5 Margareta has started to reflect the rectangle in the mirror line y = x. a Copy the diagram. b Turn the page so the mirror line is vertical and continue the reflection. c Trace your completed diagram. Fold your diagram along the line y = x. What happens to the image and the object? y 7 y5x Q5 hint Reflect each vertex in the mirror line. 6 5 4 3 2 1 22 21 0 21 1 2 3 4 5 6 7 8 x 22 6 Draw a coordinate grid with x- and y-axes from −8 to 8. a Plot and join the points (−2, 3), (−2, 6), (0, 3), (0, 6). b Draw the line y = −x. c Reflect the shape from part a in the line y = −x. 7 Copy the diagram. Trace the shape. y a To rotate the shape 90° 10 clockwise about (0, 0) hold 8 your pencil on the centre of 6 rotation (0, 0). 4 Rotate the tracing paper 2 clockwise 90°, so the vertical 21028 26 24 22 0 line of the triangle is now 22 horizontal on your tracing. 24 Lift the tracing paper to mark 26 the shape on your grid. 28 b Rotate the shape 90° 210 anticlockwise about (0, 0). c Rotate the shape 180° about (1, 2). d Rotate the shape 90° clockwise about (3, 2). 8 The red triangle has been rotated through 90° clockwise. Which of the points A, B or C is the centre of rotation? 9 Describe the rotation that takes shape A to a shape B b shape C. y 5 Q6 hint Use the method from Q5. 2 4 6 8 10 x Q7b hint Use the method from part a. y 5 Q8 hint Trace the shape and put your pencil on one of the points. Rotate the tracing paper through 90° clockwise. Is the triangle over its image? 4 3 B 2 1 0 21 A 1 C 2 3 4 5 6 7 x 22 23 4 24 3 25 A 2 1 25 24 23 22 21 0 21 B 22 1 25 3 4 5 x Q9 hint 23 24 2 C Rotation, centre (u,u), u° anticlockwise/clockwise. Unit 5 Transformations 120