Transcript Slide 1
Name: Target Grade: Translations Translate this shape 4 left and 3 down Translate the object 2 right and 1 up A Grade D B Describe the translation of a) A to B Translate this shape by the vector -4 1 Grade C b) Grade C B to A If I carried out a translation of 1 followed by 2 , describe the resulting image in a single translation. 3 -2 Grade C Reflection Grade E Grade D Reflect the objects in the mirror lines shown. Describe the translation of Reflect the object P in the X axis. Grade E Reflect the object P in the line X=1, and label P’ Grade D Reflection Describe the translation of Reflect the object P in the line Y=X. Grade C Reflect the image P in the line Y=-X followed by a reflection in Grade the X axis. C Describe the reflection shown above. Grade D a) Draw the mirror line on the graph. b) Describe the reflection. Grade C Rotations Rotate the rectangle around the centre of rotation, anticlockwise, 90 degrees Find the centre of rotation Rotate the arrow around the centre of rotation, 1800 Grade C Rotate the object P around the origin 1800 How else can you say rotate 90 degree clockwise? Grade D Grade C Grade D Enlargements Enlarge this rectangle by a scale factor 3 Grade D Enlarge this object by a scale factor of 2 from the centre (1,2) Grade D Enlargements Grade C Enlarge this rectangle by a scale factor of 1 2 Describe the enlargement of: A a) Object A to B b) Object B to A B Grade C If the volume of a cube is 10m3, what would this be in cm3 ? Grade C Rotations Enlargements 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. Translations 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 Reflections Reflections are where you flip over an object. For reflections you need: •An object. •A mirror line. How to reflect an object 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. y 6 5 4 P 3 A B 2 1 –6 –5 –4 –3 –2 –1 O 1 2 3 4 5 6 x –1 –2 –3 –4 –5 –6 (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)