Vocabulary
Moving every point the same distance in the same direction.
What is translation?
The rule for a figure that is translated 3 units left.
What is (x-3, y)?
The rule for if a figure is reflected over the y-axis.
What is (x,y) -> (-x,y)?
This angle of rotation creates the same image if it's rotated clockwise or counterclockwise.
What is a rotation of 180 degrees?
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 x-axis.
What is X'(-3, -1)?
The coordinates of X' when XY with X(-3, 1) and Y(-1, 4) is rotated 90 degrees.
What is X'(-1, -3)?
Taking every point and flipping it over a given line.
What is a 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 rule for a rotation 270 degrees.
What is (x, y)-->(y, -x)
What is a 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'(0, -2), B'(3, 1), and C'(-4, 3).
What is y=x?
This angle of rotation maps (x, y)-->(-y, x).
What is rotation 90 degrees counterclockwise?
Two figures that are the exact same size and same shape.
What is congruent?
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, y-4)?
The line of reflection when X(-4, 0), Y(-2, -2), and Z(0, -8) is reflected to X'(-4, 0), Y'(-2, 2), and Z'(0, 8).
What is x-axis?
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)?