Homework Explained - Math Practice 101

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Chapter 9:Transformations and Congruence; Model Quiz

9.1–9.3 Properties of Translations, Reflections, and Rotations

• Question 1

Graph the image of triangle ABC after a translation of 6 units to the right and 4 units down. Label the vertices of the image A’, B’, and C’.

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• Question 2

On the same coordinate grid, graph the image of triangle ABC after a reflection across the x-axis. Label the vertices of the image A”, B”, and C”.

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• Question 3

Graph the image of HIJK after it is rotated 180° about the origin. Label the vertices of the image H’I’J’K’.

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9.4 Algebraic Representations of Transformations

• Question 4

A triangle has vertices at (2, 3), (−2, 2), and (−3, 5). What are the coordinates of the vertices of the image after the translation (x, y) → (x + 4, y − 3)?

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9.5 Congruent Figures

• Question 5

Vocabulary Translations, reflections, and rotations produce a figure that is _____ to the original figure.

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• Question 6

Use the coordinate grid for Exercise 3. Reflect H’I’J’K’ over the y-axis, then rotate it 180° about the origin. Label the new figure H″I″J″K″.

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ESSENTIAL QUESTION

• Question 7

How can you use transformations to solve real-world problems?

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