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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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Date

Score/ 16

  1. Question 1

    Triangle 1 has angles 41° and 79°. Triangle 2 has angles 41° and 60°. Are the triangles similar?

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

    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
  3. Question 3

    Triangle 1 has angles 75° and 50°. Triangle 2 has angles 75° and 59°. Are the triangles similar?

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

    Triangle P has sides 2, 3, 4 cm. Triangle Q has sides 6, 9, 12 cm. Are they similar?

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

    Triangle 1 has angles 58° and 48°. Triangle 2 has angles 58° and 74°. Are the triangles similar?

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

    Triangle P has sides 5, 7, 8 cm. Triangle Q has sides 15, 21, 24 cm. Are they similar?

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

    Triangle 1 has angles 30° and 31°. Triangle 2 has angles 30° and 123°. Are the triangles similar?

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

    Triangle P has sides 6, 8, 9 cm. Triangle Q has sides 9, 12, 13.5 cm. Are they similar?

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

    Triangle 1 has angles 60° and 74°. Triangle 2 has angles 60° and 42°. Are the triangles similar?

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

    Triangle P has sides 2, 3, 4 cm. Triangle Q has sides 5, 7.5, 10 cm. Are they similar?

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

    Triangle 1 has angles 43° and 39°. Triangle 2 has angles 43° and 92°. Are the triangles similar?

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

    Triangle P has sides 2, 3, 4 cm. Triangle Q has sides 5, 6, 8 cm. Are they similar?

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

    Triangle 1 has angles 71° and 49°. Triangle 2 has angles 71° and 60°. Are the triangles similar?

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

    Triangle P has sides 5, 7, 8 cm. Triangle Q has sides 7.5, 12.5, 12 cm. Are they similar?

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

    Triangle 1 has angles 43° and 64°. Triangle 2 has angles 43° and 79°. Are the triangles similar?

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

    Triangle P has sides 3, 4, 5 cm. Triangle Q has sides 6.5, 6, 7.5 cm. Are they similar?

    • A. Yes
    • B. No

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  1. Yes
  2. No
  3. No
  4. Yes
  5. Yes
  6. Yes
  7. No
  8. Yes
  9. No
  10. Yes
  11. No
  12. No
  13. Yes
  14. No
  15. No
  16. No