In this indict on simple geometry concepts, us cover the types and properties of quadrilaterals: Parallelogram, rectangle, square, rhombus, trapezium.
You are watching: The diagonals of a square are perpendicular
A quadrilateral is a straightforward closed figure with 4 sides.
Types that quadrilaterals
There space five species of quadrilaterals.
ParallelogramRectangleSquareRhombusTrapeziumOne common property of all quadrilaterals is the the amount of all their angles equates to 360°.
Let united state look right into the nature of different quadrilaterals.
Parallelogram

Rectangles

Length of the diagonal of a rectangle = √(L2 + B2)
Area = together * BPerimeter = 2(L+B)Squares

Rhombus

If a and also b are the lengths that the diagonals of a rhombus,
Area = (a* b) / 2Perimeter = 4LTrapezium

See more: What Was Made Illegal In England In 1439 : Kissing Banned In England!
Important Formulas for a TrapeziumArea = (1/2) h (L+L2)Perimeter = together + L1 + L2 + L3
Summary of properties
Summarizing what we have learnt so much for straightforward reference and also remembrance:
S.No. | Property | Parallelogram | Rectangle | Rhombus | Square |
1 | All sides are congruent | ✕ | ✕ | ✓ | ✓ |
2 | Opposite sides space parallel and congruent | ✓ | ✓ | ✓ | ✓ |
3 | All angles room congruent | ✕ | ✓ | ✕ | ✓ |
4 | Opposite angles room congruent | ✓ | ✓ | ✓ | ✓ |
5 | Diagonals space congruent | ✕ | ✓ | ✕ | ✓ |
6 | Diagonals room perpendicular | ✕ | ✕ | ✓ | ✓ |
7 | Diagonals bisect each other | ✓ | ✓ | ✓ | ✓ |
8 | Adjacent angles room supplementary | ✓ | ✓ | ✓ | ✓ |
Continue learning more about:– nature of Lines and also Angles– Properties and also formulas of Circles– types of Triangles and Properties
Start here | Success stories | Reality inspect | Knowledgebase | Scholarships | Services major about higher ed? follow us: