Chapter 7 · Class 9 CBSE · Worksheet

Triangles Worksheet — Class 9 CBSE Maths

Download a free printable worksheet with 30 questions at 3 difficulty levels. Includes full answer key.

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Questions — Triangles

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

Q1.Which of the following statements correctly defines congruent figures?

A.A) Figures that have the same shape but different sizes.
B.B) Figures that have the same size but different shapes.
C.C) Figures that have exactly the same shape and the same size.
D.D) Figures that are reflections of each other.

Difficulty: Easy

Q2.If ΔPQR ≅ ΔXYZ, which of the following statements is NOT necessarily true?

A.A) PQ = XY
B.B) QR = YZ
C.C) ∠P = ∠X
D.D) PR = YZ

Difficulty: Easy

Q3.To prove ΔABC ≅ ΔDEF using the SSS (Side-Side-Side) congruence criterion, if we are given AB = DE and BC = EF, what additional information is required?

A.A) ∠B = ∠E
B.B) AC = DF
C.C) ∠C = ∠F
D.D) AB = EF

Difficulty: Easy

Q4.Rohan is trying to prove that ΔPQR ≅ ΔSTU using the SAS (Side-Angle-Side) congruence criterion. He states that PQ = ST, PR = SU, and ∠Q = ∠T. What is the mistake in Rohan's reasoning?

A.A) He should have used SSS criterion instead.
B.B) The angle must be the included angle between the two sides. ∠Q is not included between PQ and PR.
C.C) The sides chosen (PQ and PR) are incorrect for SAS.
D.D) The triangles cannot be proven congruent with the given information.

Difficulty: Easy

Q5.Consider two triangles, ΔABC and ΔXYZ. If it is given that ∠A = ∠X, AB = XY, and ∠B = ∠Y, which congruence criterion can be used to prove ΔABC ≅ ΔXYZ?

A.A) SSS
B.B) SAS
C.C) ASA
D.D) RHS

Difficulty: Easy

Q6.For two right-angled triangles to be congruent by the RHS (Right angle - Hypotenuse - Side) congruence criterion, which of the following is a mandatory condition?

A.A) All three sides must be equal.
B.B) They must have one pair of corresponding acute angles equal.
C.C) Their hypotenuses must be equal, and one pair of corresponding sides (other than the hypotenuse) must be equal.
D.D) The included angle between two sides must be 90°.

Difficulty: Easy

Q7.In an isosceles triangle ΔABC, if AB = AC and ∠B = 65°, what is the measure of ∠C?

A.A) 50°
B.B) 65°
C.C) 75°
D.D) 130°

Difficulty: Easy

Q8.In ΔDEF, if ∠D = ∠F, which of the following statements must be true?

A.A) DE = DF
B.B) EF = DF
C.C) DE = EF
D.D) ∠E = 90°

Difficulty: Easy

Answer Key — Sample Questions+
Q1:C) Figures that have exactly the same shape and the same size.
Q2:D) PR = YZ
Q3:B) AC = DF
Q4:B) The angle must be the included angle between the two sides. ∠Q is not included between PQ and PR.
Q5:C) ASA
Q6:C) Their hypotenuses must be equal, and one pair of corresponding sides (other than the hypotenuse) must be equal.
Q7:B) 65°
Q8:C) DE = EF

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About This Worksheet

TopicTriangles
BoardCBSE
Class9
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download a free Triangles worksheet for Class 9?+
You can download a free Triangles PDF worksheet for Class 9 CBSE right here on SparkEd. The worksheet includes 30 questions at easy, medium, and hard levels with a complete answer key.
How many questions are in the Triangles worksheet?+
Each SparkEd worksheet for Triangles contains 30 questions — 10 easy, 10 medium, and 10 hard. A fresh set is generated daily so you never repeat the same sheet.
Does the Triangles worksheet include answers?+
Yes. Every SparkEd worksheet comes with a separate answer key so students can self-check their work after completing the sheet.

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