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Congruent triangles

9th grade (Year 10 in England) · 16 questions · Common Core: HSG.CO.B.8, HSG.SRT.B.5 · England: GCSE Foundation Geometry, GCSE Higher Geometry

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  1. Question 1

    Two triangles are known to be congruent because two angles and the side between them are equal. Which condition is this?

    • A. SSS
    • B. ASA
    • C. SAS
    • D. RHS (HL)

  2. Question 2

    Two triangles have only two pairs of sides equal. Must they be congruent?

    • A. Yes
    • B. No

  3. Question 3

    Two triangles are known to be congruent because both have a right angle, and the hypotenuses and one other side are equal. Which condition is this?

    • A. ASA
    • B. SAS
    • C. SSS
    • D. RHS (HL)

  4. Question 4

    Two triangles have only two pairs of sides equal. Must they be congruent?

    • A. Yes
    • B. No

  5. Question 5

    Two triangles are known to be congruent because two sides and the angle between them are equal. Which condition is this?

    • A. SAS
    • B. ASA
    • C. SSS
    • D. RHS (HL)

  6. Question 6

    Two triangles have two angles and the included side equal (ASA). Must they be congruent?

    • A. Yes
    • B. No

  7. Question 7

    Two triangles are known to be congruent because both have a right angle, and the hypotenuses and one other side are equal. Which condition is this?

    • A. RHS (HL)
    • B. SAS
    • C. SSS
    • D. ASA

  8. Question 8

    Two triangles have two sides and the included angle equal (SAS). Must they be congruent?

    • A. Yes
    • B. No

  9. Question 9

    Two triangles are known to be congruent because both have a right angle, and the hypotenuses and one other side are equal. Which condition is this?

    • A. RHS (HL)
    • B. SAS
    • C. ASA
    • D. SSS

  10. Question 10

    Two triangles have all three sides equal (SSS). Must they be congruent?

    • A. Yes
    • B. No

  11. Question 11

    Two triangles are known to be congruent because both have a right angle, and the hypotenuses and one other side are equal. Which condition is this?

    • A. SSS
    • B. SAS
    • C. RHS (HL)
    • D. ASA

  12. Question 12

    Two triangles have two sides and the included angle equal (SAS). Must they be congruent?

    • A. Yes
    • B. No

  13. Question 13

    Two triangles are known to be congruent because both have a right angle, and the hypotenuses and one other side are equal. Which condition is this?

    • A. SAS
    • B. ASA
    • C. SSS
    • D. RHS (HL)

  14. Question 14

    Two triangles have all three angles equal (AAA). Must they be congruent?

    • A. Yes
    • B. No

  15. Question 15

    Two triangles are known to be congruent because all three pairs of sides are equal. Which condition is this?

    • A. SSS
    • B. ASA
    • C. SAS
    • D. RHS (HL)

  16. Question 16

    Two triangles have two sides and the included angle equal (SAS). Must they be congruent?

    • A. Yes
    • B. No

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Answer key: Congruent triangles

  1. 1. B. ASA

  2. 2. B. No

  3. 3. D. RHS (HL)

  4. 4. B. No

  5. 5. A. SAS

  6. 6. A. Yes

  7. 7. A. RHS (HL)

  8. 8. A. Yes

  9. 9. A. RHS (HL)

  10. 10. A. Yes

  11. 11. C. RHS (HL)

  12. 12. A. Yes

  13. 13. D. RHS (HL)

  14. 14. B. No

  15. 15. A. SSS

  16. 16. A. Yes