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?
The rule for translating a point 5 units left and 3 units up.
What is (x, y) --> (x - 5, y +3)?
The quadrant point N(-2, -5) will be in after being reflected over the x-axis and then over the y-axis.
What is quadrant I?
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 rule for a rotation of 270 degrees clockwise.
What is (x, y)--> (-y, x)?
The transformation that does not result in a figure that has the same shape and same size.
What is a dilation?
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 image of R(-16, 159) after a rotation clockwise of 90 degrees.
What is R'(159, 16)?
Find the coordinates of A" and B" after the following transformations: (x, y) --> (x -3, y + 1), then reflected over y=-2.
What is A"(-2, -8) and B"(-1, -5)?
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, 0), B'(1, -3), and C'(3, 4).
What is the x-axis?
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)?
The phrase used to describe transformations that do not change in shape or size.
What is preserves congruency?
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 equation of the line of reflection if it is reflected over the y-axis.
What is x=0?
Find the coordinates of A' and B' when A(-3, -2) and B(-1, 2) are rotated clockwise 270 degrees.
What is A'(2, -3) and B'(-2, -1)?
Find the coordinates of B" when A(5, 0), B(5, 5), and C(2,4) undergo the following composition: (x, y)-->(x+6, y-5), then rotate counterclockwise 270 degrees.
What is B"(0, -11)?