Drawing a Perpendicular from the End Point of a Line
How to draw a perpendicular line from the end point of the line
What You Start With
Shown above is a line of any length and a point P on the end of the line. The point P can also be on the other side of the line. The line can also be at any angle for this principle to work.
The Theory Behind How It Works
To start off we pick a random point 'A'
Proof:
Proof:
- The reason that this method works is because by taking the distance PA as the radius means that the distance from CB is the diameter of the circle.
- We already know that if a triangle has one side as the diameter and the third vertex anywhere on the circumference of the circle, then the triangle will always be a right-angled triangle.
- Therefore line PC is perpendicular to line PB as required.
Alternate Method:
An alternative way of completing the questioning is by extending the given line and use the method previously explained in the section 'Perpendicular to a line on a point'
Click the link below to see this explained in more detail.
An alternative way of completing the questioning is by extending the given line and use the method previously explained in the section 'Perpendicular to a line on a point'
Click the link below to see this explained in more detail.