Day 4 Worksheet Dilations.notebook
February 16, 2016
Geometry PAP
Worksheet Dilations
Name: ______________________
Date: ______________Per: _____
2. Determine whether the dilation from B to B' is an enlargement or a reduction. Then find the scale factor of the dilation and x.
1. Use the ruler to draw the image of the figure under a dilation with center M and the scale factor k indicated. ____________________
S. F __________
x = __________
Graph the image of each polygon with the given vertices after a dilation centered at the origin with a scale factor of 2. Then graph a dilation centered at the origin with a scale factor of 1/2. 4. D﴾­2, 0﴿, G﴾0, 2﴿, F﴾2, ­2﴿
3. J﴾2, 4﴿, K﴾4, 4﴿, P﴾3, 2﴿
Using the given scale factor and center, dilate the following figures and state the new coordinates.
Scale Factor: 3; Center: ‘A’
Scale Factor: 2; Center: ‘T’
Scale Factor: ½ ; Center: N
T
S
N
R
M
C
O
B
aslkjfi
A
5. 6. 7. M’(______, _______)
B’(______, ______)
S’(______, ______)
C’(______, ______)
R’(______, ______)
O’(______, ______)
8. Triangle A'B'C' is the image of triangle ABC after a dilation. Use a straight edge to find the center of dilation and the scale factor of the dilation.
Center of dilation _________________
Scale Factor ________________
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Day 4 Worksheet Dilations.notebook
February 16, 2016
____________________
____________________
S. F __________
S. F __________
____________________
____________________
S. F __________
S. F __________
____________________
____________________
S. F __________
S. F __________
7. Point A has coordinates A﴾2, 1﴿. What is the distance between point A and its final image after a reflection in the y­axis and a dilation centered at the origin with a scale factor of 2? Round to the nearest tenth.
10. You drew triangle JKL on a coordinate plane and then applied a composition of two transformations to produce triangle MNP.
8. You plots the point A﴾1, 3﴿. Then you translate it along <­2, ­1> and dilate the images using a dilation centered at the origin with a scale factor of 3. What are the coordinates of the final image?
F ﴾2, 5﴿
J ﴾­6, ­3﴿
G ﴾­1, 2﴿
K ﴾­3, 6﴿
H ﴾1, 8﴿
Which statement appears to be true?
9. Segment JK has endpoints J﴾2, 4﴿ and K﴾6, 2﴿. You dilate the segment using a dilation centered at the origin with a scale factor of 1/2 and then reflect the image in the x­axis. What is the midpoint of the final image?
A ﴾2, ­1.5﴿
C ﴾2, 1.5﴿
B ﴾­2, 1.5﴿
D. ﴾1.5, 2﴿
A The transformations included a dilation with a scale factor of 1/2.
B
C You used only rigid motions.
D. The area of triangle MNP is 2 times the area of triangle JKL.
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