Vocabulary
What is a preimage?
The original
Which direction is the preimage moving?
(x,y)->(x+2, y)
2 units right
What value stays the same when reflecting over the x-axis?
The x
A transformation with a translation and
then a reflection in a line parallel to the
direction of the translation
Glide Reflection
What is a transformation?
Moves or changes a figure
Is the preimage moving up or down?
(x,y)-> (x+2, y-3)
down
When reflecting over the line y=x, what happens to the coordinate points?
They switch (x,y)->(y,x)
What are the coordinates of A'' after the glide reflection?
A (1,-2)
(x,y)-> (x+2,y)
Reflected over the x-axis
A'' (3,2)
What is a translation?
Moves a figure up, down, left, or right
Describe the translation.
(x,y)-> (x-3, y+4)
3 units left
4 units up
What are the coordinates of the new image after a reflection over the y-axis?
A (2, -3)
A' (-2, -3)
What are the coordinates of A'' after the glide reflection?
A (-2, 3)
(x,y)-> (x-1,y+2)
Reflected over the y-axis
A'' (3,5)
What is isometry?
A congruent transformation
What is the new image after the translation?
A (-7, 3)
(x,y)-> (x+2, y+2)
A' (-5, 5)
What are the coordinates of the new image after a reflection over line y=x?
A (-4, 3)
B (2, -1)
C (0,0)
A' (3, -4)
B' (-1, 2)
C' (0,0)
What are the coordinates of A'' after the composite transformation?
A (1, -4)
Reflected over line y=x
(x, y)-> (x+2, y-3)
A'' (-2, -2)
Any two transformations combined to form a
single transformation is a what?
Composition of Transformations
What was the preimage?
A' (4, 5)
(x,y)-> (x+2, y-3)
A (2, 8)
What are the coordinates of the new image after reflecting over the line y=-x?
A (-1, 4)
B (5, -3)
C (-3, -2)
A' (-4, 1)
B' (3, -5)
C' (2, 3)
What are the coordinates of A'' after the composite transformation?
A (-4, -3)
Reflected over line y=-x
(x,y)-> (x-3, y+1)
A'' (0, 5)