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Grade 8 HMH Go Math - Answer Keys
Chapter 9:Transformations and Congruence; Lesson 1: Properties of Translations
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Question 11
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The figure shows the ascent of a hot air balloon. How would you describe the translation?
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Question 12
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Critical Thinking Is it possible that the orientation of a figure could change after it is translated? Explain.
FOCUS ON HIGHER ORDER THINKING
Question 13
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a. Multistep Graph triangle XYZ with vertices X (–2, –5), Y (2, –2), and Z (4, –4) on the coordinate grid.
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Question 13
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b. On the same coordinate grid, graph and label triangle X′Y′Z′ , the image of triangle XYZ after a translation of 3 units to the left and 6 units up.
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Question 13
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c. Now graph and label triangle X"Y"Z" , the image of triangle X′Y′Z′ after a translation of 1 unit to the left and 2 units down.
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Question 13
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d. Analyze Relationships How would you describe the translation that maps triangle XYZ onto triangle X"Y"Z" ?
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Question 14
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Critical Thinking The figure shows rectangle P′Q′R′S′ , the image of rectangle PQRS after a translation of 5 units to the right and 7 units up. Graph and label the preimage PQRS.
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Question 15
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Communicate Mathematical Ideas Explain why the image of a figure after a translation is congruent to its preimage.
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