Lesson G5

G5 Congruence criteria for triangles (SSS, SAS, ASA, RHS) Quiz: AQA Maths, Unit 4

20 questions

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Lesson G5, Congruence criteria for triangles (SSS, SAS, ASA, RHS): 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 4: Geometry and measures, written with Revision Ninja.

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The 20 questions

  1. Which of these is a valid congruence criterion for triangles?

    • LLL
    • AAA
    • SSS
    • SSA
  2. What does the abbreviation SAS stand for in triangle congruence?

    • Side-Angle-Slope
    • Segment-Angle-Side
    • Side-Angle-Side
    • Side-Arc-Side
  3. Which congruence criterion applies to two right-angled triangles?

    • SAS
    • AAA
    • RHS
    • SSA
  4. What does the abbreviation ASA stand for in triangle congruence?

    • Angle-Side-Arc
    • Angle-Side-Angle
    • Angle-Segment-Angle
    • Arc-Side-Angle
  5. Which criterion proves congruence using only the lengths of three sides?

    • AAA
    • RHS
    • SAS
    • SSS
  6. What relationship exists between two triangles with identical corresponding angles?

    • They are congruent
    • They are similar
    • They are identical
    • They are perpendicular
  7. Triangles ABC and DEF have AB = DE = 5 cm, BC = EF = 7 cm and angle B = angle E = 40 degrees. Which criterion proves congruence?

    • RHS
    • ASA
    • SAS
    • SSS
  8. Two triangles each have an angle of 30 degrees and an angle of 70 degrees, with the 6 cm side between those two angles in both. Which criterion applies?

    • ASA
    • AAA
    • SSS
    • SAS
  9. Two right-angled triangles have a hypotenuse of 10 cm and another side of 6 cm. Which criterion proves they are congruent?

    • RHS
    • SAS
    • SSA
    • AAA
  10. Which of these is NOT a congruence criterion for triangles?

    • SAS
    • ASA
    • AAA
    • SSS
  11. What is the relationship between a 3-4-5 cm triangle and a 6-8-10 cm triangle?

    • Identical
    • Congruent
    • Perpendicular
    • Similar
  12. Triangle PQR has PQ = 8 cm, QR = 6 cm and angle Q = 35 degrees. Triangle XYZ has XY = 8 cm, YZ = 6 cm and angle Y = 35 degrees. Which criterion applies?

    • RHS
    • ASA
    • SAS
    • SSS
  13. How many pairs of equal sides are required for the SSS congruence criterion?

    • Three pairs
    • Two pairs
    • Four pairs
    • One pair
  14. Which congruence criterion uses a hypotenuse?

    • SSS
    • RHS
    • SAS
    • ASA
  15. Two triangles both have side lengths of 7 cm, 9 cm, and 12 cm. Why are they congruent?

    • By ASA
    • By RHS
    • By SSS
    • By SAS
  16. In triangles ABC and DEF, AB = DE = 4 cm, AC = DF = 6 cm and angle A = angle D = 50 degrees. Which criterion applies?

    • SAS
    • RHS
    • ASA
    • SSS
  17. Which condition is NOT one of the standard criteria for triangle congruence?

    • AAA
    • SAS
    • RHS
    • SSS
  18. Two triangles each have a 10 cm side between two 40° angles. Which congruence test applies?

    • ASA
    • SSS
    • RHS
    • SAS
  19. In the SAS congruence criterion, where must the angle be located?

    • Between equal sides
    • At the origin
    • Outside the triangle
    • Opposite equal sides
  20. Which set of equal measurements alone does NOT prove that two triangles are congruent?

    • Hypotenuse and side
    • Three sides
    • Two sides, included angle
    • Three angles

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