Lesson T4.4.1

T4.4.1 Labelling triangles and congruence Quiz: KS3 Maths, Unit 4

20 questions

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Lesson T4.4.1, Labelling triangles and congruence: 20 multiple choice questions for the KS3 Maths (National Curriculum), Unit 4: Geometry and measures, written with Revision Ninja.

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The 20 questions

  1. In standard triangle ABC, which side is labelled with the lower-case letter a?

    • Opposite angle A
    • Hypotenuse
    • Adjacent to angle A
    • Longest side
  2. How are congruent triangles mathematically defined?

    • Same area only
    • Same perimeter only
    • Same angles only
    • Identical shape and size
  3. Which of these is NOT a valid triangle congruence rule?

    • ASA
    • SAS
    • SSS
    • AAA
  4. What does the congruence test SSS stand for?

    • Side, side, side
    • Square side sum
    • Same side scale
    • Side, side, size
  5. Which congruence rule uses two sides and the angle between them?

    • SAS
    • SSA
    • AAA
    • SSS
  6. Triangles ABC and PQR are congruent with A matching P. If AB = 6 cm, which side matches?

    • Side RQ
    • Side PR
    • Side QR
    • Side PQ
  7. How many pairs of matching sides are needed to prove SSS?

    • Two
    • Three
    • Four
    • One
  8. Which rule uses two angles and the side between them?

    • AAA
    • SSS
    • SSA
    • ASA
  9. Which congruence test is used when two triangles have identical side lengths?

    • SSS
    • SAS
    • ASA
    • RHS
  10. Two triangles have equal angles. What geometrical property do they share?

    • Equivalence
    • Similarity
    • Congruence
    • Symmetry
  11. In triangle PQR, which side is conventionally labelled as q?

    • Adjacent angle Q
    • The hypotenuse
    • The longest side
    • Opposite angle Q
  12. If two triangles are fully congruent, which features are identical?

    • Corresponding sides and angles
    • Angles only
    • Perimeter only
    • Area only
  13. Triangles ABC and DEF have AB = DE = 7 cm, angle A = angle D = 50 degrees and AC = DF = 9 cm. Which rule proves they are congruent?

    • ASS
    • SSS
    • SAS
    • AAA
  14. Which triangle congruence test uses the hypotenuse and a right angle?

    • SAS
    • ASA
    • RHS
    • SSS
  15. Which symbol is used to show two triangles are congruent?

    • ∼
    • ∥
    • ≅
    • ≈
  16. Why can angle measurements alone never prove triangle congruence?

    • Triangles have no angles
    • Angles change with size
    • They fix shape only
    • Sides determine area
  17. In triangle ABC, sides are a = 4 cm, b = 5 cm and c = 6 cm. What is the side opposite angle B?

    • 5 cm
    • 6 cm
    • 15 cm
    • 4 cm
  18. Two triangles have side lengths 3, 4, 5 cm and 4, 5, 3 cm. Are they congruent?

    • Yes
    • Only by area
    • Only by angle
    • No
  19. Which congruence rule is written as AAS?

    • Angle, angle, side
    • Angle, angle, angle
    • Side, side, side
    • Angle, side, side
  20. Two triangles share angles 30 degrees and 70 degrees. The side of 4 cm lies between them in both triangles. Which rule proves congruence?

    • AAA
    • SSA
    • SSS
    • ASA

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