Vocabulary
Translations
Rotations
Reflections
Dilations
100
What is the original figure before a transformation?
preimage
100
What is the definition of a Translation?
Slide
100
What is the definition of a Rotation?
Turn
100
What is the definition of a Reflection?
Flip, mirror image
100
What is the definition of a Dilation?
The image is getting bigger or smaller
200
The image produced when an image is enlarged
dilation
200
When translating a figure, it must continue to stay the same _________ and __________. This means the image and preimage are ___________.
size and shape
congruent
200
Clockwise is going which direction?
Counter-clockwise is going which direction?
C: Right
CC: Left
200
What is the general rule for a reflection?
X-axis: (x,y)-> (x,-y)
Y-axis: (x,y)-> (-x,y)
200
What is the vocabulary word for when an image is getting bigger? What is the vocabulary word for when an image is getting smaller?
Bigger- Enlargement
Smaller- Reduction
300
The transformation used when a figure is moved without turning it
translation
300
Give translation notation to describe the translation.
(x,y)->
(x,y)->(x,y-7)
300
What is the general rule for a Rotation?
C CC
90 (y,-x) 270
180 (-x,-y) 180
270 (-y,x) 90
300
(x,y)->(x,-y)
300
What is the rule for a Dilation?
(x,y)-> (kx,ky)
*Always multiply*
400
When a mirror image is produced by flipping a figure over a line
reflection
400
Give in translation notation.
(x,y)->
(x,y)->(x+5,x+3)
400
The rule (x,y)->(-y,x) is used. What is happening?
C 270, or CC 90
400
The image is using the rule (x,y)->(x,-y). What is happening?
Reflection over the x axis
400
Give the coordinates for Point T after a dilation with scale factor of 7.
S (2, 5)
S' (14, 35)
500
an operation that maps one figure onto another new figure
transformation
500
Translate the figure 3 down 2 units to the right. Give the points of the image.
(x,y)->(x+2,y-3)
P' (3, -1)
R' (3, 1)
S' (5, 1)
T' (6, -1)
500
(3,2)
(5,7)
(-1,0)
(-2,-3)
CC 270
(2,-3)
(7,-5)
(0,1)
(-3,2)
500
Flip over the x-axis. Give the points of the image.
Q' (-4, -9)
R' (-1, -7)
S' (-3, 2)
P' (-6, 4)
500
What is happening to the image? What is the scale factor?
Enlargement. 3/2