Initial Diagnostic Audit - Unit G1: Coordiantes
Section G1.1 - Positive Coordinates
1. Write down the coordinates of each of the points shown in the diagram below.

(a) A   (,)

(b) B   (,)

(c) C   (,)

2. On the grid, plot the points with the following coordinates.

(2,4), (7,4), (6,2), (1,2)

Click on the grid to plot on a point. Click on the point again to remove it.
3. On the grid, plot the points with the following coordinates.

(4,0), (3,2), (5,4), (7,2), (6,0)

Click on the grid to plot on a point. Click on the point again to remove it.
Section G1.2 - Coordinates
4. Write down the coordinates of each of the points shown in the diagram below.

(a) A   (,)

(b) B   (,)

(c) C   (,)

5. On the grid, plot the points with the following coordinates.

(-5,-3), (1,-1), (0,2), (-6,0)

Click on the grid to plot on a point. Click on the point again to remove it.
6. Three corners of a square have coordinates (4,2), (-2,2) and (4,-4).
What are the coordinates of the fourth corner?   (,)
Section G1.3 - Plotting Straight Lines
7. A straight line has equation y = 2x – 1.
Complete the following pairs of coordinates that are on this line.

(a) (4,)

(b) (,-5)

(c) Does the point (2,5) lie on the same straight line?

8. On the grid, plot the points (0,6), (1,4), (2,1), (3,0)

Click on the grid to plot on a point. Click on the point again to remove it.

(a) Three of the four plotted points lie on the same straight line.
      What are the coordinates of the point that does NOT lie on the same line?    (,)

(b) What point, with x-coordinate -3, does lie on this line?    (-3,)

Section G1.5 - Midpoints and Line Segments
9. The diagram shows the points A, B and C.

What are the coordiantes of the midpoints of these straight lines?

(a) AB   (,)

(b) BC   (,)

(c) CA   (,)

The midpoint of AB is labelled D and the midpoint of BC is labelled E.

(d) What are the coordinates of the midpoint of the straight line DE?   (,)

Section G1.6 - Three-Dimensional Coordinates
10. The diagram shows a cuboid.


The coordinates of A are (5,3,2)

What are the coordiantes of

(a) B   (,,)

(b) F   (,,)

(c) E   (,,)

11. The diagram shows a tetrahedron.

If AB = 4, CA = 5 and AD = 4,what are the coordiantes of

(a) B   (,,)

(b) C   (,,)

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Produced by Russell Geach for CIMT - June 2013