CBSE · Class 10 · Mathematics · TrianglesIf a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. This theorem is known as:
Step-by-Step Solution
This fundamental theorem is known as Thales's Theorem or the Basic Proportionality Theorem (BPT). It states that if a line is parallel to a side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.
Detailed Options Breakdown
Option : Pythagoras Theorem
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
Option 1: Basic Proportionality Theorem (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: Mid-point Theorem
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
Option 3: Converse of Pythagoras Theorem
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
💡 Study Guide: This question tests core syllabus concepts from Triangles. For formulas, key summaries, and mock exam reference guides, read the full Triangles Revision Notes.