Lesson 18 · Coordinate Geometry

Coordinate Geometry

MathematicsSubject
8 minEstimated read
1Plot these coordinates on squared paper and join the points one after another. Name the shape that is formed: \( (4, 4) \), \( (-4, 4) \), \( (-4, -4) \) and \( (4, -4) \).
2What shape is formed when \( (0, 6) \), \( (-6, 0) \) and \( (6, 0) \) are plotted and joined?
3Find the area of the shape formed by joining \( (6, 0) \), \( (6, 7) \) and \( (0, -2) \).
4Which shape is formed by joining \( (8, 9) \), \( (4, 9) \), \( (6, 2) \) and \( (2, 2) \), and what is its area?
5Which shape is formed by joining \( (0, 9) \), \( (5, 9) \), \( (0, -2) \) and \( (5, -2) \), and what is its area?
6Which of the shapes above has the largest area?
7Taking one corner of the classroom as the origin, how would you write down your own place and your friends' places as coordinates?
8Say which quadrant or which axis each of these points lies on: \( (7, 3) \), \( (-5, 2) \), \( (-4, -9) \), \( (6, -1) \), \( (0, 8) \), \( (-7, 0) \).
9Are \( (5, 6) \) and \( (6, 5) \) the same point? Give your reason.
10Why are the coordinates of the origin \( (0, 0) \)?
11Three vertices of a rectangle are \( (2, 1) \), \( (7, 1) \) and \( (7, 5) \). What are the coordinates of the fourth vertex?
12What can be said about the coordinates of a point that lies on the X-axis?