Parallel and Perpendicular Lines GCSE revision and worksheets

You may be looking to revise perpendicular line rules for your GCSE Maths exams or you may have a difficult parallel and perpendicular lines homework coming up; do not panic, we have many resources to help you out. If you are want to revise the perpendicular angle rules such as corresponding angles, alternate angles and vertically opposite angles then select our revision test. If you want to test your knowledge of perpendicular lines then either select a worksheet or an online test.

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What you need to know

What you need to know:

Two lines are called parallel if they have the same gradient. On a graph, two parallel lines will appear as two lines that never meet. Two lines are called perpendicular if they are right angles to each other.

You are required to understand these terms (they appear in a few different places), and be able to apply them when discussing straight line graphs. You should be able to use the straight line equation y = mx + c (and the equation must be in this form) to determine if two lines are parallel. Similarly, you may be expected to extract the gradient of a new line from the fact that it is parallel to another line, about which there is information given in the question.

For the higher course, you should be able to determine if two lines are perpendicular also. The rule for this is: if you have the gradients of two lines, multiply them together, and obtain the answer -1, then your two lines are perpendicular. Another way of expressing this is to say: if m is the gradient of a line, then a line that is perpendicular to it will have gradient \frac{-1}{m}.

If you are looking for perpendicular lines revision notes and practice questions then you have arrived on the right page. The perpendicular and parallel line resources on this page can be used by Maths teachers and tutors everywhere to support your pupils learning. If you are interested in the other GCSE Maths resources we also offer then visit our GCSE Maths revision page.

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