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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.continue

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



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What is a kite?kite introduction

  • 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 propertieskite introduction  •  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?bisecting an 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.bisecting an angle  •  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.bisecting an angle

                            
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