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SingaporeAdditional MathematicsQuick questions
Coordinate Geometry and Circles
Quick questions on Areas of rectilinear figures explained: O-Level A-Maths
7short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.
What are order matters?Show answer
The vertices must be taken consistently in order around the figure (all clockwise or all anticlockwise). A scrambled order gives a wrong, often self-overlapping, answer.
What is vertices out of order?Show answer
List the corners consistently around the boundary; a wrong order gives a self-crossing shape and the wrong area.
What is not wrapping back to the first vertex?Show answer
The last term must pair the final vertex with the first; omitting it loses a term.
What are sign slips in the products?Show answer
Negative coordinates need careful multiplication; one wrong sign throws off the whole sum.
What is q1?Show answer
Find the area of the triangle with vertices , and . [2 marks]
What is q2?Show answer
Show that , and are collinear. [2 marks]
What is q3?Show answer
Find the area of the triangle with vertices , and . [3 marks]
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