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Which of the following is not a parallel...

Which of the following is not a parallelogram ?

A

Square

B

Rectangle

C

Rhombus

D

Trapezium

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given shapes is not a parallelogram, we need to analyze the properties of each shape mentioned in the options: square, rectangle, rhombus, and trapezium. ### Step-by-Step Solution: 1. **Understand the Properties of Parallelograms:** - A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. The opposite angles are also equal. 2. **Analyze Each Shape:** - **Square:** - All sides are equal, and opposite sides are parallel. Thus, a square is a parallelogram. - **Rectangle:** - Opposite sides are equal and parallel, and all angles are right angles. Therefore, a rectangle is also a parallelogram. - **Rhombus:** - All sides are equal, and opposite sides are parallel. Hence, a rhombus is a parallelogram as well. - **Trapezium (Trapezoid in some regions):** - A trapezium has only one pair of opposite sides that are parallel. The other pair of sides is not parallel. 3. **Conclusion:** - Since a trapezium does not have both pairs of opposite sides parallel, it does not meet the criteria to be classified as a parallelogram. Thus, the answer is that the trapezium is **not a parallelogram**. ### Final Answer: **Trapezium is not a parallelogram.**
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