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.ParallelogramRectangleSquareRhombusTrapezium
One 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.
Length of the diagonal of a rectangle = √(L2 + B2)Area = together * BPerimeter = 2(L+B)
If a and also b are the lengths that the diagonals of a rhombus,Area = (a* b) / 2Perimeter = 4L
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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:
|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
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