Constructions between points and lines

Constructions are accurate diagrams drawn using a pair of compasses and a ruler.

When drawing constructions the construction lines must not be rubbed out.

Constructing the perpendicular from a point to a line

curriculum-key-fact
The shortest distance from a point to a line is the perpendicular distance.

Example

Point P and a straight line below it

P is a point above a horizontal line. Construct the perpendicular from point P to the line

Constructing the perpendicular from a point on a line

Example

A straight line with point Q in the middle

Q is a point on a line. Construct a perpendicular at Q