Opm1501 All Previous Assignments And Question Papers With Memorandums

Tutorial Letter 501/0/2019/2020/2021


Orientation to Intermediate Phase Mathematics



OPM1501



Year module



Department of Mathematics Education

,Name : Score :
Teacher : Date :

Transformations
ccw = counterclockwise

o o
1) Rotation: 180 about the origin 2) Rotation: 90 ccw about the origin
Y^ Y^
5 5




...
4 4

3 3

2 2

1 1

< -5 > < -5 >
.. .. ... .
-4 -3 -2 -1 1 2 3 4 5X -4 -3 -2 -1 1 2 3 4 5X
-1 -1

-2 -2


.. -3

-4
-3

-4

-5 -5
V V




3) Translation: 3 left and 4 up 4) Reflection: Across the y-axis
Y^ Y^
5

4
5

4 . .
. .
3 3

2 2

1 1

< -5 -4 -3 -2 -1 1 2 3 4 >
5X < -5 -4 -3 -2 -1 1 2 3 4 >
5X
-1 -1

-2

-3 . . -2

-3

-4

-5
V
. . -4

-5
V




5) Reflection: Across the x-axis 6) Translation: 5 down
Y^
. Y^
5

4
5
. 4

3

2 . 3

2

1 1

< -5 > < -5 >
-4 -3 -2 -1
.. . .
-1
1 2 3 4 5X -4 -3 -2 -1
-1
1 2 3 4 5X


-2

-3.. . . -2

-3

-4 -4

-5 -5
V V



Math-Aids.Com

, Name : Score :
Teacher : Date :

Transformations
ccw = counterclockwise

o o
1) Rotation: 180 about the origin 2) Rotation: 90 ccw about the origin
Y^ Y^
5
. .. . 5

4
. . . . 4

3
. .. .. . 3

2

1 . . 2

1

< -5 > < -5 >
.. .. ... .
-4 -3 -2 -1 1 2 3 4 5X -4 -3 -2 -1 1 2 3 4 5X
-1 -1

-2 -2


.. -3

-4
-3

-4

-5 -5
V V




3) Translation: 3 left and 4 up 4) Reflection: Across the y-axis
Y^ Y^
5

4 . 5
. . . 4

3
. . . . 3


. . 2

1
2

1

< -5 > < -5 >
-4 -3
. .
-2 -1
-1
1 2 3 4 5X -4 -3 -2 -1
-1
1 2 3 4 5X




. . -2

-3
-2

-3


. . -4

-5
V
-4

-5
V




5) Reflection: Across the x-axis 6) Translation: 5 down
Y^
. Y^
5

4.. . . 5
. 4

3

2 .. . . . 3

2



<.
1 1

< -5 > >
-4 -3 -2 -1
-1 .. . .1 2 3 4 5X -5 -4 -3 -2
.
-1
-1
1 2 3 4 5X


-2

-3 .. . . . -2

-3

-4 -4

-5 -5
V V



Math-Aids.Com