transformation. a we are given a shape on the axis…shape a and we are told to move the whole shape...
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![Page 1: Transformation. A We are given a shape on the axis…shape A And we are told to move the whole shape 4 squares to the right, and 6 squares up translation](https://reader030.vdocuments.mx/reader030/viewer/2022032705/56649d955503460f94a7d670/html5/thumbnails/1.jpg)
transformation
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A
We are given a shape on the axis…shape A
And we are told to move the whole shape 4 squares to the right, and 6 squares up
translation
![Page 3: Transformation. A We are given a shape on the axis…shape A And we are told to move the whole shape 4 squares to the right, and 6 squares up translation](https://reader030.vdocuments.mx/reader030/viewer/2022032705/56649d955503460f94a7d670/html5/thumbnails/3.jpg)
A
To begin this problem, we need to focus on one corner…any…
Now count 4 to the right
And count 6 up
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A
Now we know where the X moves to
And now we can tell where the rest of the shape must go…
A’
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A
The vector to describe this is…
A’
( 4
6)
![Page 6: Transformation. A We are given a shape on the axis…shape A And we are told to move the whole shape 4 squares to the right, and 6 squares up translation](https://reader030.vdocuments.mx/reader030/viewer/2022032705/56649d955503460f94a7d670/html5/thumbnails/6.jpg)
Find the translation vector for B to B’…
( )B
B’
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Find the translation vector for B to B’…
( )B
B’
![Page 8: Transformation. A We are given a shape on the axis…shape A And we are told to move the whole shape 4 squares to the right, and 6 squares up translation](https://reader030.vdocuments.mx/reader030/viewer/2022032705/56649d955503460f94a7d670/html5/thumbnails/8.jpg)
Find the translation vector for B to B’…
( 1
6)B
B’
![Page 9: Transformation. A We are given a shape on the axis…shape A And we are told to move the whole shape 4 squares to the right, and 6 squares up translation](https://reader030.vdocuments.mx/reader030/viewer/2022032705/56649d955503460f94a7d670/html5/thumbnails/9.jpg)
Now the question is to reflect the blue shape in the red mirror line
Use a piece of tracing paper to help
Reflection
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Each point is exactly the same distance as before…
Use a piece of tracing paper to help
![Page 11: Transformation. A We are given a shape on the axis…shape A And we are told to move the whole shape 4 squares to the right, and 6 squares up translation](https://reader030.vdocuments.mx/reader030/viewer/2022032705/56649d955503460f94a7d670/html5/thumbnails/11.jpg)
Each point is exactly the same distance as before…
Use a piece of tracing paper to help
![Page 12: Transformation. A We are given a shape on the axis…shape A And we are told to move the whole shape 4 squares to the right, and 6 squares up translation](https://reader030.vdocuments.mx/reader030/viewer/2022032705/56649d955503460f94a7d670/html5/thumbnails/12.jpg)
Using the red mirror line, find the reflection of shape C…
C
![Page 13: Transformation. A We are given a shape on the axis…shape A And we are told to move the whole shape 4 squares to the right, and 6 squares up translation](https://reader030.vdocuments.mx/reader030/viewer/2022032705/56649d955503460f94a7d670/html5/thumbnails/13.jpg)
Using the red mirror line, find the reflection of shape C…
C
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Using the red mirror line, find the reflection of shape C…
C
C’
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A rotation turns a shape about a fixed point.
This point is called the centre of rotation.
To describe a rotation you need 3 things…
•1) Angle
•2) Direction
•3) The centre
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Now the question is to rotate the object
D
Rotation
D
1800
Clockwise
About the origin (0,0)
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Hint…use tracing paper, draw the whole shape, and the centre of rotation, then turn the paper to see how the shape rotates.
DDD
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Now the question is to rotate the object
D
Rotation
D
900
Clockwise
About the origin (0,0)
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DHint…use tracing paper, draw the whole shape, and the centre of rotation, then turn the paper to see how the shape rotates.
DDD
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Now the question is to rotate the object
D
Rotation
D
900
Anti-Clockwise
About the point (-2,1)
![Page 21: Transformation. A We are given a shape on the axis…shape A And we are told to move the whole shape 4 squares to the right, and 6 squares up translation](https://reader030.vdocuments.mx/reader030/viewer/2022032705/56649d955503460f94a7d670/html5/thumbnails/21.jpg)
Hint…use tracing paper, draw the whole shape, and the centre of rotation, then turn the paper to see how the shape rotates.
DDD
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Now copy a set of axes with
•y going from -7 to 7, and
•x going from -4 to 4.
![Page 23: Transformation. A We are given a shape on the axis…shape A And we are told to move the whole shape 4 squares to the right, and 6 squares up translation](https://reader030.vdocuments.mx/reader030/viewer/2022032705/56649d955503460f94a7d670/html5/thumbnails/23.jpg)
Now the question is to enlarge the object
To do this you need to know two things…how much the shape grows, and where to start from
Enlargements
E
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We are asked to enlarge shape E, from (-4,1) with scale factor 3
E
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First draw your enlargement lines, which will show you where the corners of the enlarged shape must be
E
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Find where the new shape is by counting the distance of each corner of E from the X, then multiplying by 3.
E
E’
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Transformation final
( )25