8 Practical Geometry Lessonplan Vinay

# Instructional Objectives

The students should know and do the following at the end of the topic

• Properties of quadrilaterals – Sum of angles of a quadrilateral is equal to 3600 (By verification).
• Properties of parallelogram (By verification)
• Opposite sides of a parallelogram are equal,
• Opposite angles of a parallelogram are equal,
• Diagonals of a parallelogram bisect each other. [Why (iv), (v) and (vi) follow from (ii)]
• Diagonals of a rectangle are equal and bisect each other.
• Diagonals of a rhombus bisect each other at right angles.
• Diagonals of a square are equal and bisect each other at right angles.
• Five measurements can determine a quadrilateral uniquely.
• A quadrilateral can be constructed uniquely if the lengths of its four sides and a diagonal is given.
• A quadrilateral can be constructed uniquely if its two diagonals and three sides are known.
• A quadrilateral can be constructed uniquely if its two adjacent sides and three angles are known.
• A quadrilateral can be constructed uniquely if its three sides and two included angles are given.

# Teaching process

• Teaching process involves exploring geometrical shapes and understanding the hidden structures with real life examples.
• Construction of quadrilaterals and understanding the procedure behind.

# Activities

• This topic involves extensive geometric constructions with various methods as mentioned above
• Study of geometry through fire alters