__maths__>__Construction / Practical Geometry (basics)__>__Secondary Elements of Practical Geometry__### Bisecting an angle

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*