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Reflections

Reflections. Section 9.3. Line of Reflection . The mirror line that an image is reflected over. Line of Reflection. Coordinate Rule for Reflections. If (a,b) is reflected over the x-axis, its image is the point (a, -b) If (a,b) is reflected over the y-axis, its image is the point (-a, b).

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Reflections

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  1. Reflections Section 9.3

  2. Line of Reflection • The mirror line that an image is reflected over.

  3. Line of Reflection

  4. Coordinate Rule for Reflections • If (a,b) is reflected over the x-axis, its image is the point (a, -b) • If (a,b) is reflected over the y-axis, its image is the point (-a, b)

  5. Coordinate Rule for Reflections • If (a,b) is reflected over the line y = x, its image is the point (b, a) • If (a,b) is reflected over the line y = -x, its image is the point (-b, -a)

  6. Coordinate Rule for Reflections • If the point (4, 7) was reflected over the line y = x, what would be its image? • If the point (2, -5) was reflected over the x-axis, what would be its image? • If the point (-3, 6) was reflected over the y-axis, what would be its image? • If the point (-8, -3) was reflected over the line y = -x, what would be its image?

  7. Reflection • A reflection is an isometry (congruence transformation).

  8. Homework • Reflections Worksheet

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