Lesson T4.4.1

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

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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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 triangle ABC, which side is labelled a?

    • The side opposite angle A
    • The side opposite angle C
    • The side opposite angle B
    • The side joining A and B

  2. Congruent triangles are what?

    • Same shape but different sizes
    • Equal in perimeter only
    • Same size but different shapes
    • Identical in shape and size

  3. Which is NOT a congruence rule for triangles?

    • Right angle, hypotenuse, side
    • Angle, side, angle
    • Side, side, side
    • Angle, angle, angle

  4. What does SSS mean as a congruence test?

    • All three sides of one triangle match the three sides of the other
    • All three angles of one triangle match the three angles of the other triangle
    • Two angles and one side of one triangle match those of the other
    • Two sides and the included angle of one triangle match the other

  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 pair of triangles is congruent?

    • Two triangles with sides 3, 4 and 5 cm each
    • Triangles with sides 3, 4, 5 cm and 6, 8, 10 cm
    • Triangles with sides 3, 4, 5 and 3, 4, 6 cm
    • Two triangles with equal angles only

  10. Two triangles have equal angles. What can you say?

    • They have equal areas, so they are the same shape
    • They are similar, but not necessarily congruent
    • They are congruent, since equal angles mean equal sides
    • They are identical in size, so their sides must match

  11. In triangle PQR, which side is labelled q?

    • The side opposite angle P
    • The side opposite angle R
    • The side joining P and Q
    • The side opposite angle Q

  12. If two triangles are congruent, which values are equal?

    • Corresponding sides and angles
    • Only the number of sides
    • Only the perimeter
    • Only the area

  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. A right-angled triangle has hypotenuse 10 cm and a side of 6 cm. Another triangle matches both. Which test proves congruence?

    • SSA
    • AAA
    • RHS (right angle, hypotenuse, side)
    • SSS

  15. Which symbol is used to show two triangles are congruent?

    • ∼
    • ∥
    • ≅
    • ≈

  16. Why can angles alone not prove two triangles congruent?

    • The sides are always different lengths
    • Angles always add up to 180 degrees
    • Angles fix the shape but not the size
    • Angles are measured in centimetres

  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 sides 3, 4, 5 cm and 4, 5, 3 cm. Are they congruent?

    • Yes, all three sides match
    • No, the angles are missing
    • Only if both are right-angled
    • No, the order of the sides is different

  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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