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03

PRACTICE · CLASS 9 MATHEMATICS (NCERT)

Triangles Practice Questions & PYQs

Practice important exam questions and previous year problems for Class 9 Triangles organized by mark distribution for self-assessment.

01 · 1 MARK PRACTICE QUESTIONS

Short Answer / Objective Questions

1 MARK

Q1. If △ABC ≅ △PQR by SAS criteria, which angle is equal to ∠B?

1 MARK

Q2. State the RHS congruence criterion for right-angled triangles.

02 · 2 MARKS PRACTICE QUESTIONS

Short Proofs & Calculations

2 MARKS

Q3. In △ABC, AB = AC and ∠A = 70°. Find the measure of ∠B and ∠C.

2 MARKS

Q4. In △PQR, ∠P = 50° and ∠Q = 60°. Name the longest and shortest sides of △PQR.

03 · 3 MARKS PRACTICE QUESTIONS

Intermediate Problem Solving

3 MARKS

Q5. In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD. Show that AD = AE.

3 MARKS

Q6. Line segment AD is perpendicular to side BC of △ABC such that BD = CD. Prove that △ABC is an isosceles triangle.

04 · 5 MARKS PRACTICE QUESTIONS

Long Answer & Geometric Proofs

5 MARKS

Q7. Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of △PQR. Prove that: (i) △ABM ≅ △PQN, (ii) △ABC ≅ △PQR.