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In a trapezium both pair of opposite sides are parallel ( True/False )

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To determine whether the statement "In a trapezium both pair of opposite sides are parallel" is true or false, we can follow these steps: ### Step 1: Understand the Definition of a Trapezium A trapezium (or trapezoid in some regions) is defined as a quadrilateral that has at least one pair of opposite sides that are parallel. **Hint:** Remember that a trapezium is a specific type of quadrilateral. ### Step 2: Draw a Trapezium Let's visualize a trapezium by drawing one. Label the vertices as A, B, C, and D. We can draw the trapezium such that sides AB and CD are parallel. **Hint:** Visualizing the shape helps in understanding its properties. ### Step 3: Identify the Parallel Sides In the trapezium we have drawn, we observe that only one pair of opposite sides is parallel. For example, AB is parallel to CD. **Hint:** Look for the parallel lines in your drawing to confirm the property. ### Step 4: Analyze the Other Pair of Sides Now, let's examine the other pair of opposite sides, which are AD and BC. In a trapezium, these sides are not parallel. **Hint:** Compare the lengths and angles of the sides to see if they can be parallel. ### Step 5: Conclusion Since we have established that a trapezium has only one pair of opposite sides that are parallel and not both pairs, we can conclude that the statement "In a trapezium both pair of opposite sides are parallel" is false. **Hint:** Remember that the definition of a trapezium is key to answering the question. ### Final Answer The statement is **False**.
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