MP Board · Class 8 · Mathematics · Understanding QuadrilateralsHow many diagonals does a pentagon have?
Step-by-Step Solution
Number of diagonals = $\frac{n(n - 3)}{2}$. For a pentagon ($n = 5$), $\frac{5(5 - 3)}{2} = \frac{5 \times 2}{2} = 5$.
Detailed Options Breakdown
Option : 2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Understanding Quadrilaterals.
Option 1: 5 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 6
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Understanding Quadrilaterals.
Option 3: 9
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Understanding Quadrilaterals.
💡 Study Guide: This question tests core syllabus concepts from Understanding Quadrilaterals. For formulas, key summaries, and mock exam reference guides, read the full Understanding Quadrilaterals Revision Notes.