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Lesson 5 Menu

Five-Minute Check (over Lesson 6-4) Main Idea and Vocabulary Targeted TEKS Example 1: Identify Line Symmetry Example 2: Identify Line Symmetry Example 3: Identify Rotational Symmetry Example 4: Use a Rotation. Lesson 5 Menu. Identify line symmetry and rotational symmetry. line symmetry.

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Lesson 5 Menu

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  1. Five-Minute Check (over Lesson 6-4) Main Idea and Vocabulary Targeted TEKS Example 1: Identify Line Symmetry Example 2: Identify Line Symmetry Example 3: Identify Rotational Symmetry Example 4: Use a Rotation Lesson 5 Menu

  2. Identify line symmetry and rotational symmetry. • line symmetry • line of symmetry • rotational symmetry • angle of rotation Lesson 5 MI/Vocab

  3. 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. Lesson 5 Ex1

  4. BOTANY Determine whether the leaf has line symmetry. If it does, draw all lines of symmetry. If not, write none. Answer: This figure has one vertical line of symmetry. Lesson 5 Ex1

  5. Identify Line Symmetry Determine whether the figure has line symmetry. If it does, trace the figure and draw all lines of symmetry. If not, write none. Answer: This figure has no lines of symmetry. Lesson 5 Ex2

  6. Determine whether the figure has line symmetry. If it does, trace the figure and draw all lines of symmetry. If not, write none. Answer: This figure has one vertical line of symmetry. Lesson 5 CYP2

  7. Identify Rotational Symmetry FLOWERSDetermine whether the flower design has rotational symmetry. Write yes or no. If yes, name its angle(s) of rotation. Lesson 5 Ex3

  8. Identify Rotational Symmetry Answer: Yes, this figure has rotational symmetry. It will match itself after being rotated 90, 180, and 270. Lesson 5 Ex3

  9. FLOWERSDetermine whether the flower design has rotational symmetry. Write yes or no. If yes, name its angle(s) of rotation. • A • B • C • D A. yes, 90° B. yes, 120° C. yes, 180° D. no Lesson 5 CYP3

  10. Use a Rotation ARCHITECTUREA 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. Lesson 5 Ex4

  11. 90° counterclockwise 180° counterclockwise 90° clockwise Use a Rotation 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: Lesson 5 Ex4

  12. DESIGNCopy and complete the figure so that the completed design has rotational symmetry with 90, 180, and 270 as its angles of rotation. Answer: Lesson 5 CYP4

  13. End of Lesson 5

  14. Five-Minute Check (over Lesson 6-5) Main Idea and Vocabulary Targeted TEKS Example 1: Draw a Reflection Example 2: Reflect a Figure Over an Axis Example 3: Reflect a Figure Over an Axis Example 4: Use a Reflection Lesson 6 Menu

  15. Graph reflections on a coordinate plane. • reflection • line of reflection • transformation Lesson 6 MI/Vocab

  16. Draw a Reflection Copy trapezoid STUV below on graph paper. Then draw the image of the figure after a reflection over the given line. Lesson 6 Ex1

  17. Draw a Reflection Step 1 Count the number of units between each vertex and the line of reflection. Answer: Step 2 Plot a point for each vertex the same distance away from the line on the other side. Step 3 Connect the new vertices to form the image of trapezoid STUV, trapezoid S'T'U'V'. Lesson 6 Ex1

  18. Copy trapezoid TRAP below on graph paper. Then draw the image of the figure after a reflection over the given line. Answer: Lesson 6 CYP1

  19. Reflect a Figure Over an Axis Graph quadrilateral EFGH with vertices E(–4, 4), F(3, 3), G(4, 2) and H(–2, 1). Then graph the image of EFGH after a reflection over the x-axis and write the coordinates of its vertices. Lesson 6 Ex2

  20. same opposites E(–4, 4) E'(–4, –4) F(3, 3) F'(3, –3) G(4, 2) G'(4, –2) H(–2, 1) H'(–2, –1) Reflect a Figure Over an Axis The coordinates of the vertices of the image are E'(–4, –4), F'(3, –3), G'(4, –2), and H'(–2, –1). Notice that the y-coordinate of a point reflected over the x-axis is the opposite of the y-coordinate of the original point. Lesson 6 Ex2

  21. Reflect a Figure Over an Axis Answer: E'(–4, –4), F'(3, –3), G'(4, –2), and H'(–2, –1). Lesson 6 Ex2

  22. Graph quadrilateral QUAD with vertices Q(2, 4), U(4, 1), A(–1, 1), and D(–3, 3). Then graph the image of QUAD after a reflection over the x-axis, and write the coordinates of its vertices. Answer:Q'(2, –4), U'(4, –1), A'(–1, –1), and D'(–3, –3). Lesson 6 CYP2

  23. Reflect a Figure Over an Axis Graph quadrilateral ABCD with vertices A(1, 3), B(4, 0), C(3, –4), and D(1, –2). Then graph the image of ABCD after a reflection over the y-axis, and write the coordinates of its vertices. Lesson 6 Ex3

  24. opposites same A(1, 3) A'(–1, 3) B(4, 0) B'(–4, 0) C(3, –4) C'(–3, –4) D(1, –2) D'(–1, –2) Reflect a Figure Over an Axis The coordinates of the vertices of the image are A'(–1, 3), B'(–4, 0), C'(–3, –4), and D'(–1, –2). Notice that the x-coordinate of a point reflected over the y-axis is the opposite of the x-coordinate of the original point. Lesson 6 Ex3

  25. Reflect a Figure Over an Axis Answer: A'(–1, 3), B'(–4, 0), C'(–3, –4), and D'(–1, –2). Lesson 6 Ex3

  26. Graph quadrilateral ABCD with vertices A(2, 2), B(5, 0), C(4, –2), and D(2, –1). Then graph the image of ABCD after a reflection over the y-axis, and write the coordinates of its vertices. Answer:A'(–2, 2), B'(–5, 0), C'(–4, –2), and D'(–2, –1). Lesson 6 CYP3

  27. Use a Reflection ARCHITECTURE Copy and complete the office floor plan shown below so that the completed office has a horizontal line of symmetry. You can reflect the half of the office floor plan shown over the indicated horizontal line. Find the distance from each vertex on the figure to the line of reflection. Then plot a point the same distance away on the opposite side of the line. Connect vertices as appropriate. Answer: Lesson 6 Ex4

  28. GAMESCopy and complete the game board shown below so that the completed game board has a vertical line of symmetry. Answer: Interactive Lab:Reflections Lesson 6 CYP4

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