Figure A Figure B Figure C Figure D
The Correct Answer and Explanation is:
Correct Answer: Figure A
Explanation
Among the four figures presented (Figures A, B, C, and D), Figure A is the only one that represents a triangle, a fundamental geometric shape defined by having three straight sides and three angles. Let’s examine each figure briefly and explain why Figure A is correct in this context.
- Figure A shows a three-sided polygon — a triangle — which is the simplest form of a polygon. It consists of three vertices and three edges. Triangles are important in geometry because they are the basic building blocks of many other shapes and are used in various calculations, including area, perimeter, and trigonometric applications.
- Figure B is a trapezoid, a four-sided figure (quadrilateral) with one pair of parallel sides. While it is an important shape in geometry, it does not meet the conditions to be classified as a triangle.
- Figure C is a modified rectangle with clipped corners. It still has four sides but with angled or truncated vertices, making it an irregular quadrilateral. It is not a triangle due to the number of sides.
- Figure D is a rectangle with rounded corners, often used in design for buttons and interface elements. Though aesthetically different, it is still a quadrilateral and thus not a triangle.
Therefore, the defining feature that distinguishes Figure A is its three sides — a clear marker of a triangle. Understanding this is foundational in geometry, where shapes are classified by the number of sides and angles they have. Triangles also have unique properties — such as the sum of their interior angles always totaling 180 degrees — making them critical for study in mathematics, architecture, engineering, and design. The triangle’s simplicity and structural stability make it an essential concept to recognize and understand early in geometric learning.
