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State whether True or False. All paral...

State whether True or False.
All parallelograms ae trapezium.

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To determine whether the statement "All parallelograms are trapeziums" is true or false, we will analyze the definitions and properties of both shapes. ### Step-by-Step Solution: 1. **Understanding Parallelograms**: - A parallelogram is defined as a quadrilateral with both pairs of opposite sides parallel. This means that if one pair of opposite sides is parallel, the other pair is also parallel. 2. **Understanding Trapeziums**: - A trapezium (or trapezoid in some regions) is defined as a quadrilateral with at least one pair of opposite sides parallel. This means that it is not necessary for both pairs of sides to be parallel; only one pair needs to be. 3. **Analyzing the Relationship**: - Since a parallelogram has both pairs of opposite sides parallel, it satisfies the condition of having at least one pair of opposite sides parallel. Therefore, every parallelogram can be considered a trapezium because it meets the minimum requirement of having one pair of parallel sides. 4. **Conclusion**: - The statement "All parallelograms are trapeziums" is **True** because every parallelogram meets the definition of a trapezium. ### Final Answer: **True**
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