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Unit 27 Coordinates. Unit 27. 27.1 Positive Coordinates. y. A. C. B. x. (a) Plot the points A(3, 8), B(6, 1) and C(2, 5). (b) What are the coordinates of the following points D (0, 5) E (6, 3) F (6, 5) G (8, 0). ?. ?. ?. ?. Unit 27. 27.2 Coordinates.
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Unit 27 27.1 Positive Coordinates
y A C B x (a) Plot the points A(3, 8), B(6, 1) and C(2, 5) (b) What are the coordinates of the following points D (0, 5) E (6, 3) F (6, 5) G (8, 0) ? ? ? ?
Unit 27 27.2 Coordinates
y Shop Jetty Lighthouse Telephone Box x Cafe Church Lifeboat station Campsite On the grids above, what is at the point A (4, -2) Church B(-2, -3) Lifeboat Station Write Down the coordinates for: Lighthouse (7, 1) Shop (-4, 3) Telephone Box (-4, 1) Jetty (2, 2) Campsite (3, -4) Cafe (-5, -2) ? ? ? ? ? ? ? ?
Unit 27 27.3 Plotting Straight Lines
Complete the following pairs of coordinates for • (4, 2) (1, -1) (-1, -3) • (B) Plot these points on the grid below. ? ? ? y x (C) Draw a straight line through these points.
Unit 27 27.4 Plotting Curves
(A) Complete the table below for the relationship ? ? ? ? ? ? ? (B) Plot the points on the grid below, drawing a smooth curve through them y 0 x
Unit 27 27.5 Mid-Points of Line Segments
What are the coordinates of the mid-point of the line segment AB? The coordinates of A are (2, 7) and of B (5, 3) Hence the coordinates of the mid-point of AB are: Show this point on the diagram ? ? ? ? y A ? ? ? C B x D
What are the coordinates of mid-point of the line segment AC? The coordinates of A are (2, 7) and of C (-5, 3) Hence the coordinates of the mid-point AC are: Show this point on the diagram ? ? ? ? y A ? ? ? C B x D
What are the coordinates of mid-point of the line segment BD? The coordinates of B are (5, 3) and of D (-4, -5) Hence the coordinates of the mid-point BD are: Show this point on the diagram ? ? ? ? y ? ? A ? C B x D
Unit 27 27.5 Three-Dimensional Coordinates
y z G H D C E F A B x If AB = 6, AD = 5 and AE = 2, write down the coordinates of each vertex of the cuboid A (0, 0, 0) B (6, 0, 0) C (6, 5, 0) D (0, 5, 0) E (0, 0, 2) F (6, 0, 2) G (6, 5, 2) H (0, 5, 2) ? ? ? ? ? ? ? ?