Construction of cyclic quadrilateral

Objectives
Ability to construct a cyclic quadrilateral accurately.

Estimated Time
40 minutes.

Prerequisites/Instructions, prior preparations, if any

 * 1) Laptop, geogebra file, projector and a pointer.
 * 2) Students constructing materials, the geometry box.
 * 3) white papers.

Materials/ Resources needed
Sufficient knowledge regarding construction of perpendicular lines, bisectors, angles and circle.

http://www.matrusrieppower.net/Constructionoftriangleandcyclicquadrilateral.html.

Process (How to do the activity)

 * 1) The teacher can do this activity after introducing the concept and properties of cyclic quadrilateral.
 * 2) She can project the file and let students watch it carefully.
 * 3) After watching discuss the steps of construction and the purpose of each step so that the students can appreciate the sequence of construction steps.
 * 4) Then ask the students to actually construct a cyclic quadrilateral for the given measures.
 * Developmental Questions:
 * 1) What is a cyclic quadrilateral ? Why is it called so ?
 * 2) Name the measuring parameters of it ?
 * 3) What measures are given for its construction ?
 * 4) Explain the steps involved in determing the radius of the required circle ?
 * 5) What do the measures of the arcs specify ?
 * Evaluation:
 * 1) Were the students able to justify the sequence of steps involved ?
 * Question Corner:
 * 1) Can you draw a circle first and then the quadrilateral ? Why not so ?