Transformations I - Geometric Translations Worksheet
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1Transformations I - Translations
10
D
9
8
7
E
B
6
5
4
A
3
2
1
C
-12
-11
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
9 10
11
12
-1
-2
-3
-4
1) This question refers to the diagram above. Using a column vector, state what transformation would take:
(a) A onto B
(b) A onto E
(c) A onto D
(d) A onto C
(e) C onto E
(f) E onto C
(g) B onto E
(h) E onto A
2) Draw x and y axes numbered from -12 to 12 on each axis. Plot the quadrilateral B with vertices at (3,2), (6,3), (5,5) and (3,4).
Draw and label the following triangles:
−8
3
P: the image of B after translation
Q: the image of B after translation
−6
5
−6
3
R: the image of B after translation
S: the image of B after translation
−1
2
3) Draw x and y axes numbered from -12 to 12 on each axis. Draw the triangle T with vertices at (-1, -2), (3, -2) and (3, -4).
(a) Draw and label the following triangles:
−5
7
P: the image of T after translation
Q: the image of T after translation
−2
6
−5
7
R: the image of P after translation
S: the image of Q after translation
−2
6
7
−5
−5
7
(b) Does
followed by
have the same effect as
followed by
?
−2
−2
6
6
7
−5
(c) What single translation would have the same effect as
followed by
?
−2
6
(d) How could you have got the answer to (c) without even needing to draw a diagram? Can you make a rule which tells you the
a
c
followed by
?
combined effect of any two translations
b
d
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