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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Question 1
Two triangles are similar. The small one has sides 5 cm and 2 cm. The matching side to 5 cm on the large triangle is 15 cm. How long is the side matching 2 cm?
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Question 2
Isla is 2 m tall and casts a 2.5 m shadow. At the same moment a tree casts a 13 m shadow. How tall is the tree, in m? Round to 1 decimal place if needed.
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Question 3
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 15 cm. How long is the side matching 7 cm?
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Question 4
Ravi is 1.5 m tall and casts a 1.5 m shadow. At the same moment a tree casts a 18 m shadow. How tall is the tree, in m? Round to 1 decimal place if needed.
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Question 5
Two triangles are similar. The small one has sides 2 cm and 7 cm. The matching side to 2 cm on the large triangle is 8 cm. How long is the side matching 7 cm?
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Question 6
Elena is 3 m tall and casts a 2 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.
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Question 7
Two triangles are similar. The small one has sides 3 cm and 8 cm. The matching side to 3 cm on the large triangle is 7.5 cm. How long is the side matching 8 cm?
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Question 8
Leo is 3.5 m tall and casts a 1 m shadow. At the same moment a tree casts a 17 m shadow. How tall is the tree, in m? Round to 1 decimal place if needed.
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Question 9
Two triangles are similar. The small one has sides 6 cm and 4 cm. The matching side to 6 cm on the large triangle is 24 cm. How long is the side matching 4 cm?
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Question 10
Ethan is 2.5 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.
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Question 11
Two triangles are similar. The small one has sides 9 cm and 2 cm. The matching side to 9 cm on the large triangle is 18 cm. How long is the side matching 2 cm?
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Question 12
Ravi is 3.5 m tall and casts a 1.5 m shadow. At the same moment a tree casts a 9 m shadow. How tall is the tree, in m? Round to 1 decimal place if needed.
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Question 13
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 4.5 cm. How long is the side matching 4 cm?
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Question 14
Noah is 2 m tall and casts a 1.5 m shadow. At the same moment a tree casts a 17 m shadow. How tall is the tree, in m? Round to 1 decimal place if needed.
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Question 15
Two triangles are similar. The small one has sides 5 cm and 4 cm. The matching side to 5 cm on the large triangle is 15 cm. How long is the side matching 4 cm?
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Question 16
Ethan is 2 m tall and casts a 2 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.
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