MA24-03 Maths Coming soon
Constructing a perpendicular to a line from or at a point
MA24-03
This lesson is coming soon.
In this lesson
Construct a perpendicular to a line from a point not on it, or at a point on it, and use this to find the shortest distance from a point to a line.
What it covers
- Compass construction of a perpendicular from an external point to a line
- Compass construction of a perpendicular at a given point on a line
- The fact that perpendicular distance is the shortest distance from a point to a line
- A side-by-side recap contrasting all three constructions in this chapter (perpendicular bisector, angle bisector, perpendicular from a point) so students can identify which one a question wants
For: OCR GCSE J560, AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300
On the specification
| Board | Spec | Statement |
|---|---|---|
| OCR GCSE J560 | 8.02c | Construct the perpendicular from a point to a line. Construct the perpendicular to a line at a point. Know that the perpendicular distance from a point to a line is the shortest distance to the line. |
| AQA GCSE 8300 | G2 | Use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle) |
| Edexcel GCSE 1MA1 | G2 | Use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); use these to construct given figures and solve loci problems; know that the perpendicular distance from a point to a line is the shortest distance to the line |
| Eduqas GCSE C300 | FG2 | Use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); use these to construct given figures and solve loci problems; know that the perpendicular distance from a point to a line is the shortest distance to the line |
| Eduqas GCSE C300 | HG2 | Use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); use these to construct given figures and solve loci problems; know that the perpendicular distance from a point to a line is the shortest distance to the line |
For teachers
This GCSE Maths lesson teaches constructing a perpendicular to a line from or at a point. By the end, students should be able to construct a perpendicular to a line from a point not on it, or at a point on it, and use this to find the shortest distance from a point to a line. It works through two worked examples and the mistakes examiners report.