Vocabulary
This is the type of transformation that slides an object a fixed distance in a given direction, without changing its size or shape.
What is a translation?
When a figure is translated to the left or right, this coordinate changes
What is the x-coordinate?
When a figure is reflected over the x-axis, this coordinate changes sign
What is keep the x coordinate and change the y coordinate to its opposite (x,-y)?
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 an enlargement?
These are operations that alter the form of a figure. Examples: translations, reflections, rotations, and dilations.
What are transformations?
Find the coordinates of A' if segment AB with A(2, 4) and B(-1, 1) is translated 2 units to the right and five units down
What is A'(4, -1)?
This is 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 rotation that creates the same image as a rotation 270 degrees clockwise would be this many degrees counterclockwise
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 is the type of transformation that occurs when you flip a figure over a 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 five units to the left and 1 unit up
What is X'(-5, 4), Y'(-2, -1), and Z'(-1, 1)?
This is the image point B' when the point B (2,-5) is reflected over the y-axis.
What is B'(-2, -5)
Any coordinate (x,y) turns into this for a rotation clockwise of 90 degrees about the origin
What is (x, y)-->(y, -x)
This is the length of line segment OP' after a dilation by scale factor 3, when line segment OP = 4cm.
What is 12cm?
This is a transformation in which a plane figure turns around a fixed center point.
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 coordinates of M', N', and O' when triangle MNO with M(-2, -4), N(-3, 1), and O(0, 2) is reflected over the y axis.
What is M'(2, -4), N'(3, 1), and O'(0, 2)? (-x,y)
If A(4, -3) rotates and A' is (-3, -4), what is the rotation and what is the center of rotation?
90 degrees clockwise about the origin
This is the coordinates of X' when X(12, 4), Y(8,2) and Z(-4,0) are dilated by a scale factor of 1/4.
What is X'(3, 1)?
This is always true about the relationship between the pre-image and image after any sequence of rigid transformations
Both figures are CONGRUENT.
What is the translation when D(-5, 4), E(-4, 1), and F(-2, 1) are translated to D'(-5,0), E'(-4, -3), and F'(-2, -3).
4 units down
The equation for the line of reflection if a figure 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 90 degrees about the origin
What is A'(-2, 3) and B'(2, 1)?
Given the points G(1.5, 3) G'(3,6). Find the scale factor.
What is 2?