The best study guide for mastering Coordinate Geometry for your IGCSE tests. It consists of diagrams, notes, formulas, questions, and examples to make it easy for you do learn, understand and practice. It covers all corners of Coordinate Geometry to make sure you ace your test. The notes align seam...
Complete Math Coordinate
Geometry IGCSE NOTES (Updated
Syllabus Version)
What are coordinates?
A number line is useful because it lets you represent a single number.
Here are the numbers 5, 2, 0, −3 and −4.
Now imagine that you take two number lines. You keep one running horizontally
and turn the other so that it runs vertically. They cross at 0 on each number line
and form a two-dimensional grid.
If you want to represent a point on that grid, then you can use a pair of numbers
called coordinates. For example, the coordinates (3, 4) represent a point on the
grid as shown.
,The grid is called a Cartesian plane. It has two intersecting lines:
an x-axis, which runs horizontally
a y-axis, which runs vertically
The two axes meet at the origin, which is represented by (0, 0) on the grid.
,For the pair of coordinates (3, 4):
The coordinate 3 means 'move 3 units to the right along the x-axis from the
origin.'
The coordinate 4 means 'move 4 units up the y-axis from the origin.'
Negative coordinates
Negative coordinates can also be shown on the Cartesian plane.
For example, C(−6, −1) is represented by the point 6 units to the left of the origin
and 1 unit down from the origin.
, This Cartesian plane shows the positive and negative coordinates in the different
regions of the grid.
Shapes on a Cartesian plane
Which of these sets of coordinates describes a rectangle?
a) A(3, 2), B(−2, 2), C(−2, −1), D(3, −1)
b) A(3, 2), B(−2, 2), C(−2, 1), D(3, −1)
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller mandyigcse93. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $0.00. You're not tied to anything after your purchase.
