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Transparency 7. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 7-4b. Objective. Graph reflections on a coordinate plane. Example 7-4b. Vocabulary. Reflection.

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  1. Transparency 7 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 7-4b Objective Graph reflections on a coordinate plane

  4. Example 7-4b Vocabulary Reflection A type of transformation in which a mirror image is produced by flipping a figure over a line

  5. Example 7-4b Vocabulary Line of reflection The line a figure is flipped over in a reflection y-axis

  6. Example 7-4b Vocabulary Transformation A mapping of a geometric figure

  7. Lesson 7 Contents Example 1Draw a Reflection Example 2Reflect a Figure over the x-axis Example 3Reflect a Figure over the y-axis

  8. Example 7-1a Copy trapezoid STUV below on graph paper. Then draw the image of the figure after a reflection over the given line. Copy original S S’ Begin with S and count how far it is from the line of reflection (y-axis) T It is 1 unit from the line of reflection U V Plot S’ 1 unit on the other side of the line of reflection Label S’ 1/3

  9. Example 7-1a Copy trapezoid STUV below on graph paper. Then draw the image of the figure after a reflection over the given line. S S’ Start at T and count how far it is from the line of reflection (y-axis) T’ T It is 3 units from the line of reflection U V Plot T’ 3 units on the other side of the line of reflection Label T’ 1/3

  10. Example 7-1a Copy trapezoid STUV below on graph paper. Then draw the image of the figure after a reflection over the given line. S S’ Start at U and count how far it is from the line of reflection (y-axis) T’ T It is 3 units from the line of reflection U U’ V Plot U’ 3 units on the other side of the line of reflection Label U’ 1/3

  11. Example 7-1a Copy trapezoid STUV below on graph paper. Then draw the image of the figure after a reflection over the given line. S S’ Start at V and count how far it is from the line of reflection (y-axis) T’ T It is 1 unit from the line of reflection U U’ V V’ Plot V’ 1 unit on the other side of the line of reflection Label V’ 1/3

  12. Example 7-1a Copy trapezoid STUV below on graph paper. Then draw the image of the figure after a reflection over the given line. Answer: S S’ Connect the new lines T’ T U U’ V V’ 1/3

  13. Example 7-2a Graph quadrilateral EFGH with vertices E(–4, 4), F(3, 3), G(4, 2) andH(–2, 1). Then graph the image of EFGHafter a reflection over the x–axis and write the coordinates of its vertices. Plot the 4 coordinates E E(-4, 4) Label E F F(3, 3) Label F G G(4, 2) Label G H Label H H(-2, 1) Connect the dots in order that was plotted 2/3

  14. Example 7-2a Graph quadrilateral EFGH with vertices E(–4, 4), F(3, 3), G(4, 2) andH(–2, 1). Then graph the image of EFGHafter a reflection over the x–axis and write the coordinates of its vertices. Identify the line of reflection E F G H x-axis 2/3

  15. Example 7-2a Graph quadrilateral EFGH with vertices E(–4, 4), F(3, 3), G(4, 2) andH(–2, 1). Then graph the image of EFGHafter a reflection over the x–axis and write the coordinates of its vertices. Copy reflection E Begin with E and count how far it is from the line of reflection (x-axis) F G It is 4 units from the line of reflection H Plot E’ 4 units on the other side of the line of reflection E’ Label E’ 2/3

  16. Example 7-2a Graph quadrilateral EFGH with vertices E(–4, 4), F(3, 3), G(4, 2) andH(–2, 1). Then graph the image of EFGHafter a reflection over the x–axis and write the coordinates of its vertices. Begin with F and count how far it is from the line of reflection (x-axis) E F It is 3 units from the line of reflection G H Plot F’ 4 units on the other side of the line of reflection F’ Label F’ E’ 2/3

  17. Example 7-2a Graph quadrilateral EFGH with vertices E(–4, 4), F(3, 3), G(4, 2) andH(–2, 1). Then graph the image of EFGHafter a reflection over the x–axis and write the coordinates of its vertices. Begin with G and count how far it is from the line of reflection (x-axis) E F It is 2 units from the line of reflection G H Plot G’ 2 units on the other side of the line of reflection G’ F’ Label G’ E’ 2/3

  18. Example 7-2a Graph quadrilateral EFGH with vertices E(–4, 4), F(3, 3), G(4, 2) andH(–2, 1). Then graph the image of EFGHafter a reflection over the x–axis and write the coordinates of its vertices. Begin with H and count how far it is from the line of reflection (x-axis) E F It is 1 unit from the line of reflection G H H’ Plot H’ 1 unit on the other side of the line of reflection G’ F’ Label H’ E’ 2/3

  19. Example 7-2a Graph quadrilateral EFGH with vertices E(–4, 4), F(3, 3), G(4, 2) andH(–2, 1). Then graph the image of EFGHafter a reflection over the x–axis and write the coordinates of its vertices. Connect the new lines in order E F G H H’ G’ F’ E’ 2/3

  20. Example 7-2a Graph quadrilateral EFGH with vertices E(–4, 4), F(3, 3), G(4, 2) andH(–2, 1). Then graph the image of EFGHafter a reflection over the x–axis and write the coordinates of its vertices. E’(-4, -4) E F F’(3, -3) G’(4, -2) G H H’(-2, -1) H’ Answer: G’ F’ Must have the graph AND the coordinates E’ 2/3

  21. Example 7-2b 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). 2/3

  22. Example 7-3a Graph trapezoid 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. Plot the 4 coordinates A(1, 3) Label A A B(4, 0) Label B C(3, -4) Label C B D(1, -2) Label D D Connect the dots in order that was plotted C 3/3

  23. Example 7-3a Graph trapezoid 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. Identify the line of reflection A y-axis B D C 3/3

  24. Example 7-3a Graph trapezoid 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. Copy reflection Begin with A and count how far it is from the line of reflection (y-axis) A A’ It is 1 unit from the line of reflection B Plot A’ 1 unit on the other side of the line of reflection D C Label A’ 3/3

  25. Example 7-3a Graph trapezoid 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. Begin with B and count how far it is from the line of reflection (y-axis) A A’ It is 4 units from the line of reflection B’ B Plot B’ 4 units on the other side of the line of reflection D C Label B’ 3/3

  26. Example 7-3a Graph trapezoid 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. Begin with C and count how far it is from the line of reflection (y-axis) A A’ It is 3 units from the line of reflection B’ B Plot C’ 3 units on the other side of the line of reflection D C’ C Label C’ 3/3

  27. Example 7-3a Graph trapezoid 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. Begin with D and count how far it is from the line of reflection (y-axis) A A’ It is 1 unit from the line of reflection B’ B Plot D’ 1 units on the other side of the line of reflection D D’ C’ C Label D’ 3/3

  28. Example 7-3a Graph trapezoid 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. Connect the new lines in order A A’ B’ B D D’ C’ C 3/3

  29. Example 7-3a Graph trapezoid 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. A’(-1, 3) B’(-4, 0) A A’ C’(-3, -4) D’(-1, -2) B’ B Answer: D D’ Must have the graph AND the coordinates C’ C 3/3

  30. Example 7-3b Graph quadrilateral ABCD with vertices A(2, 2),B(5, 0),C(4, –2),andD(2, –1). Then graph the image of ABCDafter 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). 3/3

  31. End of Lesson 7 Assignment

  32. Example 7-4a 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: 4/4

  33. Example 7-4b * GAMESCopy and complete the game board shown below so that the completed game board has a vertical line of symmetry. Answer: 4/4

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