Symmetries and Translations

Published in 2008 by
Junior Certificate School Programme Support Service
Curriculum Development Unit
Captains Road
Crumlin
Dublin 12
Phone:01-453 5487
Fax: 01-453 7659
Email: [email protected]
Website www.jcsp.ie
jcspliteracy.ie
Copyright © Junior Certificate School Programme Support Service
The Junior Certificate School Programme and the JCSP Literacy and Numeracy Strategy
is funded by the Teachers Education Section Department of Education and Science and
the European Social Fund.
The Junior Certificate School Programme is a national Programme sponsored by the
Department of Education and Science and the National Council for Curriculum and
Assessment.
Written by: Jerry McCarthy
Designed by: Mary Clare Higgins
Symmetry and
Translations
Workbook
Junior Certificate School Programme Support Service
Contents
Chapter 1
Axial Symmetry
Page 3
Chapter 2
Central Symmetry
Page 15
Chapter 3
Translations
Page 22
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Chapter 1
Axial Symmetry
1.Draw the image of this rectangle under Axial Symmetry in the line L
L
2. Find the image of this rectangle under Axial Symmetry in the line L
L
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3.
Draw the image of this rectangle under Axial Symmetry in the line L
L
4. Find the image of this rectangle under Axial Symmetry in the line L
L
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4
5.
Draw the image of this rectangle under Axial Symmetry in the line L
L
6. Find the image of this rectangle under Axial Symmetry in the line L
L
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7.
Draw the image of the rectangle abcd under Axial Symmetry in the line dc
a
b
d
c
8. Find the image of the rectangle abcd under Axial Symmetry in the line bc
a
b
d
c
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9.
Draw the image of the rectangle abcd under Axial Symmetry in the line ad
a
b
d
c
10. Find the image of the rectangle abcd under Axial Symmetry in the line ab
a
b
d
c
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11. Draw the image of the object under Axial Symmetry in the line L
B
L
12.Find the image of the object under Axial Symmetry in the line L
M
L
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13. Draw the image of the object under Axial Symmetry in the line L
P
L
14. Find the image of the object under Axial Symmetry in the line L
L
Y
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15, Draw the image of the object under Axial Symmetry in the line L
Z
L
16. Find the image of the object under Axial Symmetry in the line L
Q
L
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17. Draw the image of the object under Axial Symmetry in the line L
5
L
18. Find the image of the object under Axial Symmetry in the line L
7
L
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19. Draw the image of the object under Axial Symmetry in the line L
L
20. Find the image of the object under Axial Symmetry in the line L
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21. Draw the image of the object under Axial Symmetry in the line L
L
22. Find the image of the object under Axial Symmetry in the line L
L
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23. Draw the image of the triangle abc under Axial Symmetry in the line bc
a
b
c
24. Find the image of the triangle abc under Axial Symmetry in the line ab
a
b
Junior Certificate School Programme Support Service
c
14
Chapter 2
Central Symmetry
1. Draw the image of the rectangle abcd under Central Symmetry in the point c
a
b
d
c
2, Find the image of the rectangle mncd under Central Symmetry in the point d
m
n
d
c
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3. Draw the image of the rectangle abdc under Central Symmetry in the point a
a
b
c
d
4. Find the image of the rectangle abyx under Central Symmetry in the point b
a
b
x
y
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5. Draw the image of the triangle acb under Central Symmetry in the point c
a
b
c
6. Find the image of the triangle axy under Central Symmetry in the point a
a
a
y
x
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7. Draw the image of the triangle abc under Central Symmetry in the point c
b
a
c
8. Find the image of the triangle acb under Central Symmetry in the point c
a
b
c
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9. Draw the image of the triangle acb under Central Symmetry in the point b
a
b
c
10. Find the image of this diamond under Central Symmetry in the point b
b
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11. Draw the image of this arrow under Central Symmetry in the point b
b
12. Find the image of this arrow under Central Symmetry in the point b
b
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13. Find the image of this heart under Central Symmetry in the point b
b
14. Draw the image of this heart under Central Symmetry in the point b
b
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Chapter 3
Translations
→
1. Draw the image of this rectangle under the translation ab
a
b
c
d
→
2. Draw the image of this rectangle under the translation bd
a
b
c
d
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→
3. Draw the image of this rectangle under the translation pn
m
n
o
p
→
4. Draw the image of this rectangle under the translation mf
a
b
f
m
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→
5. Draw the image of the triangle abc under the translation cb
a
c
b
→
6. Draw the image of the triangle abc under the translation bc
a
c
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b
24
→
7. Draw the image of the triangle abc under the translation ac
a
c
b
→
8. Draw the image of the triangle abc under the translation bc
a
c
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b
25
→
9. Draw the image of the triangle acb under the translation ac
a
b
c
→
10. Draw the image of the triangle abc under the translation ba
a
c
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b
26
→
11. Draw the image of the parallelogram abcd under the translation ab
a
d
b
c
→
12. Draw the image of the parallelogram abcd under the translation cd
a
d
Junior Certificate School Programme Support Service
b
c
27
→
13. Draw the image of the parallelogram abcd under the translation bc
a
b
d
c
→
14. Draw the image of the parallelogram abcd under the translation da
a
d
b
c
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→
15. Draw the image of the diamond abcd under the translation ad
b
a
c
d
→
16. Draw the image of the diamond abcd under the translation ab
b
a
c
d
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