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Understanding Reflections: Lines of Symmetry and Transformations

In this lesson, we explore the concept of reflections in geometry, which involves the transformation of figures over a line, known as a line of reflection. We will identify lines of symmetry in various shapes, including isosceles triangles and regular octagons. Students will practice graphing images over the y-axis and other specified lines, learning how to reflect points and figures accurately. This engaging activity encourages visual understanding of symmetry and transformations, essential for mastering geometric concepts.

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Understanding Reflections: Lines of Symmetry and Transformations

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  1. Notes Over 9 - 9 Reflections A _______________is a change of position or size of a figure. transformation line of reflection reflection flip

  2. Notes Over 9 - 9 Reflections A _______________is a line that you can put inside an object to where the part of the object on one side of the line is a reflection on the other side. line of symmetry

  3. Notes Over 9 - 9 Reflections Draw all the lines of symmetry. 1. 2. isosceles triangle regular octagon 8 lines of symmetry 1 line of symmetry

  4. Notes Over 9 - 9 Reflections 3. Graph the image over the y-axis.

  5. Notes Over 9 - 9 Reflections 4. Graph the image over the line y = 2. horizontal

  6. Pg 487 9 – 9 #1 – 9, 10 – 28 Draw each figure. Draw all lines of symmetry. 1. rhombus 2. square 2 lines of symmetry 4 lines of symmetry

  7. Pg 487 9 – 9 #1 – 9, 10 – 28 Draw each figure. Draw all lines of symmetry. 3. isosceles triangle 1 line of symmetry

  8. Pg 487 9 – 9 #1 – 9, 10 – 28 Graph each point and its image over the given line. 4. R(7, 1); x-axis R R’

  9. Pg 487 9 – 9 #1 – 9, 10 – 28 Graph each point and its image over the given line. 5. S(5, - 1); y-axis S’ S

  10. Pg 487 9 – 9 #1 – 9, 10 – 28 Graph each point and its image over the given line. 6. F(- 2, 9); y = 1 • 10 • 8 • 6 • 4 • 2 • 0 • 2 • 4 • 6 • 8 • 10 F -10 -8 -6 -4 -2 0 2 4 6 8 10 F’

  11. Pg 487 9 – 9 #1 – 9, 10 – 28 Graph each point and its image over the given line. 7. N(- 4, - 6); x = 4 • 10 • 8 • 6 • 4 • 2 • 0 • 2 • 4 • 6 • 8 • 10 -6 -4 -2 0 2 4 6 8 10 12 14 N N’

  12. Pg 487 9 – 9 #1 – 9, 10 – 28 The vertices of a triangle are listed. Reflect each triangle over the given line. 8. A(0, 0), B(6, 0),C(0, - 6); y = 1 • 10 • 8 • 6 • 4 • 2 • 0 • 2 • 4 • 6 • 8 • 10 C’ A’ B’ B A -10 -8 -6 -4 -2 0 2 4 6 8 10 C

  13. Pg 487 9 – 9 #1 – 9, 10 – 28 The vertices of a triangle are listed. Reflect each triangle over the given line. 9. K(- 1, 4), L(3, 3),M(0, 2); y = 0 L K M M’ L’ K’

  14. Pg 487 9 – 9 #1 – 9, 10 – 28

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