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6th class > Understanding Elementary Shapes > Quadrilaterals

Quadrilaterals

Take two pairs of set squares from your geometry box. You may notice that there are both different types. One has a angle combination of 45°-90°-45° while the other has 30°-90°-60°. Using these, try to align any two of them by placing them adjacent to each other, such that a quadrilateral is formed.

Square Formed

What shape does the above image represent?

When we place the two identical 45°-90°-45° set squares, we get a square.

What shape do the above image represent?

When we place the two identical 30°-90°-60° set squares and align them similarly, as done in the previous case, we get a rectangle.

What shape do the above image represent?

Now, let's change the positions a bit. If we place the pair of 30°–60°–90° set-squares such that, the side having equal length is joined together, we get a parallelogram.

What shape do the above image represent?

If we use four 30°–60°–90° set-squares and align them so that they come together to form a square, we instead get a rhombus (since all the sides are not equal).

What shape do the above image represent?

We get a trapezium, if after making a rectangle with two 30°-90°-60° set squares, we add in a third set-square such that the sides of the same length are aligned together.

Try to move each of these events to the description:

Instructions

properties of parallelogram,rhombus and rectangle.
All the properties of a parallelogram
Opposite sides are equal.
Opposite angles are equal.
All the properties of a parallelogram.
Diagonals are equal.
one pair of opposite sides is parallel
Diagonals are perpendicular to each other.
Each of the angles is a right angle.
Diagonals bisect one another.
Parallelogram
Rhombus
Rectangle
Square
Trapezoid

A quadrilateral is a polygon which has sides.

Some other types of quadrilaterals apart from square and rectangle include :

Trapezium: A quadrilateral in which one pair of two opposite sides is parallel.

Parallelogram: Quadrilateral where the opposite sides are parallel.

Rhombus : Quadrilateral where the opposite sides are parallel to each other and all the sides are equal. In other words, rhombus is a with equal sides.