Rotate shape A : 90o c/w about the origin and label it ‘a b) 180o c/w about the origin and label it ‘b’ c) 90o anti c/w about the origin and label it ‘c’ d) 90o c/w about the (2,2) and label it ‘d’ e) 90o anti c/w about the (-2,1) and label it ‘e’ f) 90o anti c/w about the (-4,6) and label it ‘f’ g) 90o anti c/w about the (1,8) and label it ‘g’ A 3 4 5 6 7 8 9 10 -9 -8 -7 -6 -5 -4 -3 -10 1 2 -2 -1ĩ Now do these Rotation y-axis x-axis Rotate A :ĩ0o c/w about the origin and label it ‘a’ b)đ80o c/w about the origin and label it ‘b’ 90o counter c/w about the Origin and label it ‘c’ d)ę0o c/w about the (2,2) and label it ‘d’ e)ę0o counter c/w about the (-2,1) and label it ‘e’ f)ę0o counter c/w about the (-4,6) and label it ‘f’ g)ę0o counter c/w about the (1,8) and label it ‘g’ y-axis 1 2 3 4 5 6 7 8 9 10 x-axis -4 -5 -6 -7 -8 -9 -10 -3 -2 -1 x f d x A g a x x e x c bġ0 Rotations Rotate the shape T anticlockwise centreġ 2 3 4 5 6 7 - 8 x y T Rotate the shape T anticlockwise centre T T T What are the new coordinates of the triangle? How can you work them out without drawing a grid or the shape?ġ1 Rotations How to work out the coordinates without drawing a grid or the shape? Rotate the shape T anticlockwise center Explain how to get from the left hand coordinate to the right hand coordinate. Remove the tracing paper and draw the image and label it.Ĩ 90o c/w about the origin and label it ‘a It doesn’t say anticlockwise or counterclockwise so you have to understand that a positive turn is a counterclockwise turnĤ Rotations Rotate the shape T anticlockwise center T T T T T T T y x 1Ģ 3 4 5 6 7 - 8 x y T Rotate the shape T anticlockwise center T T T - 5 T T Tĥ Rotations Rotate the shape T clockwise center T T T T y x 1 2 3 4 5 6ħ - 8 x y T T T Rotate the shape T clockwise center TĦ Rotation In order to rotate an object we need 3 pieces of information Center of rotation Angle of rotation Direction of rotation In order to find the image, using this information it is best to use tracing paper.ħ Rotation Center of rotation Angle of rotation 90oĭirection of rotation clockwise Put a piece of tracing paper over the drawing Copy the object onto the tracing paper A A’ Put a pencil on the tracing paper – point at the centre of rotation X Rotate the tracing paper by the required amount in the specified direction Note the end point of the object. R90 (x,y) Rotate the point (x, y) 90 counterclockwise R-90 (x,y) Rotate the point (x, y) 90 clockwise Notice the angle between the pre-image, the origin & the image is equal to the degree of rotation!Ģ Rotations Rotate the shape T anticlockwise center T T T T y x 1 2 3 4ĥ 6 7 - 8 x y T Rotate the shape T anticlockwise center T T Tģ Example Rotate ABC with points A(1,-1) B(1,-4) C(5,-4) 90° about the origin. A CLOCKWISE rotation is a NEGATIVE rotation. A COUNTERCLOCKWISE rotation is a POSITIVE rotation. A rotation can move in two directions, clockwise or counterclockwise. ROTATIONS A rotation is a transformation that TURNS a figure around the origin (0, 0). Presentation on theme: "R90 (x,y) Rotate the point (x, y) 90 counterclockwise"- Presentation transcript:ġ R90 (x,y) Rotate the point (x, y) 90 counterclockwise
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