TRANSFORMATIONS by Rose REFLECTION (flip) ROTATION (turn) TRANSLATION (slide)

R R R R R E F L E C T I O N Click to reflect vertically Click to reflect horizontally R Click for next slide

Click to see the reflection Line of reflection Click to see the reflection What you should notice! The blue and red braces are equidistant from the line of reflection. Click for next slide

Look carefully at the labelling of the diagram. reflection D C A hexagon ABCDEF is drawn. Click to see it reflected in the edge AF E B F A B’ D’ C’ A’ E’ F’ Look carefully at the labelling of the diagram. What can you say about F and F’ and A and A’ ? Now draw the hexagon and reflect it in the edge BC. Use pen and paper on the document Transformations.doc Click for next slide

R O T A T I O N A B B’ A’ A B Click to see the rotation of the moon crescent 90o through A Imagine you placed a pin at point A and then turned the crescent in a clockwise direction. clockwise Click for next slide

Click to see the rotation of the green crescent through 1800 B’’ Click again for the next rotation. How many degrees has the yellow crescent been rotated from the original green crescent? Click for next slide

Changing the centre of rotation Click to start The centre of rotation is marked with a red dot. Remember that they both came from this basic shape! Click for next slide

rotation A great way to learn about rotations is to cut out shapes and practice the turns. Download the Word document called Rotations.doc with shapes for you to cut out and turn. Click for next slide

Slide the rectangle 4 units up T R A N S L A T I O N 1st move Click for 1st move Task: Slide the rectangle 4 units up AND 5 units to the right Final position Click for final move Start at a vertex and move from that point (in this case – bottom left)! 5 right 4 up Click for next slide

Slide the rectangle 3 units right translation Click to begin Task: Slide the rectangle 3 units right AND 2 units down 3 right 2 down Click for next slide

Combination transformations Original Original This shape is to be reflected horizontally then rotated 90o Final position 1st position Click to begin 1. Where was the centre of rotation for the figure? 2. Could a different transformation have been used to obtain the same result? Original Final position So this transformed to Click for next slide

Original is coloured yellow Click to see the show again Exercise: What transformation(s) have been used to obtain these shapes? 1. 3. Original is coloured yellow 2. 4. This is the last slide Click to see the show again