Question

Choose the odd one out.

• A. Triangle
• B. Rectangle
• C. Pentagon
• D. Sphere

Hint:

When classifying geometric figures, always look first at the dimensions (2D vs 3D).
Polygons (Triangle, Rectangle, Pentagon) are 2D, while Polyhedra and curved solids (Sphere, Cylinder, Cone) are 3D.

Answer 1

The Correct Option is D

Step 1: Understanding the Question:
This is an odd-one-out classification question. We are given four geometric terms and must determine which option does not belong to the same category as the other three based on geometrical properties.

Step 2: Detailed Explanation:

• 1. Let us analyze the geometric dimensions and properties of each shape listed in the options:

• 2. Triangle: A triangle is a flat, two-dimensional (2D) polygon with three straight sides, three vertices, and three interior angles. It lies completely in a single plane.

• 3. Rectangle: A rectangle is a flat, two-dimensional (2D) polygon with four straight sides and four right angles. It also lies completely in a single plane.

• 4. Pentagon: A pentagon is a flat, two-dimensional (2D) polygon with five straight sides and five interior angles. It also lies completely in a single plane.

• 5. Sphere: A sphere is a round, three-dimensional (3D) solid figure. Every point on its surface is equidistant from its center. It possesses volume in addition to surface area, and it cannot lie completely within a single flat plane.

• 6. Comparing the dimensional classification of these shapes:
- Triangle, Rectangle, and Pentagon are all two-dimensional (2D) figures (polygons).
- Sphere is a three-dimensional (3D) solid figure.

• 7. Since the Sphere is the only 3D figure among the given options, it is the odd one out.

Step 3: Final Answer: The odd one out is Sphere. Hence, the correct option is (D).