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.
What is translation?
(x,y)->(x-3, y+2)
What is B', given B(2, 1)?
What is (-1, 3)
If B(5, 6) is reflected over the x-axis, find the coordinates of B'
What is (5, -6)?
This angle of rotation creates the same image if it's rotated clockwise or counterclockwise.
What is a rotation of 180 degrees?
Enlargement or Reduction: Dilation by a scale factor of 4/3.
What is enlargement?
Operations that alter the form of a figure. Examples: translations, reflections, dilations, and rotations.
What is transformations?
Find the coordinates of A' if segment AB with A(2, 4) and B(-1, 1) is translated by (x+2, y-5).
What is A'(4, -1)?
The coordinates of X' when XY with X(-3, 1) and Y(-1, 4) is reflected over the y-axis.
What is X'(3, 1)?
The rotation that creates the same image as a rotation 270 degrees clockwise.
What is a rotation 90 degrees counterclockwise?
Determine the scale factor: B(2, 5) and B'(1, 2.5).
What is scale factor = 1/2?
A transformation in which each point of the original figure has an image that is the same distance from the line as the original point but is on the opposite side of the line.
What is reflection?
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).
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)?
The coordinate mapping for a rotation counterclockwise of 90 degrees.
What is (x, y)-->(-y, x)
Find the coordinates of A', given A(-2, 3) and a scale factor of k=4
What is A' (-8, 12)?
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 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 transformation that produces an image that is the same shape as the original, but is a different size.
What is dilation?
Find 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).
What is (x, y)-->(x+0, 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) is rotated 90 degrees counterclockwise then dilated with a scale factor of k=2.
What is B'(-10, 10)?