Unit 27 Coordinates Presentation 1 Presentation 2 Presentation 3 Positive Coordinates Presentation 2 Coordinates Presentation 3 Plotting Straight Lines Presentation 4 Plotting Curves Presentation 5 Mid-Points of Line Segments Presentation 6 Three-Dimensional Coordinates

Unit 27 27.1 Positive Coordinates

(a) Plot the points A(3, 8), B(6, 1) and C(2, 5) y 9 8 7 6 5 4 3 2 1    D  F  E G  A C B x 1 2 3 4 5 6 7 8 9 (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

Write Down the coordinates for: Lighthouse (7, 1) Shop (-4, 3) y 5 4 3 2 1 -1 -2 -3 -4 -5 -6 Shop Jetty Lighthouse Telephone Box -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 x Cafe Church Lifeboat station Campsite Write Down the coordinates for: Lighthouse (7, 1) Shop (-4, 3) Telephone Box (-4, 1) Jetty (2, 2) Campsite (3, -4) Cafe (-5, -2) On the grids above, what is at the point A (4, -2) Church B(-2, -3) Lifeboat Station ? ? ? ? ? ? ? ?

27.3 Plotting Straight Lines 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 4 3 2 1 -1 -2 -3 -4 -3 -2 -1 1 2 3 4 5 x (C) Draw a straight line through these points.

Unit 27 27.4 Plotting Curves

(A) Complete the table below for the relationship x -3 -2 -1 1 2 3 y 7 ? ? ? ? ? ? ? (B) Plot the points on the grid below, drawing a smooth curve through them y 7 6 5 4 3 2 1 -6 -5 -4 -3 -2 -1 1 2 3 4 x -1 -2 -3

27.5 Mid-Points of Line Segments 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 ? ? 7 6 5 4 3 2 1 ? C B x -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 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 7 6 5 4 3 2 1 ? C B x -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 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 7 6 5 4 3 2 1 ? C B x -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 D

27.5 Three-Dimensional Coordinates Unit 27 27.5 Three-Dimensional Coordinates

y z H G 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) ? ? ? ? ? ? ? ?