1. TRANSFORMATION TRANSLATION ENLARGEMENT ROTATION REFLECTION

2. TRANSLATION A translatio n is a mo vement in a straight line. In mathematics translations are usually used through co ordinates. They are usually written out as column vectors; for e.g. 2 -2 MAIN MENU NEXT ( ) When doing a translation, the object and the image are congruent

3. + + - - THINGS TO REMEMBER ALWAYS THE FIRST # IN THE COORDINANTS IS FOR GOING HORIZNTALLY AND THE SECOND # IS GOING VERTICALLY! PREVIOUS INVERSE MAIN MENU

4. MAIN MENU “ The inverse” would basically mean the opposite or moving backwards. So the Inverse would be…… 2 -2 ( ) ( ) -2 2 For Example

5. ENLARGEMENT The ENLARGEMENT is change in size of a shape. Unlike a translation , when doing an enlargement the object and the image are not congruent . A B C A B C Scale Factor: 2 K REMEMBER! When Describing an enlargement, you must mention these two things: SCALE FACTOR CENTRE OF ENLARGEMENT MAIN MENU INVERSE NEGATIVE ENLARGEMENT

6. INVERSE For the inverse of an “ Enlargement ,” You have to find the reciprocal of the scale factor. For Example.. Scale Factor: RECIPROCAL 1 (HALF) 2 INVERSE= 2 AS AN IMAGE CENTRE OF ENLARGEMENT MAIN MENU ENLARGEMENT NEGATIVE ENLARGEMENT

7. MAIN MENU INVERSE ENLARGEMENT NEGATIVE ENLARGEMENT When dealing with a negative scale factor of an enlargement, the image would appear on the opposite side of the centre of enlargement. 1 2 3 6 1 2 3 4 x y -1 -2 -3 -4 P 4 5 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 Enlargement with scale factor =-2 and centre of origin Co-ordinates of the image=-2 X the co-ordinates of the object. (3,1) ---- (-6,-2) (4,2) ---- (-8,-4) (5,2) ---- (-10,-4) (6,1) ---- (-12,-2) (4,-1)---- (-8, 2)

8. ROTATION A rotation is when the image is turns from a fixed point, which is known as the centre of rotation 0 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 11 In the diagram shown, P is mapped onto Q by a rotation of 90 degrees clockwise, centre R (3,2) P Q R MAIN MENU INVERSE

9. 0 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 11 P Q R INVERSE When dealing with an inverse of a rotation, both the angle and the centre of rotation remain the same; just the turn would be in the opposite direction. The inverse of the previous diagram would be: MAIN MENU PREVIOUS

10. REFLECTION A reflection is when every point of an object moves to the same distance on the opposite side of a fixed line. A B MAIN MENU INVERSE

11. INVERSE The inverse of a reflection would just be reflecting back from where it started. A B

12. COMBINATION TRANSFORMATION A combination transformation is when a number of transformation are combined together.