Translations

GradeD

GradeC

Translate this shape by the vector -4

1

Translate this shape 4 left and 3 down

Translate the object2 right and 1 up

Describe the translation of a) A to B

b) B to A

AB

GradeC

Name:Target Grade:

If I carried out a translation of 1 followed by 2 , describe the resulting image in a single translation. 3 -2 Grade C

Reflection

GradeE

Reflect the object P in the X axis.

Reflect the objects in the mirror lines shown.

Describe the translation of

Reflect the object P in the line X=1, and label P’

GradeD

GradeE

GradeD

GradeC

Reflect the object P in the line Y=X.

Describe the translation of

Describe the reflection shownabove.

GradeD

Reflection

GradeC

a) Draw the mirror line on the graph.

b) Describe the reflection. GradeC

Reflect the image P in the line Y=-Xfollowed by a reflection in the X axis.

Rotations

GradeD

GradeC

Find the centre of rotation

Rotate the rectangle around the centre of rotation, anti-clockwise, 90 degrees

Rotate the arrow around the centre of rotation, 1800

How else can you say rotate 90 degree clockwise? Grade D

GradeC

Rotate the object P around the origin 1800

Enlargements

Grade D

Enlarge this object by a scale factor of 2 from the centre (1,2)

Enlarge this rectangle by a scale factor 3

GradeD

Enlargements

Describe the enlargement of:

a) Object A to B

b) Object B to A

Enlarge this rectangle by a scale factor of 1 2

GradeC

GradeC

If the volume of a cube is 10m3, what would this be in cm3 ? Grade C

AB

Rotations

An enlargement is when shapes are similar (angles same etc) but the size has altered.

For an enlargement you need three things:

•Object/ shape.

• Scale Factor - the size of the enlargement (times by distances)

• Centre of enlargement - where you measure the distances from.

When working with the centre of enlargement the position of the enlargement matters.

1) You measure to each corner of your original object going horizontal and vertical.

2) Then multiple each of those distances by the scale factor.

3) Start at the centre of enlargement and move each point the mew distances.

Check

Use your ruler to check your enlargement. You do this by lining up similar corners of the shape to the centre of enlargement to see if they are in line.

Enlargements

Translations are where you slide a shape to a new position.

Vectors are used as a measure of distances in a certain direction [ ].

The Vector

The top number goes across the horizontal.

The bottom number goes up and down the vertical.

3 3 right -2 2 left

-5 5 down 4 4 up

Translations

Reflections are where you flip over an object.

For reflections you need:

•An object.

•A mirror line.

How to reflect an object

Reflections

1) Choose a point (corner) on the image.

2) You measure directly to the line (quickest way- straight line-perpendicular to mirror line)

3) Then from that point on the mirror line move the same distance/direction

on the other side and mark a point.

4) These points are a reflection of each other.

5) Repeat for another point on the image.

16.

(a) On the grid, reflect triangle P in the y-axis. Label the new shape, Q. (1)

The line AB is drawn on the grid.(b) On the grid, reflect triangle P in the line AB. Label the new shape, R. (1)

(Total 2 marks)

x

y

–2–3–4–5–6 –1 1 2 3 4 5 6

6

5

4

3

2

1

–1

–2

–3

–4

–5

–6

O

A BP