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 MI/Vocab line symmetry line of symmetry rotational symmetry angle of rotation Identify line symmetry and rotational symmetry.

Lesson 5 Ex1 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 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 Ex2 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 CYP2 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 Ex3 Identify Rotational Symmetry FLOWERS Determine whether the flower design has rotational symmetry. Write yes or no. If yes, name its angle(s) of rotation.

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

1.A 2.B 3.C 4.D Lesson 5 CYP3 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.

Lesson 5 Ex4 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. Use a Rotation

Lesson 5 Ex4 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° counterclockwise180° counterclockwise90° clockwise

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

End of Lesson 5

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

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

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

Lesson 6 Ex2 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 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. same H(–2, 1) opposites E(–4, 4) F(3, 3) G(4, 2) H'(–2, –1) G'(4, –2) F'(3, –3) E'(–4, –4)

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

Lesson 6 CYP2 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 Ex3 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 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. opposites D(1, –2) same A(1, 3) B(4, 0) C(3, –4) D'(–1, –2) C'(–3, –4) B'(–4, 0) A'(–1, 3)

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

Lesson 6 CYP3 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 Ex4 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: Use a Reflection

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