Answered

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Question 5 of 10

Any polygon with two pairs of parallel opposite sides is a parallelogram.

A. True
B. False

Sagot :

GinnyAnswer
To determine whether the statement "Any polygon with two pairs of parallel opposite sides is a parallelogram" is true or false, we need to explore the properties of such polygons and specifically the definition of a parallelogram.

### Step-by-Step Solution:

1. Understanding Key Definitions:
- Polygon: A polygon is a plane figure with at least three straight sides and angles, typically with all sides connected to form a closed shape.
- Parallelogram: A parallelogram is a special type of quadrilateral (a polygon with four sides) where both pairs of opposite sides are parallel and equal in length.

2. Analyzing the Statement:
- The statement refers to a polygon with "two pairs of parallel opposite sides".
- Checking the definition of a parallelogram: A figure with two pairs of parallel opposite sides fits precisely the definition of a parallelogram.

3. Conclusion:
- Since the definition of a parallelogram is a quadrilateral with two pairs of opposite sides that are parallel, any quadrilateral with these properties must indeed be a parallelogram.

Thus, the statement "Any polygon with two pairs of parallel opposite sides is a parallelogram" is True.

### Answer:

A. True
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