Geometry

Question Analysis

The main focus of this problem is to recall the basic geometric fact about the number of sides of a quadrilateral, which is a fundamental concept in the study of regular polygons.

 

Key Concept Explanation

1. Polygons: Polygons are closed - plane figures composed of straight - line segments. The number of sides is a defining characteristic of a polygon.

2. Naming Conventions for Polygons: Polygons are named based on the number of their sides. The prefixes used in naming polygons often have Greek or Latin origins. For example, "tri -" means three, "quad -" means four, "penta -" means five, and so on.

 

Step - by - Step Solution

1. By the definition of a quadrilateral in geometry, a quadrilateral is a polygon with 4 sides. The word "quadrilateral" is derived from the Latin words "quadri," which means four, and "latus," which means side.

 

Option Analysis

A.4: This is the correct answer. A quadrilateral, by definition, has 4 sides.

B.5: A polygon with 5 sides is called a pentagon, not a quadrilateral. So, this option is incorrect.

C.6: A polygon with 6 sides is a hexagon, not a quadrilateral. Hence, this option is wrong.

D.7: A polygon with 7 sides is a heptagon, not a quadrilateral. So, this option is incorrect.

 

Common Mistakes

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