Dilation
Similarity Statements
Scale Factor
Grab Bag!!
100
If ABC was dilated from the origin to create A'B'C', what was the scale factor? 
Scale factor: 2
100
Similar figures have the SAME Shape but Different _______?
side lengths
100
Which rule represents the dilation of a figure by a scale factor of 5 that is centered at the origin?
A (x, y) --> ((1/5)x, (1/5)y)
B (x, y) --> (5x, 5y)
C (x, y) --> (x + 5, y + 5)
D) (x, y) --> (x - 5, y - 5)
B
100
Dilations can result in a congruent figure if their scale factor is this number.
1
200
If ABC was dilated from the origin to create A'B'C', what was the scale factor?
Scale factor: 3
200
The corresponding ______ ______of two similar triangles are congruent.
angle measures
200
Determine the scale factor, k:
Pre-image: (7, 8) Image: (56, 64)
k=8
200
The ____________ of a dilation is the ratio of a length in the image to the corresponding length in the pre-image.
scale factor
300
If Figure A was dilated from the origin to create Figure B, what was the scale factor?
Scale factor:
5/2
300
Complete the similarity statement:
Triangle RQP ~ Triangle TUV
300
One rectangle is 3 inches by 7 inches. Another is 12 inches by 29 inches. Are they Similar?
No
300
Pre-image: (6, 3) Image: (2, 1)
Determine the scale factor, k.
k = 1/3
400
If PQR were dilated from the origin by a scale factor of 5/3 to create P'Q'R', what would be the coordinates of Q'? 
Q'(5, 5/3)
400
If ABCD ~ GHIJ, which side in GHIJ corresponds to side BC?
side HI
400
K'(36, 9) is the image of K after a dilation about the origin with a scale factor, k=3. What are the coordinates of K?
K (12, 3)
400
Determine whether these points represent a dilation about the origin.
Preimage: (48, 384) Image: (1, 7)
no
500
ABCD is the image of PQRS after a dilation from the origin with a scale factor of 2, what the coordinates of R? 
R(-1, 0.5) or R (-1, 1/2)
500
Complete the similarity statement:
DCB ~ WVU
500
Wade uses function notation (x, y) → (0.25x, y) to describe a dilation in the coordinate plane with its center at the origin and scale factor 0.25. Is he correct? Explain.
no, the scale factor must be applied to both the x- and y- coordinate.
500
Q
scale factor 2, P1 =17 units P2 = 34 units