Page 131 - Mathematics Coursebook

13.1 Plotting coordinates

) Exercise 13.1

1 Write down the coordinates of the points D, E, F and G.
y
G 5
4
D
3
2
1
0 x
–5 –4 –3 –2 –1 1 2 3 4 5
–1
–2
–3
E F

2 a Write down the coordinates of the points P and Q.
y
2 Q
1
0 x
–2 –1 –1 1 2 3 4 5
–2
–3
P
–4

b M is the mid-point of P and Q.
Write down the coordinates of M. The mid-point of PQ is halfway between P and Q.
3 a On a coordinate grid, plot the points (−2, 4) and (−2, 0).
Join them with a line.
b Work out the coordinates of the mid-point of the When you are asked to plot points, always
line. start by drawing a coordinate grid on squared
paper. You will need to work out how far to
4 a On a coordinate grid, plot the points (6, −1) number the axes, depending on the maximum
and (2, −5). Join them with a line. values of your variables.
b Work out the coordinates of the mid-point
of the line.

5 a On a coordinate grid, plot and join the points (0, −2) and (−6, 0).
b Work out the coordinates of the mid-point.

6 Three corners of a rectangle are at (3, 5), (3, −3) and (−4, −3). In questions like these, you will need
a Plot these points and draw the rectangle. to draw the coordinate grid fi rst.
b Find the coordinates of the fourth corner.

7 The four corners of a square are the points (3, 3), (5, −3), (−1, −5) and (−3, 1).
a Draw the square.
b Draw the diagonals of the square.
c Find the coordinates of the centre of the square.

8 a Draw the quadrilateral with corners at (5, 2), (3, −2), (−3, −2) and (−1, 2)
b What is the name of this quadrilateral? Draw the diagonal.
c Find the coordinates of the centre of the quadrilateral.

130 13 Graphs