Class 9 Math: Triangles Important Exam Questions

NexPro Tools Mathematics TeamJune 5, 20266 min read

Preparing for school exams or final CBSE boards requires practicing questions patterned after official grading schemes. We have compiled a list of crucial questions for Class 9 Triangles to help you test your mastery.

Exam-Pattern Questions and Answers

Question 1 (EASY)

If ΔABC ≅ ΔPQR and ΔABC is not congruent to ΔRPQ, then which of the following is not true?
  • Option 1: BC= PQ
  • Option 2: AC = PR
  • Option 3: QR= BC
  • Option 4: AB = PQ

Solution Explanation & Steps: (a) BC = PQ Given, ΔABC ≅ ΔPQR Thus, the corresponding sides are equal Hence, AB = PQ, BC = QR and AC = PR Therefore, BC = PQ is not true for the triangles.

Question 2 (HARD)

State and Prove Basic Proportionality Theorem.

This is a descriptive problem. Work out all steps on paper before checking the solution.

Solution Explanation & Steps: Statement - 1 mark Given, To prove, Construction and figure of 2 marks Proof of 2 marks SECTION - E(Case Study Based Questions) Questions 36 to 38 carry 4 marks each.

Question 3 (EASY)

The perimeters of two similar triangles ABC and PQR are 56 cm and 48 cm respectively. PQ/AB is equal to
  • Option 1: 7/8
  • Option 2: 6/7
  • Option 3: 7/6
  • Option 4: 8/7

Solution Explanation & Steps: (b) 6/7 The ratio of the corresponding sides of similar triangles is same as the ratio of their perimeter ∴ ∆ABC ~ ∆PQR or ∆PQR ~ ∆ABC 48 6 56 7 PQ QR PR PQ AB BC AC AB⇒ = = = ⇒ =

Grading Step-Marking Guidelines

Remember that teachers award partial marks for writing down formulas, stating the given variables, and drawing diagrams. Never leave a question blank on an exam. Write down the relevant formulas and initial substitution steps to secure partial credits.

📚 Class 9 Math Resource Hub for Triangles: • 🧮 Interactive Solver: Solve Triangles Problems - Verify steps in real-time. • 📝 Timed Practice Quiz: Take Triangles Online Quiz - Test your speed and concepts. • 📄 Printable Worksheet: Download Triangles PDF Worksheet - Interactive problems with answers. • 📐 Formula Sheet: View Triangles Key Equations - Complete revision references. • 🔄 Next Topic Guide: Quadrilaterals Study Notes • 🎓 Syllabus Overview: Class 9 Mathematics Portal - Access all chapter guides.