Find the coordinates of the vertices of each figure after the given transformation. 5.) rotation 180° about the origin E(2, -2), J(1, 2), R(3, 3), S(5, 2) 6.) reflection across the x-axis M(3, -2), T(3, –1), J(5, -3) 7.) roțațion 90° counterclockwise about the origin 8.) translation: (x, y) → (x + 1, y – 3) A(-3, -1), U(-4, 1), M(-3, 2), B(0, 3) 10, 1), A-2, 4), B(o, 5), R(3, 4)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Find the coordinates of the vertices of each figure after the given transformation.**

5.) **Rotation 180° about the origin**

- \( E(2, -2) \)
- \( J(1, 2) \)
- \( R(3, 3) \)
- \( S(5, 2) \)

6.) **Reflection across the x-axis**

- \( N(3, -2) \)
- \( T(3, -1) \)
- \( N(5, -3) \)

7.) **Rotation 90° counterclockwise about the origin**

- \( U(0, 1) \)
- \( J(-2, 4) \)
- \( B(0, 5) \)
- \( R(3, 4) \)

8.) **Translation: \((x, y) \rightarrow (x + 1, y - 3)\)**

- \( A(-3, -1) \)
- \( U(-4, 1) \)
- \( M(-3, 2) \)
- \( B(0, 3) \)
Transcribed Image Text:**Find the coordinates of the vertices of each figure after the given transformation.** 5.) **Rotation 180° about the origin** - \( E(2, -2) \) - \( J(1, 2) \) - \( R(3, 3) \) - \( S(5, 2) \) 6.) **Reflection across the x-axis** - \( N(3, -2) \) - \( T(3, -1) \) - \( N(5, -3) \) 7.) **Rotation 90° counterclockwise about the origin** - \( U(0, 1) \) - \( J(-2, 4) \) - \( B(0, 5) \) - \( R(3, 4) \) 8.) **Translation: \((x, y) \rightarrow (x + 1, y - 3)\)** - \( A(-3, -1) \) - \( U(-4, 1) \) - \( M(-3, 2) \) - \( B(0, 3) \)
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