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 ?