Chapter 9 · Class 7 CBSE · Free Worksheet PDF
Congruence & Symmetry Sums for Class 7 — Free CBSE Worksheet PDF with Answers
Download a free printable congruence & symmetry worksheet for Class 7 CBSE with 30 practice questions covering congruence & symmetry concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. CBSE-aligned for the 2025-26 syllabus.
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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.
Sample Congruence & Symmetry Sums for Class 7 — Practice Questions
Here are 8 sample congruence & symmetry sums from this Class 7 CBSE worksheet. Download the full PDF for all 30 questions with answers.
Q1.Which of the following best defines what it means for two geometric figures to be congruent?
A.A) They have the same shape and the same size, meaning one can be perfectly superimposed on the other.
B.B) They have the same shape but may have different sizes.
C.C) They have the same size but may have different shapes.
D.D) They are mirror images of each other, but not necessarily identical.
Difficulty: Easy
Q2.Two line segments are congruent if and only if:
A.A) They are parallel to each other.
B.B) They have the same length.
C.C) They are perpendicular to each other.
D.D) They lie on the same line.
Difficulty: Easy
Q3.When are two angles, say ∠ABC and ∠PQR, considered congruent?
A.A) When their arms are of the same length.
B.B) When they have the same vertex.
C.C) When their measures (in degrees) are equal.
D.D) When they are vertically opposite angles.
Difficulty: Easy
Q4.Consider two triangles, ΔABC and ΔXYZ. If AB = XY, BC = YZ, and CA = ZX, which congruence criterion applies?
A.A) SAS (Side-Angle-Side)
B.B) ASA (Angle-Side-Angle)
C.C) SSS (Side-Side-Side)
D.D) RHS (Right angle-Hypotenuse-Side)
Difficulty: Easy
Q5.Two triangles, ΔPQR and ΔDEF, have the following properties: PQ = DE, ∠PQR = ∠DEF, and QR = EF. Which congruence criterion proves ΔPQR ≅ ΔDEF?
A.A) ASA (Angle-Side-Angle)
B.B) SSS (Side-Side-Side)
C.C) RHS (Right angle-Hypotenuse-Side)
D.D) SAS (Side-Angle-Side)
Difficulty: Easy
Q6.To prove that ΔMNO ≅ ΔRST using the ASA congruence criterion, which of the following sets of conditions must be true?
A.A) ∠M = ∠R, MN = RS, ∠N = ∠S
B.B) MN = RS, NO = ST, OM = TR
C.C) MN = RS, ∠M = ∠R, ∠O = ∠T
D.D) ∠M = ∠R, NO = ST, ∠O = ∠T
Difficulty: Easy
Q7.If ΔXYZ ≅ ΔPQR, which of the following statements is always true?
A.A) XY = QR
B.B) ∠Y = ∠Q
C.C) XZ = PQ
D.D) ∠X = ∠Q
Difficulty: Easy
Q8.How many lines of symmetry does an equilateral triangle have?
A.A) 0
B.B) 1
C.C) 2
D.D) 3
Difficulty: Easy
Answer Key — Sample Questions+
Q1:A) They have the same shape and the same size, meaning one can be perfectly superimposed on the other.
Q2:B) They have the same length.
Q3:C) When their measures (in degrees) are equal.
Q4:C) SSS (Side-Side-Side)
Q5:D) SAS (Side-Angle-Side)
Q6:A) ∠M = ∠R, MN = RS, ∠N = ∠S
Q7:B) ∠Y = ∠Q
Q8:D) 3
Download the full PDF for all 30 answers with step-by-step solutions.
About This Worksheet
| Topic | Congruence & Symmetry |
|---|---|
| Board | CBSE |
| Class | 7 |
| Total Questions | 30 (10 Easy + 10 Medium + 10 Hard) |
| Answer Key | Included |
| Price | Free |
Related Worksheets — Class 7 CBSE
Frequently Asked Questions
Where can I download free congruence & symmetry sums for Class 7?+
You can download a free Congruence & Symmetry PDF worksheet for Class 7 CBSE right here on SparkEd. The worksheet includes 30 practice questions (congruence & symmetry concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many congruence & symmetry questions are in this Class 7 worksheet?+
This SparkEd worksheet for Congruence & Symmetry Class 7 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover congruence & symmetry concepts, practice problems, and word problems with step-by-step solutions. A fresh set is generated daily so students never repeat the same sheet.
Does the Congruence & Symmetry worksheet for Class 7 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this congruence & symmetry worksheet aligned to CBSE syllabus?+
Yes. This worksheet is specifically designed for Class 7 CBSE students and aligned to the 2025-26 CBSE syllabus. All questions follow the CBSE exam pattern and difficulty level.
Can I print this Congruence & Symmetry worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.
Does this worksheet include congruence & symmetry word problems?+
Yes! The worksheet includes both computation-based questions and real-world word problems. Word problems are especially important for CBSE exams, and our worksheet covers a variety of scenarios to build problem-solving skills.
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