Grade 8 | Unit 1 | Lesson 10: Composing Figures | Practice Problems

Describe a sequence of translations, rotations, and reflections that take the lower left triangle to the upper right triangle.

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Here is a picture of an older version of the flag of Great Britain. There is a rigid transformation that takes Triangle 1 to Triangle 2, another that takes Triangle 1 to Triangle 3, and another that takes Triangle 1 to Triangle 4. Measure the lengths of the sides in Triangles 1 and 2. What do you notice?

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What are the side lengths of Triangle 3? Explain how you know.

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CCSS.HSG.CO.C.11

Do all eight triangles in the flag have the same area? Explain how you know.

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CCSS.2.G.A.1

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CCSS.8.G.A.5

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CCSS.8.G.A.3

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CCSS.8.G.A.3

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CCSS.8.G.A.3

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CCSS.HSG.CO.B.6