Terms and Definitions
Scale Factor
New image
Proportional or not?
Transformations Review
100
A transformation that changes the size but not the shape of a geometric figure
What is dilation?
100
Preimage: (2, 2)
Image: (5, 5)
What is 2.5?
100
Preimage: (6, 2) Scale factor: 1/2
What is (3, 1)
100
Preimage: (1, 10)
Image: (10, 1)
No
100
The algebraic rule (x, y) -> (x-3, y) is for which type of transformation?
What is Translation
200
The algebraic rule (x, y) -> (2.5x, 2.5x) is what type of transformation?
What is dilation? (enlargement)
200
Preimage: (7, 8)
Image: (56, 64)
What is 8?
200
Preimage: (13, 8)
Scale factor: 2
What is (26, 16)
200
Preimage: (6,8) Image: (9,12)
If "No" change one number so they ARE proportional.
Yes
200
The algebraic rule (x, y) -> (-x, y) is what kind of transformation?
Reflection - over the y-axis
300
Describes how much larger or smaller the image of a dilation is than the pre image
What is scale factor?
300
Preimage: (6, 3)
Image: (2, 1)
What is 1/2?
300
Preimage: (27, 37)
Scale factor: 2
What is (54, 74)
300
Preimage: (42, 49)
Image: (6, 7)
Yes
300
If a polygon starts in quadrant I and is rotated 90 degrees counterclockwise, what quadrant will the image end up in?
Quadrant II
400
A dilation is a transformation that enlarges or ________________ an image.
reduces
400
Preimage: (46, 37)
Image: (23, 18.5)
What is 1/2?
400
Preimage: (28, 40) Scale factor: 1/4
What is (7,10 )
400
Yes
Scale factor = 3
400
If a polygon is in quadrant III and is rotated 180 degrees clockwise, what quadrant will the image be in?
Quadrant I
500
A dilation is a ________ that changes the ________ but not the shape of a geometric figure.
transformation, size
500
r = 5/3 or 1 2/3
500
Preimage: (27, 9) Scale factor: 3 1/3
What is (90, 30)
500
Preimage: (7, 8) Image: (56, 63)
If "No", change one number so that they will be proportional.
No
Preimage (7,8) Image (56,64)
500
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). Show the preimage and the dilated image on a graph and identify the new coordinates
A'=(1,4), B'=(-2,1), C'=(2,-2)