Quadrilateral has
- 4 sides
- 4 angles
-
2 diagonals
To draw quadrilateral, we need any 5 measurements (not 4)
- 4 sides & 1 diagonal
- 3 sides & 2 diagonals
- Two adjacent sides and three angles
- 3 sides and two included angles
- When other special properties are known. (Like square’s side)
Let’s look at them one by one
Why does Quadrilateral need 5 measurements? Why not 4?
We know that to draw a triangle,
we need 3 measurements – 3 sides, 2 angle 1 side etc.
So, for Quadrilateral, we should need 4 measurements
Eg: 4 sides
Let’s draw a quadrilateral with 4 sides as 5 cm, 4 cm, 5 cm, 4 cm
To construct it, let’s assume we have 4 sticks of sizes - 5 cm, 4 cm, 5 cm, 4 cm
Let’s connect the lines to make a quadrilateral
We can join the lines like
Or like
Thus,
we get different quadrilaterals when we have 4 measurements.
So, to get one quadrilateral,
we need 5 measurements
In this chapter, we will learn how to make a quadrilateral when
- 4 sides and diagonal given
- 2 Diagonals and 3 sides given
- 2 Adjacent Sides and 3 angles given
- 3 Sides and 2 angles given
- Constructing Special Quadrilaterals like Square, Rectangle, Parallelogram, Rhombus
Let’s learn them one by one
