Skip to content 1 In moving from A(3, 4) to D(7,
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2 Can these distances help you find the distance AD?
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3 What has remained the same and what has changed with this reflection?
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4 Would these observations be the same if ADM is reflected in the x-axis (instead of the y-axis)?
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5 What are the x-coordinate and y-coordinate of the point of intersection of the two axes?
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6 Point W has x-coordinate equal to -5.
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7 Consider the points R (3, 0), A (0, -2), M (-5, -2) and P (-5, 2).
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8 Are the points M (-3, -4), A (0, 0) and G (6, 8) on the same straight line?
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9 Use your method (from Problem 6) to check if the points R (-5, -
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10 Use the connection you found to find the coordinates of B given that M (-7,
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11 Let P, Q be points of trisection of AB, with P closer to A, and Q closer to B.
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12 Using the origin as one vertex, plot the vertices of:
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13 The following table shows the coordinates of points S, M and T.
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14 (A) Given the points A (1, -8), B (-4, 7) and C (-7, -4), show that they lie on a circle K whose centre is the origin O (0, 0).
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15 The midpoints of the sides of triangle ABC are the points D, E, and F.
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16 A city has two main roads which cross each other at the centre of the city.
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17 A computer graphics program displays images on a rectangular screen whose coordinate system has the origin at the bottom-left corner.
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18 Plot the points A(2, 1), B(-1, 2), C(-2, -1), and D(1, -2) in the coordinate plane.
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19 Plot point Z(5, -6) on the Cartesian plane.
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20 What would a system of coordinates be like if we did not have negative numbers?
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21 In the given figure, Reiaan's room is shown with points OABC marking its corners.
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22 On a graph sheet, mark the x-axis and y-axis and the origin O.
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23 What are the standard widths for a room door?
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24 Are the doors in your school suitable for people in wheelchairs?
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25 What is the x-coordinate of a point on the y-axis?
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26 Is there a similar generalisation for a point on the x-axis?
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27 Does point Q(y, x) ever coincide with point P (x, y)?
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28 If x ≠ y, then (x, y) ≠ (y, x); and (x, y) = (y, x) if and only if x = y.
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