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