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CBSE Maths · Class 7

Chapter 7: Congruence of Triangles

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Date: ______________
Marks: ____ / 10

Congruence rules SSS, SAS, ASA, RHS.

Questions

  1. Which rule if AB=DE,A=D,AC=DFAB=DE, \angle A=\angle D, AC=DF?
  2. Are two isosceles triangles with same equal sides congruent?
  3. In ABCXYZ\triangle ABC \cong \triangle XYZ, if A=50\angle A=50^\circ, find X\angle X.
  4. State SSS congruence rule.
  5. Are two equilateral triangles with same side congruent?
  6. State SAS rule.
  7. If ABCDEF\triangle ABC \cong \triangle DEF, and AB=5AB = 5, find DEDE.
  8. State RHS rule.
  9. State ASA rule.
  10. Congruent triangles have equal areas — T/F?

Extra Practice (Optional)

  • State ASA rule in your words.
  • Is AAS a valid congruence rule?
  • Two right triangles with equal legs are congruent by which rule?

Answer Key (For Teachers)

  1. Answer: SAS.
    Working: Two sides and included angle.
  2. Answer: No.
    Working: Not necessarily — the vertex angle may differ.
  3. Answer: 5050^\circ.
    Working: Corresponding parts of congruent triangles are equal.
  4. Answer: SSS.
    Working: Three pairs of sides equal.
  5. Answer: Yes.
    Working: Yes, by SSS.
  6. Answer: SAS.
    Working: Two sides + included angle.
  7. Answer: 55
    Working: Corresponding sides.
  8. Answer: RHS.
    Working: Right angle, hypotenuse, one side.
  9. Answer: ASA.
    Working: Two angles + included side.
  10. Answer: T
    Working: Same shape and size.
Gyaan Maths · CBSE Class 7 · Chapter 7
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026