MP Board · Class 9 · Mathematics · TrianglesIf $\triangle ABC \cong \triangle PQR$, then which of the following is true?
Step-by-Step Solution
When two triangles are congruent, their corresponding parts are equal (CPCTC). Therefore, side $AB$ corresponds to $PQ$, $BC$ corresponds to $QR$, and $AC$ corresponds to $PR$. Thus, $AC = PR$ is the correct statement.
Detailed Options Breakdown
Option : $BC = PQ$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
Option 1: $AC = PR$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $AB = QR$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Triangles.
Option 3: $1$: $1$
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.