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A quadrilateral having one and only pair...

A quadrilateral having one and only pair of parallel sides is called:

A

A parallelogram

B

A kite

C

A rhombus

D

A trapezium

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To solve the question, "A quadrilateral having one and only pair of parallel sides is called:", we will analyze the options provided and determine the correct answer step by step. ### Step-by-Step Solution: 1. **Understand the Definition of a Quadrilateral**: A quadrilateral is a polygon with four sides. **Hint**: Remember that a quadrilateral can have various properties based on the lengths of its sides and the measures of its angles. 2. **Identify the Options Given**: - Option A: Parallelogram - Option B: Kite - Option C: Rhombus - Option D: Trapezium **Hint**: Write down the properties of each type of quadrilateral to help you compare them. 3. **Evaluate Option A: Parallelogram**: A parallelogram has two pairs of parallel sides. Therefore, it does not fit the requirement of having only one pair of parallel sides. **Hint**: Recall that in a parallelogram, opposite sides are equal and parallel. 4. **Evaluate Option B: Kite**: A kite has two pairs of adjacent sides that are equal, but it does not necessarily have any parallel sides. Thus, this option is also incorrect. **Hint**: Think about the symmetry in a kite and how its sides are arranged. 5. **Evaluate Option C: Rhombus**: A rhombus is a special type of parallelogram where all sides are equal, and it also has two pairs of parallel sides. Therefore, this option is incorrect as well. **Hint**: Remember that a rhombus has the same properties as a parallelogram but with equal side lengths. 6. **Evaluate Option D: Trapezium**: A trapezium (or trapezoid in some regions) is defined as a quadrilateral that has exactly one pair of parallel sides. This matches the requirement given in the question. **Hint**: Visualize a trapezium and how its sides are arranged to confirm this property. 7. **Conclusion**: Since the only option that fits the description of having one and only one pair of parallel sides is the trapezium, the correct answer is: **Answer**: Trapezium
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