Master P101 Check P117 Strengthen P119 Test P127 extend 5 Extend You will: • Extend your understanding with problem-solving. 1 Copy the diagram. a Reflect shape A in the line y = x. Label the image B. b Rotate shape B through 90° anticlockwise about the origin. Label the image C. c Describe the reflection that will take shape C to shape A. y 10 8 6 4 A 2 28 26 24 22 2 a Draw a grid with x- and y-axes from −8 to 8. b Plot and join the points (5, 1), (7, 1), (8, 1.5), (7, 2), (5, 2). c Reflect the shape in the line y = x. d Reflect the image in the y-axis. e Reflect the image in the line y = −x. f Reflect the image in the x-axis. g Reflect the image in the line y = x. h Reflect the image in the y-axis. i Reflect the image in the line y = −x. j How many lines of symmetry does your final diagram have? 3 STEM Greenhouse gases slow down or prevent the loss of heat from the Earth. These are models of two different greenhouse gases. How many planes of symmetry does each molecule have? Nitrogen trifluoride (NF3) a Ozone (O3) b 4 a Draw a grid with x- and y-axes from −7 to 7. b Plot and join the points (−2, 1), (−7, 1), (−5, 3) and (−3, 3). c Work out the area of the shape. d Translate the shape by 4 . −6 e Reasoning Write down the area of the new shape. 123 0 2 4 6 8 10 x Q1b hint The origin is the point (0, 0).