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If every pair of adjacent sides of a quadrilateral are equal, then the quadrilateral is a
- a)Rectangle or a trapezium
- b)Square or a Rhombus
- c)Square only
- d)Rhombus only
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
If every pair of adjacent sides of a quadrilateral are equal, then the...
Explanation:
To determine the correct answer, let's examine the properties of each type of quadrilateral mentioned in the options.
a) Rectangle:
A rectangle is a quadrilateral with opposite sides that are equal and parallel, and all angles are right angles. However, it does not require that all adjacent sides are equal. Therefore, a quadrilateral with equal adjacent sides cannot be a rectangle.
b) Square:
A square is a special type of rectangle where all sides are equal in length. Therefore, if every pair of adjacent sides is equal, the quadrilateral can be a square.
c) Trapezium:
A trapezium is a quadrilateral with one pair of parallel sides. It does not require that any sides are equal in length. Therefore, a quadrilateral with equal adjacent sides cannot be a trapezium.
d) Rhombus:
A rhombus is a quadrilateral with all sides equal in length. Therefore, if every pair of adjacent sides is equal, the quadrilateral can be a rhombus.
From the above analysis, we can conclude that if every pair of adjacent sides of a quadrilateral are equal, then the quadrilateral can be a square or a rhombus. Therefore, the correct answer is option 'B' - Square or a Rhombus.
To determine the correct answer, let's examine the properties of each type of quadrilateral mentioned in the options.
a) Rectangle:
A rectangle is a quadrilateral with opposite sides that are equal and parallel, and all angles are right angles. However, it does not require that all adjacent sides are equal. Therefore, a quadrilateral with equal adjacent sides cannot be a rectangle.
b) Square:
A square is a special type of rectangle where all sides are equal in length. Therefore, if every pair of adjacent sides is equal, the quadrilateral can be a square.
c) Trapezium:
A trapezium is a quadrilateral with one pair of parallel sides. It does not require that any sides are equal in length. Therefore, a quadrilateral with equal adjacent sides cannot be a trapezium.
d) Rhombus:
A rhombus is a quadrilateral with all sides equal in length. Therefore, if every pair of adjacent sides is equal, the quadrilateral can be a rhombus.
From the above analysis, we can conclude that if every pair of adjacent sides of a quadrilateral are equal, then the quadrilateral can be a square or a rhombus. Therefore, the correct answer is option 'B' - Square or a Rhombus.
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If every pair of adjacent sides of a quadrilateral are equal, then the quadrilateral is aa)Rectangle or a trapeziumb)Square or a Rhombusc)Square onlyd)Rhombus onlyCorrect answer is option 'B'. Can you explain this answer?
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