The term quadrilateral refers to a figure enclosed by the four sides that are not equal. And the sum of all angles of a quadrilateral is always equal to 360 degrees.
Types of a Quadrilateral
1. Parallelogram
- It is an enclosed figure with four sides.
- The parallelogram is a figure whose opposite sides are equal.
2. Rectangle
- It is an enclosed figure with four sides.
- The rectangle is a figure whose opposite sides are equal.
- Every angle of the rectangle is always equal to 90 degrees.
3. Square
- The square is an enclosed figure with four equal sides.
- Every angle of the rectangle is always equal to 90 degrees.
4. Rhombus
- The rhombus is a parallelogram whose all sides are equal.
5. Kite
- It is a figure whose adjacent angles are equal.
Problem
If ABFE is a trapezium, then prove that C is the midpoint of BF and AB is parallel to EF, whereas D is the midpoint of AE. And EF is parallel to DC.
Solution:
BE cut DC at a point, i.e., G.
Now in
With the help of the midpoint theorem, G is known as the midpoint of EB.
In the ∆, G is the midpoint of BE and GC is parallel to EF.
With the midpoint theorem, C becomes the midpoint of BF.
It is proved that c is the midpoint of the side BF.