the coordinates of B" when A(5, 0), B(5, 5), and C(2,4) undergo the following composition: translate (x, y)-->(x+6, y-5), then rotate counterclockwise 270 degrees.
What is B"(0, -11)?