Maths - Triangles in a Co-ordinate System


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When working with triangles in a co-ordinate system, the most important step is?


Drawing a sketch.

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How can you prove that a triangle is right-angled in a co-ordinate system?


Find the gradients of the lines and prove two are perpindicular.

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How can you prove two lines are perpindicular?


Show their gradients multiply to give $-1$.

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How can you prove that a triangle is isoceles in a co-ordinate system?


Show _ two _ lines have the same length.

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What step is often forgotten in proving a triangle is isceles in a co-ordinate system?


Not showing that there is at least one length different from the other two, otherwise it would be equilateral.

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What does the notation $ \vert AB \vert $ represent in terms of co-ordinate systems?


The length of line $AB$.




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