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The opposite sides of a trapezium are pa...

The opposite sides of a trapezium are parallel.

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**Step-by-Step Solution:** 1. **Understanding the Definition of a Trapezium:** - A trapezium (or trapezoid) is defined as a quadrilateral with at least one pair of opposite sides that are parallel. 2. **Identifying the Sides of the Trapezium:** - Let's label the trapezium as ABCD. In this trapezium, we can identify the sides: AB, BC, CD, and DA. 3. **Analyzing the Parallel Sides:** - In trapezium ABCD, we need to check which sides are parallel. According to the definition, one pair of opposite sides must be parallel. - For example, if AB is parallel to CD, then these two sides are the parallel sides of the trapezium. 4. **Checking the Other Pair of Sides:** - Now, we check the other pair of sides, which are AD and BC. In a trapezium, these sides are not parallel. 5. **Conclusion:** - Since only one pair of opposite sides (AB and CD) is parallel, the statement "the opposite sides of a trapezium are parallel" is false. Only one pair of opposite sides is parallel in a trapezium. ---
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