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**Five-Minute Check (over Lesson 9–4) Then/Now New Vocabulary **

Key Concept: Line Symmetry Example 1: Real-World Example: Identify Line Symmetry Key Concept: Rotational Symmetry Example 2: Identify Rotational Symmetry Key Concept: Three-Dimensional Symmetries Example 3: Three-Dimensional Symmetry Lesson Menu

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**Triangle XYZ has vertices X(–3, 1), Y(–4, 5), and Z(0, 5)**

Triangle XYZ has vertices X(–3, 1), Y(–4, 5), and Z(0, 5). Graph ΔXYZ and its image after the indicated glide reflection. Translation: along 5, –2, Reflection: in x-axis A. B. C. D. 5-Minute Check 1

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**Triangle XYZ has vertices X(–3, 1), Y(–4, 5), and Z(0, 5)**

Triangle XYZ has vertices X(–3, 1), Y(–4, 5), and Z(0, 5). Graph ΔXYZ and its image after the indicated glide reflection. Translation: along 0, –4, Reflection: in y-axis A. B. C. D. 5-Minute Check 2

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**Which of the following characteristics is not preserved under a glide reflection?**

A. length B. angle measure C. orientation D. parallel lines 5-Minute Check 3

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**You drew reflections and rotations of figures. (Lessons 9–1 and 9–3)**

Identify line and rotational symmetries in two-dimensional figures. Identify line and rotational symmetries in three-dimensional figures. Then/Now

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**symmetry line symmetry line of symmetry rotational symmetry**

center of symmetry order of symmetry magnitude of symmetry plane symmetry axis symmetry Vocabulary

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Concept

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**Answer: yes; 7 lines of symmetry**

Identify Line Symmetry A. KALEIDOSCOPES State whether the object appears to have line symmetry. Write yes or no. If so, draw all lines of symmetry, and state their number. Answer: yes; 7 lines of symmetry Example 1

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**Identify Line Symmetry**

B. KALEIDOSCOPES State whether the object appears to have line symmetry. Write yes or no. If so, draw all lines of symmetry, and state their number. Answer: no Example 1

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**Answer: yes; 5 lines of symmetry**

Identify Line Symmetry C. KALEIDOSCOPES State whether the object appears to have line symmetry. Write yes or no. If so, draw all lines of symmetry, and state their number. Answer: yes; 5 lines of symmetry Example 1

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**A. State whether the figure appears to have line symmetry**

A. State whether the figure appears to have line symmetry. Write yes or no. If so, state their number. A. yes; 1 line B. yes; 2 lines C. yes; 3 lines D. no Example 1

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**B. State whether the figure appears to have line symmetry**

B. State whether the figure appears to have line symmetry. Write yes or no. If so, state their number. A. yes; 1 line B. yes; 2 lines C. yes; 4 lines D. no Example 1

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**C. State whether the figure appears to have line symmetry**

C. State whether the figure appears to have line symmetry. Write yes or no. If so, state their number. A. yes; 1 line B. yes; 2 lines C. yes; 4 lines D. no Example 1

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Concept

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**Identify Rotational Symmetry**

A. State whether the figure has rotational symmetry. Write yes or no. If so, locate the center of symmetry, and state the order and magnitude of symmetry. Answer: Yes the star has order 5 rotatonal symmetry and magnitude 360 ÷ 5 = 72°. The center of the star is the center of rotation. Example 2

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**Identify Rotational Symmetry**

B. State whether the figure has rotational symmetry. Write yes or no. If so, locate the center of symmetry, and state the order and magnitude of symmetry. Answer: The propeller has order 3 rotational symmetry and magnitude 360 ÷ 3 = 120°. The center of the propeller is the center of rotation. Example 2

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**Identify Rotational Symmetry**

C. State whether the figure has rotational symmetry. Write yes or no. If so, locate the center of symmetry, and state the order and magnitude of symmetry. Answer: The gear has order 8 rotational symmetry and magnitude 360 ÷ 8 = 45°. The center of the gear is the center of rotation. Example 2

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**A. Yes, order 8 and magnitude 45° B. Yes, order 4 and magnitude 90° **

A. State whether the figure has rotational symmetry. If so, state the order and magnitude of symmetry. A. Yes, order 8 and magnitude 45° B. Yes, order 4 and magnitude 90° C. Yes, order 4 and magnitude 180° D. No, the figure does not have rotational symmetry. Example 2

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**A. Yes, order 8 and magnitude 45° B. Yes, order 6 and magnitude 60° **

B. State whether the figure has rotational symmetry. If so, state the order and magnitude of symmetry. A. Yes, order 8 and magnitude 45° B. Yes, order 6 and magnitude 60° C. Yes, order 4 and magnitude 90° D. No, the figure does not have rotational symmetry. Example 2

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**A. Yes, order 3 and magnitude 90° B. Yes, order 4 and magnitude 90° **

C. State whether the figure has rotational symmetry. If so, state the order and magnitude of symmetry. A. Yes, order 3 and magnitude 90° B. Yes, order 4 and magnitude 90° C. Yes, order 2 and magnitude 180° D. No, the figure does not have rotational symmetry. Example 2

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Concept

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**Answer: both plane and axis symmetry**

Three-Dimensional Symmetry A. State whether the figure has plane symmetry, axis symmetry, both, or neither. Answer: both plane and axis symmetry Example 3

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**Answer: neither plane nor axis symmetry**

Three-Dimensional Symmetry B. State whether the figure has plane symmetry, axis symmetry, both, or neither. Answer: neither plane nor axis symmetry Example 3

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**A. State whether the figure has plane symmetry, axis symmetry, both or neither.**

A. plane symmetry B. axis symmetry C. both D. neither Example 3

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**B. State whether the figure has plane symmetry, axis symmetry, both or neither.**

A. plane symmetry B. axis symmetry C. both D. neither Example 3

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End of the Lesson

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