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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.

In this page, a short and to-the-point overview of constructing a bisector to a given angle, is provided.

click on the content to continue..

What is a kite?

• a quadrilateral with two pair of equal and adjacent sides
• a quadrilateral with two pair of equal and adjacent sides
• not a quadrilateral

The answer is "a four sided figure with two pair of equal and adjacent sides"

A kite has the following properties  •  two pair of equal sides

•  major diagonal perpendicularly bisects the minor diagonal. the diagonal that divides the kite into two congruent triangles is called major. The other diagonal is the minor diagonal.

•  major diagonal bisects the angles at the vertices

•  two equal opposite angles and two unequal opposite angles -- all sum up to 360^@

Which of the following geometrical properties help to bisect a given angle?

• major diagonal of a kite bisect the angles at both vertices
• major diagonal of a kite bisect the angles at both vertices
• diagonals of a square bisect the angles at vertices

The answer is "major diagonal of a kite bisect the angles at both vertices"

Given angle /_BAC, a kite AQRP is formed.  •  With an arbitrary measure on compass, mark points P and Q from the point A.

•  With another arbitrary measure on compass, construct arcs from points P and Q. These two arcs cut at point R.

The quadrilateral AQRP is a kite and the line bar(AR) is the major bisector of angle /_BAC.

Bisecting an Angle : Using the two rays of the angle, create a kite such that the major diagonal bisects the angle.

slide-show version coming soon