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Decide whether two triangles are similar

10th grade (Year 11 in England) · 16 questions · Common Core: HSG.SRT.A.2, HSG.SRT.A.3 · England: GCSE Higher Geometry

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  1. Question 1

    Triangle 1 has angles 70° and 51°. Triangle 2 has angles 70° and 53°. Are the triangles similar?

    • A. Yes
    • B. No
  2. Question 2

    Triangle P has sides 2, 3, 4 cm. Triangle Q has sides 3, 6, 8 cm. Are they similar?

    • A. Yes
    • B. No
  3. Question 3

    Triangle 1 has angles 37° and 37°. Triangle 2 has angles 37° and 102°. Are the triangles similar?

    • A. Yes
    • B. No
  4. Question 4

    Triangle P has sides 5, 7, 8 cm. Triangle Q has sides 10, 14, 16 cm. Are they similar?

    • A. Yes
    • B. No
  5. Question 5

    Triangle 1 has angles 51° and 35°. Triangle 2 has angles 51° and 94°. Are the triangles similar?

    • A. Yes
    • B. No
  6. Question 6

    Triangle P has sides 2, 3, 4 cm. Triangle Q has sides 3, 3.5, 6 cm. Are they similar?

    • A. Yes
    • B. No
  7. Question 7

    Triangle 1 has angles 75° and 43°. Triangle 2 has angles 75° and 62°. Are the triangles similar?

    • A. Yes
    • B. No
  8. Question 8

    Triangle P has sides 3, 4, 5 cm. Triangle Q has sides 9, 12, 15 cm. Are they similar?

    • A. Yes
    • B. No
  9. Question 9

    Triangle 1 has angles 51° and 44°. Triangle 2 has angles 51° and 85°. Are the triangles similar?

    • A. Yes
    • B. No
  10. Question 10

    Triangle P has sides 2, 3, 4 cm. Triangle Q has sides 4, 6, 10 cm. Are they similar?

    • A. Yes
    • B. No
  11. Question 11

    Triangle 1 has angles 66° and 61°. Triangle 2 has angles 66° and 47°. Are the triangles similar?

    • A. Yes
    • B. No
  12. Question 12

    Triangle P has sides 5, 7, 8 cm. Triangle Q has sides 12.5, 16.5, 20 cm. Are they similar?

    • A. Yes
    • B. No
  13. Question 13

    Triangle 1 has angles 52° and 39°. Triangle 2 has angles 52° and 89°. Are the triangles similar?

    • A. Yes
    • B. No
  14. Question 14

    Triangle P has sides 3, 4, 5 cm. Triangle Q has sides 4.5, 8, 7.5 cm. Are they similar?

    • A. Yes
    • B. No
  15. Question 15

    Triangle 1 has angles 35° and 52°. Triangle 2 has angles 35° and 93°. Are the triangles similar?

    • A. Yes
    • B. No
  16. Question 16

    Triangle P has sides 4, 6, 7 cm. Triangle Q has sides 10, 17, 17.5 cm. Are they similar?

    • A. Yes
    • B. No

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Answer key: Decide whether two triangles are similar

  1. 1. B. No

  2. 2. B. No

  3. 3. B. No

  4. 4. A. Yes

  5. 5. A. Yes

  6. 6. B. No

  7. 7. A. Yes

  8. 8. A. Yes

  9. 9. A. Yes

  10. 10. B. No

  11. 11. B. No

  12. 12. B. No

  13. 13. A. Yes

  14. 14. B. No

  15. 15. A. Yes

  16. 16. B. No