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A quadrilateral having two pairs of equa...

A quadrilateral having two pairs of equal adjacent sides but unequal opposite sides, is called a

A

trapezium

B

parallelogram

C

kite

D

rectangle

Text Solution

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The correct Answer is:
To solve the question, "A quadrilateral having two pairs of equal adjacent sides but unequal opposite sides, is called a," we will analyze the properties of the given options. ### Step-by-Step Solution: 1. **Understanding the Definition**: - We need to identify a quadrilateral that has two pairs of equal adjacent sides and unequal opposite sides. 2. **Analyzing the Options**: - **Option 1: Trapezium**: A trapezium has one pair of parallel sides but does not necessarily have equal adjacent sides. - **Option 2: Parallelogram**: A parallelogram has opposite sides that are equal and parallel, which contradicts the requirement of unequal opposite sides. - **Option 3: Kite**: A kite has two pairs of adjacent sides that are equal (i.e., AB = AC and AD = DC) but the opposite sides are not equal (i.e., AD ≠ BC and AB ≠ DC). - **Option 4: Rectangle**: A rectangle has opposite sides that are equal and parallel, which again contradicts the requirement of unequal opposite sides. 3. **Identifying the Correct Answer**: - From the analysis above, the only quadrilateral that fits the description of having two pairs of equal adjacent sides but unequal opposite sides is a **kite**. ### Conclusion: The answer to the question is **Option 3: Kite**. ---
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