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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.

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Presentation on theme: "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."— Presentation transcript:

1 transformation

2 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

3 A To begin this problem, we need to focus on one corner…any… Now count 4 to the right And count 6 up

4 A Now we know where the X moves to And now we can tell where the rest of the shape must go… A’

5 A The vector to describe this is… A’ ( 4 6 )

6 Find the translation vector for B to B’… () BB’

7 Find the translation vector for B to B’… () BB’

8 Find the translation vector for B to B’… ( 1 6 ) BB’

9 Now the question is to reflect the blue shape in the red mirror line Use a piece of tracing paper to help Reflection

10 Each point is exactly the same distance as before… Use a piece of tracing paper to help

11 Each point is exactly the same distance as before… Use a piece of tracing paper to help

12 Using the red mirror line, find the reflection of shape C… C

13 C

14 C C’

15 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 Rotation

16 Now the question is to rotate the object D Rotation D 180 0 Clockwise About the origin (0,0)

17 Hint…use tracing paper, draw the whole shape, and the centre of rotation, then turn the paper to see how the shape rotates. D D D

18 Now the question is to rotate the object D Rotation D 90 0 Clockwise About the origin (0,0)

19 D Hint…use tracing paper, draw the whole shape, and the centre of rotation, then turn the paper to see how the shape rotates. D D D

20 Now the question is to rotate the object D Rotation D 90 0 Anti-Clockwise About the point (-2,1)

21 Hint…use tracing paper, draw the whole shape, and the centre of rotation, then turn the paper to see how the shape rotates. D D D

22 Now copy a set of axes with y going from -7 to 7, and x going from -4 to 4.

23 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

24 We are asked to enlarge shape E, from (-4,1) with scale factor 3 E

25 First draw your enlargement lines, which will show you where the corners of the enlarged shape must be E

26 Find where the new shape is by counting the distance of each corner of E from the X, then multiplying by 3. E E’

27 Transformation final ( ) 2 5


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