Perpendicular to a given line through a given point
I can use the properties of a rhombus to construct a perpendicular to a given line through a given point.
Perpendicular to a given line through a given point
I can use the properties of a rhombus to construct a perpendicular to a given line through a given point.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- A rhombus can be constructed from two congruent isosceles triangles.
- This can be used to construct a perpendicular to a line through a point.
- This perpendicular has special properties that can be investigated.
- Shortest distances can be found using constructions with perpendicular lines.
Keywords
Bisect - To bisect means to cut or divide an object into two equal parts.
Rhombus - A rhombus is a parallelogram where all sides are the same length.
Common misconception
You can't accurately draw the perpendicular to a point on a line segment close to its endpoint.
The perpendicular to a line segment through any point can be found; some line segments just require extending in length first.
To help you plan your year 8 maths lesson on: Perpendicular to a given line through a given point, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Perpendicular to a given line through a given point, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
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The assessment exit quiz will test your pupils' understanding of the key learning points.
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Explore more key stage 3 maths lessons from the Constructions unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Starter quiz
6 Questions



a -
A bisector to line segment QV
b -
A perpendicular to line segment QV
c -
A perpendicular bisector to line segment QV
d -
An intersecting line to line segment QV



Exit quiz
6 Questions






14 cm -
the shortest distance from X to an extension of JK
15 cm -
the shortest distance from X to line segment JK
17 cm -
the radius of circle with centre at point X
28 cm -
the shortest distance from X to point J