translations
DESCRIPTION
Name: Target Grade:. Translations. Translate this shape 4 left and 3 down. Translate the object 2 right and 1 up. Grade D. A. B. Describe the translation of A to B B to A. Grade C. Translate this shape by the vector -4 1. Grade C. - PowerPoint PPT PresentationTRANSCRIPT
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