Lesson G5

G5 use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS) Quiz: Pearson Edexcel Maths, Unit 4

20 questions

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Lesson G5, use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS): 20 multiple choice questions for the Pearson Edexcel GCSE Maths (1MA1), Unit 4: Geometry and measures, written with Revision Ninja.

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The 20 questions

  1. Which is NOT a valid congruence criterion for triangles?

    • SSS
    • RHS
    • AAA
    • SAS
  2. What does the R stand for in the triangle congruence rule RHS?

    • Rhombus
    • Rotational
    • Regular
    • Right angle
  3. In the SAS congruence rule, where must the known angle be?

    • Opposite both sides
    • Between the sides
    • Outside the sides
    • At the base
  4. What does ASA stand for in triangle congruence?

    • Area side angle
    • Acute side angle
    • Angle side angle
    • Angle side area
  5. What must two congruent geometric shapes share?

    • Identical shape and size
    • Proportional side lengths
    • Equal area only
    • Same orientation only
  6. What does SSS stand for in triangle geometry?

    • Surface side size
    • Side side side
    • Same scale size
    • Side scale side
  7. RHS applies only to:

    • isosceles triangles
    • equilateral triangles
    • right-angled triangles
    • obtuse triangles
  8. Two triangles with three pairs of equal angles are what?

    • Similar
    • Congruent
    • Identical
    • Equilateral
  9. Triangles have AB = DE = 5 cm, BC = EF = 7 cm and angle B = angle E = 40°. Which criterion proves them congruent?

    • SSS
    • ASA
    • SAS
    • RHS
  10. Two triangles have angle A = angle D = 60°, angle B = angle E = 50° and AB = DE. Which criterion applies?

    • RHS
    • ASA
    • SSS
    • SAS
  11. Two right-angled triangles have hypotenuse 13 cm and one other side of 5 cm in each. Which criterion applies?

    • SAS
    • RHS
    • SSS
    • ASA
  12. Can rotated triangles with matching side lengths be congruent?

    • No, orientations differ
    • Yes, by SAS
    • Only if equilateral
    • Yes, by SSS
  13. Does the SSA condition guarantee standard triangle congruence?

    • No
    • Only for right triangles
    • Only for acute triangles
    • Yes
  14. Two triangles share a common side and have equal angles at both ends of that side. Which criterion proves congruence?

    • SSS
    • RHS
    • SAS
    • ASA
  15. An altitude splits an isosceles triangle into two right-angled triangles. Which criterion proves they are congruent?

    • SAS
    • SSS
    • RHS
    • ASA
  16. Triangles ABC and DEF are congruent with A↔D, B↔E, C↔F. If AB = 4.5 cm, which side must equal 4.5 cm?

    • EF
    • DF
    • DE
    • BC
  17. Which condition is insufficient on its own to prove two triangles are congruent?

    • SSS
    • SAS
    • AAA
    • RHS
  18. Diagonals AC and BD of a quadrilateral bisect each other at M. Which criterion proves triangles AMB and CMD congruent?

    • RHS
    • ASA
    • SSS
    • SAS
  19. Which rule proves two right-angled triangles congruent with matching hypotenuse and leg?

    • SSS
    • ASA
    • RHS
    • SAS
  20. Two triangles have angles 30° and 70°, with the side between them 9 cm in both. What is the third angle?

    • 40°
    • 60°
    • 100°
    • 80°

All Pearson Edexcel Maths quizzes