Open Up - Grade 8 - Mathematics - Unit 1 - Lesson 10

Here is the design for the flag of Trinidad and Tobago. Describe a sequence of translations, rotations, and reflections that take the lower left triangle to the upper right triangle.

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8.G.1.a

8.G.1.b

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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8.G.1.a

8.G.1.b

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

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8.G.1.a

8.G.1.b

Which of the lines in the picture is parallel to line l?

• p
• m
• k

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8.G.1.a

8.G.1.b

Explain how to translate, rotate or reflect line l to obtain line k.

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8.G.1.a

8.G.1.b

Explain how to translate, rotate or reflect line l to obtain line p.

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8.G.1.a

8.G.1.b

Point A has coordinates (3,4). After a translation 4 units left, a reflection across the x-axis, and a translation 2 units down, what are the coordinates of the image?

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8.G.1.a

8.G.1.b