Translations
When you translate a shape vertically, which direction are you moving it?
What is up or down?
When you reflect across the x-axis, which coordinate value changes?
What is the y-coordinate?
What happens when you dilate a shape on a graph?
It enlarges or reduces not changing the shape but changing the size
What happens when you rotate an image around the origin?
It will turn either clockwise or counterclockwise
What is a coordinate plane?
A graph with and x and y axis
When you translate a shape horizontally, which direction are you moving it?
What is left or right?
When you reflect across the y-axis, which coordinate value changes?
What is the x-coordinate?
When you dilate a shape by a factor <1 does it get bigger or smaller?
What is smaller?
Rotate the point (1,3) 90 degrees clockwise
(3,-1)
What is a coordinate?
A point in the coordinate plane?
How was the following point translated?
(-3,2) ---> (-3,8)
6 units up
How has this point been reflected?
A= (3,2)
A'=(3,-2)
Reflected over the x-axis
When you dilate a shape by a factor >1 does it get bigger or smaller?
What is bigger?
Rotate the point (1,3) 180 degrees clockwise
(-1, -3)
What is a pre-image?
A shape on the coordinate plane before any transformations are applied to it
How was the following points translated?
(3,7), (2,6) ---> (-4,7),( -5,6)
7 units left
How has the following points been reflected?
A= (1,4) A'=(-1,4)
B= (3,-4) B'= (-3,-4)
It has been reflected over the y-axis?
How has the following points been dilated?
A= (1,2) A'= (2,4)
B=(1,8) B'=(2,16)
C= (6,2) C'= (12,4)
Factor of 2
Rotate the point (-4, 2) 270 degrees clockwise
(-2, -4)
What is a new-image?
A shape on the coordinate plane after transformations are applied to it
How were the following points translated?
(0,0),(0,4),(4,0),(4,4) ---> (-2,-2),(-2,2),(2,-2),(2,2)
left 2 and down 2
How has the following points been reflected?
A= (6,6) A'=(-6,6)
B= (6,0) B'=(-6,0)
C= (0,0) C'=(0,0)
D=(0,6) D'=(0,6)
Reflected over the y-axis
How has the following points been dilated?
A= (16,24) A'=(4,6)
B=(4,4) B'=(1,1)
C= (4,24) C'=( 1, 6)
D=(16,4) D'= (4,1)
Factor of 1/4
Triangle ABC has vertices A(-4, 1), B(-1, 4), and C (-2, 1). Graph the figure and its image after a counterclockwise rotation of 180 degrees about the origin. Then give the coordinates of the new image of triangle A'B'C'
A' (4, -1)
B' (1, -4)
C' (2, -1)
The different types of transformations we have learned
Translations, Dilations, Rotations & Reflections