Vocabulary
A transformation in which a graph or geometric figure is slid and moved to another location without any change in size or orientation.
What is translation?
Does the x or y-coordinate change when a figure is translated 3 units left.
The x-coordinate
When a figure is reflected over the y-axis, is it a vertical or horizontal reflection?
Horizontal
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?
These specific types of transformations maintain congruency in both angle measures and side lengths. Examples: translations, reflections, and rotations.
What are rigid transformations?
Find the coordinates of A' if segment AB with A(2, 4) and B(-1, 1) is translated 2 units right and 5 units down.
A'(4, -1)
The coordinates of X' when X(-3, 1) is reflected over the x-axis.
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?
This transformation maintains angle measures and creates proportional side lengths amongst corresponding sides.
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 5 units left and 1 unit down.
X'(-5, 2), 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.
M'(6, -4), N'(7, 1), and O'(4, 2)
The point X(4, 6) is rotated clockwise 90 degrees. What is X'?
What is (6, -4)
Find the coordinates of A' and B' when Point A(5,-7) and Point B(4,-6) are transformed in the following sequence of transformations: translated left 3 and up 1, then reflected over the y-axis.
What is A'(-2, -6) and B'(-1, -5)?
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.
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?
What are the three requirements that must be described when discussing a rotation?
Distance (Degrees)
Direction (Clockwise/Counter-clockwise)
Center of Rotation
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)?
This is when a set of translations, rotations, reflections, and dilations is performed on a figure. Hint: this is how we describe multiple steps being applied to a figure.
What is a sequence of transformations?
What is a the translation for when D(-5, 4), E(-4, 1), and F(-2, 1) are translated to D'(-5,0), E'(-4, -3), and F'(-2, -3).
A translation of 4 units down
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 sequence of transformations: translate 6 units right and 5 units down, then rotate counterclockwise 270 degrees.
What is B'(0, -11)?