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Syllabus Content

Equations of perpendicular bisectors

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

• Gradient of a Line Practise the skill of finding the gradients of straight lines by counting squares and dividing rise by run.
• Perpendicular Bisector Video A step-by-step guide showing how to construct the perpendicular bisector of a line segment.
• Equation of Line through Points Video A short video showing how to find the equation of a line that passes through given points.
• Equation of a Line Through Points Match the equations of the straight line graphs to the clues about gradients and points.

Here are some exam-style questions on this statement:

• "Show that line \(5y = 7x - 7\) is perpendicular to line \(7y = -5x + 55\)." ... more
• "A is the point (-5, -9) and B is the point (10, 1)." ... more
• "The vertices of quadrilateral ABCD are A (2, 4), B (-1, 5), C (–3, 4) and D (–2, 2)." ... more

See all these questions

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

• Graphs This topic includes algebraic and statistical graphs including bar charts, line graphs, scatter graphs and pie charts. A graph is a diagram which represents a relationship between two or more sets of numbers or categories. The data items are shown as points positioned relative to axes indicating their values. Pupils are typically first introduced to simple bar charts and learn to interpret their meaning and to draw their own. More sophisticated statistical graphs are introduced as the pupil's mathematical understanding develops. Pupils also learn about coordinates as a pre-requisite for understanding algebraic graphs. They then progress to straight line graphs before learning to work with curves, gradients, intercepts, regions and, for older pupils, calculus.