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Main Idea/Vocabulary line symmetry line of symmetry rotational symmetry angle of rotation Identify line symmetry and rotational symmetry.

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Example 1 Identify Line Symmetry Determine whether the figure has line symmetry. If it does, draw all lines of symmetry. If not, write none. Answer: This figure has one vertical line of symmetry.

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1.A 2.B 3.C 4.D Example 1 BOTANY Determine whether the leaf has line symmetry. If it does, draw all lines of symmetry. If not, write none. A.none B.1 line C.2 lines D.3 lines

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Example 2 Identify Rotational Symmetry FLOWERS Determine whether the flower design has rotational symmetry. Write yes or no. If yes, name its angle(s) of rotation.

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Example 2 Identify Rotational Symmetry Answer: Yes, this figure has rotational symmetry. It will match itself after being rotated 90 , 180 , and 270 .

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1.A 2.B 3.C 4.D Example 2 A.yes, 90°B.yes, 120° C.yes, 180°D.no FLOWERS Determine whether the flower design has rotational symmetry. Write yes or no. If yes, name its angle(s) of rotation.

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Example 3 Use a Rotation ARCHITECTURE A rosette is a painted or sculptured ornament, usually circular, having designs that radiate symmetrically from the center. Copy and complete the picture of the rosette shown so that the completed figure has rotational symmetry with 90 , 180 , and 270 as its angles of rotation.

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Example 3 Use the procedure described above and the points indicated to rotate the figure 90 , 180 , and 270 counterclockwise. Use a 90 rotation clockwise to produce the same rotation as a 270 rotation counterclockwise. Answer: Use a Rotation 90° clockwise180° counterclockwise90° counterclockwise

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1.A 2.B 3.C 4.D Example 3 DESIGN Copy and complete the figure so that the completed design has rotational symmetry with 90 , 180 , and 270 as its angles of rotation. A.B. C.D.

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1.A 2.B 3.C Five Minute Check 1 Determine whether the polygons are congruent. If so, list their congruent parts. (over Lesson 6-4) A.yes; A X, B Z, C Y, AB XY, BC YZ, AC XZ, ΔABC ΔXYZ B.yes; A X, B Y, C Z, AB XY, BC YZ, AC XZ, ΔABC ΔXYZ C.no

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1.A 2.B 3.C Five Minute Check 2 Determine whether the polygons are congruent. If so, list their congruent parts. (over Lesson 6-4) A. B. C.no

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1.A 2.B 3.C 4.D Five Minute Check 3 A.30° B.45° C.60° D.75° (over Lesson 6-4) In the figure, ΔCLS ΔFIJ. Find m I.

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1.A 2.B 3.C 4.D Five Minute Check 4 (over Lesson 6-4) A. B. C. D. If ΔABC ΔXYZ, which of the following options is not true?

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