A transformation in which a graph or geometric figure is picked up and moved to another location without any change in size or orientation AKA a slide
Translation
Write the rule for a figure that is translated 3 units left.
(x-3, y)
Which direction does a point or geometric figure flip when reflected across the x-axis?
Upside-down
What is the rule for a rotation of 180 degrees?
(-x,-y)
Enlargement or Reduction: Dilation by a scale factor of 4/3.
Enlargement
A transformation in which a graph or geometric figure is flipped across a line or axis AKA a flip
Reflection
Find the coordinates of A' if segment AB with A(2, 4) and B(-1, 1) is translated with the rule (x+2, y-5).
A'(4, -1)
Which direction does a point or geometric figure flip when reflected across the y-axis?
Sideways/ side to side / mirror
What is the rule for a rotation 90 degrees clockwise or 270 degrees counterclockwise?
(y,-x)
Determine the scale factor: B(2, 8) and B'(1, 4).
1/2
The transformation in which a graph or geometric figure is turned around a fixed point AKA a turn.
Rotation
Find the coordinates of Y' when triangle XYZ with X(0,3), Y(3, -2), and Z(4,0) is translated with the rule (x-5, y+1).
Y' = (-2, -1)
Over what axis is this shape flipped?
x-axis
What is the rule for a rotation 270 degrees clockwise or 90 degrees counterclockwise?
(-y,x)
Find the coordinates of A' if A (1,3) is enlarged by a scale factor of 3
A' = (3,9)
A transformation in which the size of a geometric figure is enlarged or reduced
Dilation
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)
What are the coordinates of X' when X(-3, 1) is reflected over the x-axis.
X' = (-3,-1)
What are the coordinates of A' after a 90 degree clockwise rotation?
A' = (4,-2
Find the coordinates of Y' when X(12, 4), Y(8,4) and Z(-4,0) are dilated by a scale factor of 1/4.
Y' = (2, 1)
Operations that alter the form of a figure. Examples: translations, reflections, dilations, and rotations.
Transformation
What is the rule for the points D(-5, 4), E(-4, 1), and F(-2, 1) that are translated to D'(-5,0), E'(-4, -3), and F'(-2, -3).
(x, y-4)
What are the coordinates of M' and G' when M (1,-5) and G (2,-7) is reflected over the x-axis?
M' = (1,5) G' = (2,7)
Find the coordinates of A' and B' when A(-3, -2) and B(-1, 2) are rotated clockwise 180 degrees.
A' = (3, 2) and B' = (1, -2)?
What is the scale factor?
3