Terms and Definitions
A transformation that changes the size but not the shape of a geometric figure
What is dilation?
Preimage: (10,5) and Image: (2,1)
What is 1/5?
Preimage: (8, 4) Scale factor: 10
What is (80,40)?
Preimage: (3, 15), Image: (9, 45)
Yes
Algebraic rule (x, y) -> (x-3, y) is for which type of transformation?
What is Translation?
Describes how much larger or smaller the image of a dilation is than the pre image
What is scale factor?
Preimage: (7, 8) Image: (56, 64)
What is 8?
Preimage: (4, 3) Scale factor: 5
What is (20,15)?
Preimage: (3, 15), Image: (15, 3)
Not
The algebraic rule (x, y) -> (-x, y) is what kind of transformation?
Reflection - over the y-axis
A dilation is a ________ that changes the ________ but not the shape of a geometric figure.
transformation, size
M(6, 3) and M'(2, 1)
What is 1/3?
Preimage: (27, 37) Scale factor: 2
What is (54, 74)?
Preimage: (7, 8) Image: (56, 63)
Not
If a polygon starts in quadrant I and is rotated 90 degrees counterclockwise, what quadrant will the image end up in?
Quadrant II
True or false: dilation is how large an image is after it is enlarged or reduced.
False
T(2, 2) and T'(5, 5)
What is 2.5?
Preimage: (9, 15) Scale factor: 1/3
What is (3, 5)?
Preimage: (6,8) Image: (9,12)
If "Not Proportional" change one number so they ARE proportional.
Yes
If a polygon is in quadrant III and is rotated 180 degrees clockwise, what quadrant will the image be in?
Quadrant I
A dilation is a transformation that ________________ or ________________ an image.
enlarges, reduces
S'(161.1, 107.4) and S(53.7, 35.8)
What is 3?
Preimage: (27, 9) Scale factor: 3 1/3
What is (90, 30)?
Preimage: (7, 8) Image: (56, 63)
If "NOT proportional", change one number so that they will be proportional.
Not Proportional
change: Preimage (7,8) Image (56,64)
A triangle with points: A=(2,8), B=(-4,2), C=(4, -4) is dilated by a scale factor of 1/2 (The origin is the center of dilation). Identify the new coordinates
A'=(1,4), B'=(-2,1), C'=(2,-2)