NCERT · Class 9 · Mathematics · QuadrilateralsA diagonal of a parallelogram divides it into two triangles which are:
Step-by-Step Solution
A diagonal of a parallelogram divides it into two congruent triangles. This can be proven using the SAS (Side-Angle-Side) congruence criterion, as the alternate interior angles are equal and the diagonal is common to both triangles.
Detailed Options Breakdown
Option : Similar but not congruent
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Quadrilaterals.
Option 1: Congruent (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: Equal in area only
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Quadrilaterals.
Option 3: Right-angled triangles
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Quadrilaterals.
💡 Study Guide: This question tests core syllabus concepts from Quadrilaterals. For formulas, key summaries, and mock exam reference guides, read the full Quadrilaterals Revision Notes.