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(i) Plot points A (0, 3), B (2, 3), C (3, 0), D (2, -3), E (0, -3)(ii) Reflect points B, C and D on the y axis and name them as B', C' and D'respectively.(iii) Write the co-ordinates of B', C' and D'.(iv) Write the equation of line B' D'.(v) Name the figure BCDD'C'B'B |
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Answer» GIVEN points: A (0, 3), B (2, 3), C (3, 0), D (2, -3), E (0, -3). i)Plot points A (0, 3), B (2, 3), C (3, 0), D (2, -3), E (0, -3) = Plotted in graph attached. ii) Reflect points B, C and D on the y axis and name them as B', C' and D' respectively. Reflecting on x-axis will change the sign of x-coordinate of that point. So, Reflection of B(2,3) on y-axis = B'(-2,3). Reflection of C(3,0) on y-axis = C'(-3,0). Reflection of D(2,-3) on y-axis = D'(-2,-3). Points are plotted in graph attached. iii) Co-ordinates are B'(-2,3), C'(-3,0) , D'(-2,-3). iv) Equation of line B'D': B' = (-2, 3) , D' = (-2,-3) Slope of line = (y₂ - y₁) / (x₂ - x₁) or, m = -3-3 / -2-(-2) or, m = -6 / 0 or, m = not defined Therefore, Equation of line B' D' is not defined. |
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