# Quadrilaterals are fascinating geometric shapes with unique properties. Engage your high school students or homeschooling children in fun and interactive activities to deepen their understanding of quadrilaterals. In this blog post, we will explore four exciting activities that can be easily implemented with minimal materials.

In plane geometry, a polygon with four side and and four vertices.
There are 2 types of quadrilaterals
In quadrilateral which all the four internal  angles is less than or equal to 180 is called convex Quadrilateral
In quadrilaterals at least one of the angles in 4 internal angels  is greater than180 is called concave quadrilateral.

# Activity 1: Properties of Scalene Trapezium vs. Isosceles Trapezium

## Materials Required:

• Foam board
• Small hard straw pieces
• Transparent paper
• Alphabets (paper cutouts or stickers)
• protractor
##### Procedure:
• Begin by creating a quadrilateral board. Take the foam board and mark a grid pattern on its surface.
• Similarly, create a transparent paper with holes in a grid form.
• Assign alphabets to each hole on the transparent paper, representing the vertices of the quadrilaterals.
• Insert the hard straws into the foam board to match the positions of the holes on the transparent paper.
• Use the thread to connect the needles and form both a scalene trapezium and an isosceles trapezium.
• Observe and discuss the differences and similarities between the two shapes, focusing on their properties and side lengths.

## Materials Required:

• Quadrilateral board from Activity 1
• protractor
##### Procedure:
• Utilize the quadrilateral board created in Activity 1.
• Position the threads on the board to form both a kite and a rhombus.
• Encourage students to observe and compare the properties of these two quadrilaterals.
• Discuss the distinctions and commonalities between kites and rhombuses, emphasizing their angles and side lengths.

## Materials Required:

• Quadrilateral board from Activity 1
• protractor
##### Procedure:
• Reuse the quadrilateral board prepared in Activity 1.
• Manipulate the threads on the board to create both a parallelogram and a rectangle.
• Facilitate a discussion on the varying attributes and shared characteristics of these quadrilaterals.
• Highlight key features like opposite sides being parallel in both shapes, while rectangles have the additional property of having congruent angles.

## Materials Required:

• Quadrilateral board from Activity 1
• protractor
##### Procedure:
• Retrieve the quadrilateral board used in Activity 1.
• Experiment with the angles formed by the intersecting threads on the board.
• Encourage students to measure and calculate the sum of internal angles and the sum of external angles.
• Discuss and explore why the sum of internal angles in any quadrilateral is always 360 degrees, as well as the significance of the sum of external angles also equating to 360 degrees.

# Complete Instructions video on Quadrilaterals

Conclusion:
By engaging in these hands-on activities, high school teachers and homeschooling parents can effectively teach and demonstrate the properties of various quadrilaterals. Through observation, discussion, and experimentation, students will gain a deeper understanding of the unique characteristics of scalene trapeziums, isosceles trapeziums, kites, rhombuses, parallelograms, and rectangles. Furthermore, measuring internal and external angles will enhance their mathematical skills and provide a solid foundation in geometry.