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Grade 8 HMH Go Math - Answer Keys
Chapter 9:Transformations and Congruence; Lesson 2: Properties of Reflections
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Question 9
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Critical Thinking Is it possible that the image of a point after a reflection could be the same point as the preimage? Explain.
FOCUS ON HIGHER ORDER THINKING
Question 10
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a. Graph the image of the figure shown after a reflection across the y-axis.
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Question 10
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b. On the same coordinate grid, graph the image of the figure you drew in part a after a reflection across the x-axis.
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Question 10
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c. Make a Conjecture What other sequence of transformations would produce the same final image from the original preimage? Check your answer by performing the transformations. Then make a conjecture that generalizes your findings.
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Question 11
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a. Graph triangle DEF with vertices D(2, 6), E(5, 6), and F(5, 1) on the coordinate grid.
Question 11
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b. Next graph triangle D ′E ′F ′, the image of triangle DEF after a reflection across the y-axis.
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Question 11
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c. On the same coordinate grid, graph triangle D′′ E′′ F′′, the image of triangle D ′E ′F ′ after a translation of 7 units down and 2 units to the right.
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Question 11
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d. Analyze Relationships Find a different sequence of transformations that will transform triangle DEF to triangle D ′′E ′′F ′′.
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