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Find missing sides in similar shapes

8th grade (Year 9 in England) · 16 questions · Common Core: 8.G.A.4, 8.G.A.5 · England: KS3 Geometry and measures, GCSE Foundation Geometry and measures

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Date

Score/ 16

  1. Question 1

    Two triangles are similar. The small one has sides 3 cm and 4 cm. The matching side to 3 cm on the large triangle is 9 cm. How long is the side matching 4 cm?

    Answer

  2. Question 2

    Ben is 2.5 m tall and casts a 1.5 m shadow. At the same moment a tree casts a 8 m shadow. How tall is the tree, in m? Round to 1 decimal place if needed.

    Answer

  3. Question 3

    Two triangles are similar. The small one has sides 6 cm and 5 cm. The matching side to 6 cm on the large triangle is 15 cm. How long is the side matching 5 cm?

    Answer

  4. Question 4

    Daniel is 3.5 m tall and casts a 1.5 m shadow. At the same moment a tree casts a 20 m shadow. How tall is the tree, in m? Round to 1 decimal place if needed.

    Answer

  5. Question 5

    Two triangles are similar. The small one has sides 6 cm and 7 cm. The matching side to 6 cm on the large triangle is 9 cm. How long is the side matching 7 cm?

    Answer

  6. Question 6

    Elena is 2 m tall and casts a 2.5 m shadow. At the same moment a tree casts a 8 m shadow. How tall is the tree, in m? Round to 1 decimal place if needed.

    Answer

  7. Question 7

    Two triangles are similar. The small one has sides 3 cm and 4 cm. The matching side to 3 cm on the large triangle is 9 cm. How long is the side matching 4 cm?

    Answer

  8. Question 8

    Aisha is 3.5 m tall and casts a 1.5 m shadow. At the same moment a tree casts a 16 m shadow. How tall is the tree, in m? Round to 1 decimal place if needed.

    Answer

  9. Question 9

    Two triangles are similar. The small one has sides 5 cm and 9 cm. The matching side to 5 cm on the large triangle is 12.5 cm. How long is the side matching 9 cm?

    Answer

  10. Question 10

    Kofi is 2 m tall and casts a 1.5 m shadow. At the same moment a tree casts a 11 m shadow. How tall is the tree, in m? Round to 1 decimal place if needed.

    Answer

  11. Question 11

    Two triangles are similar. The small one has sides 8 cm and 5 cm. The matching side to 8 cm on the large triangle is 24 cm. How long is the side matching 5 cm?

    Answer

  12. Question 12

    Tariq is 3.5 m tall and casts a 1.5 m shadow. At the same moment a tree casts a 19 m shadow. How tall is the tree, in m? Round to 1 decimal place if needed.

    Answer

  13. Question 13

    Two triangles are similar. The small one has sides 9 cm and 5 cm. The matching side to 9 cm on the large triangle is 18 cm. How long is the side matching 5 cm?

    Answer

  14. Question 14

    Chloe is 2 m tall and casts a 1.5 m shadow. At the same moment a tree casts a 11 m shadow. How tall is the tree, in m? Round to 1 decimal place if needed.

    Answer

  15. Question 15

    Two triangles are similar. The small one has sides 2 cm and 3 cm. The matching side to 2 cm on the large triangle is 6 cm. How long is the side matching 3 cm?

    Answer

  16. Question 16

    Nia is 2 m tall and casts a 1 m shadow. At the same moment a tree casts a 16 m shadow. How tall is the tree, in m? Round to 1 decimal place if needed.

    Answer

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  1. 12
  2. 13.3
  3. 12.5
  4. 46.7
  5. 10.5
  6. 6.4
  7. 12
  8. 37.3
  9. 22.5
  10. 14.7
  11. 15
  12. 44.3
  13. 10
  14. 14.7
  15. 9
  16. 32