In this indict on an easy geometry concepts, we cover the varieties and nature of quadrilaterals: Parallelogram, rectangle, square, rhombus, trapezium.
You are watching: The diagonals of a parallelogram are perpendicular
A quadrilateral is a simple closed figure with four sides.
Types the quadrilaterals
There space five types of quadrilaterals.ParallelogramRectangleSquareRhombusTrapezium
One common property of every quadrilaterals is the the sum of all their angles amounts to 360°.
Let us look into the properties of various quadrilaterals.
Length that the diagonal line of a rectangle = √(L2 + B2)Area = l * BPerimeter = 2(L+B)
If a and also b are the lengths that the diagonals the 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 that properties
Summarizing what we have actually learnt so much for easy reference and also remembrance:
|1||All sides are congruent||✕||✕||✓||✓|
|2||Opposite sides room parallel and congruent||✓||✓||✓||✓|
|3||All angles space congruent||✕||✓||✕||✓|
|4||Opposite angles room congruent||✓||✓||✓||✓|
|5||Diagonals are congruent||✕||✓||✕||✓|
|6||Diagonals are perpendicular||✕||✕||✓||✓|
|7||Diagonals bisect each other||✓||✓||✓||✓|
|8||Adjacent angles space supplementary||✓||✓||✓||✓|
Continue learning much more about:– nature of Lines and Angles– Properties and formulas the Circles– varieties of Triangles and Properties
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