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Streak :3 d:- 3. You may have seen these hazardous substance warning symbols in the science lab. 'W'hich symbols have line symmetry? How many lines of symmetry? 3'} bl a] . . 15 Reflections and Line Symmetry 35? Apply 3. State the number of lines ofsymmetry in each design. at a tessellation created by M.C. Escher 4. Identify the lines of symmetry in each tessellation. a] 5. Copy each polygon on grid paper. It is It} a Haida button blanket onehalf ofa shape. Use the red line as a line of symmetry to complete the shape by drawing its other half. Label the shape with the coordinates of its yertices. a} 1'. Inclement Few: a} Draw a triangle on a grid. 1;} Choose one side of the triangle as a line of reection. ii Draw the reection image. Iii Label the vertices of the shape formed by the original triangle and its image. ill] Write the coordinates of each vertex. M How many lines of symmetry does the shape have? cl Repeat part b for each ofthe other two sides of the triangle. Do you always get the same shape? Explain. d} Repeat parts a to n: for different types of triangles. it} Which types of triangle always produce a shape that is a quadrilateral with line symmetry? Justify your answer. bl 12. To help calculate the distance PQ across a 14. The foot of a ladder is 3 m from the base river, Emil drew the diagram below based of a wall. The ladder just touches the top of on measurements he made. What is the a 1.4-m fence that is 2.4 m from the wall. distance across the river? How high up the wall does the ladder reach? How do you know? P 110 m River R 20 m T ADS 15 m 1.4 m 2.4 m Take It Further 3.0 m 13. Phillipe places a mirror M on the ground 6.0 m from a tree. When he is 1.7 m from 15. In the diagram below, how high are the two the mirror, he can see the top of the tree in supports x and y for the conveyor belt? the mirror. His eyes are 1.5 m above the ground. The diagram below shows the equal angles. How can you use similar triangles to determine the height of the tree to the 16 m nearest tenth of a metre? X 12 m 15 m 18 m 1.5 m 1.7 m M 6.0 m