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Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.
mathsConstruction / Practical Geometry (basics)Secondary Elements of Practical Geometry

### Perpendicular through a point on a line

In this page, a short and to-the-point overview of constructing a perpendicular through a point on a line is provided.

click on the content to continue..

Which of the following have sides or edges that are perpendicular?

• protractor
• set squares
• set squares

Given line bar(AB) and a point P on the line. Place the vertex of perpendicular edges of a set-square with one edge on the given line bar(AB). Construct the line along the other perpendicular edge of the set-square.

Perpendicular through a point on a line : Use the perpendicular edges of a set square, one edge on the given line and the perpendicular-vertex on the given point. Construct a line along the other perpendicular edge.

Which of the following methods can be used to construct a perpendicular through a point on a line?

• method to construct perpendicular bisector using a compass
• method to measure 90^@ angle using a protractor
• either one of the above
• either one of the above

The answer is "either one of the above"

Perpendicular through a point on a line : Use a compass to mark points L and M on the line that are in equal distance from the given point P. Construct the perpendicular bisector of bar(LM).

Perpendicular through a point on a line : Place the protractor with origin on the given point and the base-line on the given line. Mark a point on 90^@ angle and draw a line through the given point and the marked point.

slide-show version coming soon