1. IV II
Q lies on m and PQ ⊥ m
ASA
7.2
Reflections

2. Chapter 7 Section 7.2
Reflections
7.2
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3. ΔQRP →ΔQ’R’P’ by a reflection in line m
Theorem 7.1 Reflection Theorem
A reflection is an isometry
7.2
Reflections

4. The image of C reflected over the x-axis
Graph the given reflection
The image of C reflected over the x-axis
7.2
Reflections

5. The D is on the y-axis, a reflection over it would be the same point
Graph the given reflection
The D is on the y-axis, a reflection over it would be the same point
7.2
Reflections

6. The image of E reflected over the line y = 3
Graph the given reflection
The image of E reflected over the line y = 3
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7. Graph the given reflection
Since F is on the line y = -2, a reflection over it would be the same point
7.2
Reflections

8. The image of G reflected over the line x = 1
Graph the given reflection
The image of G reflected over the line x = 1
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9. The image of H reflected over the line x = 4
Graph the given reflection
The image of H reflected over the line x = 4
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10. Graph the given reflection
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11. 7.2
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12. 9. Isosceles Triangle
10. Equilateral Triangle
1 line of Symmetry
3 lines of Symmetry
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13. The point (2, 0) is where C should be so that AC + CB is a minimum
Find point C on the x axis so AC + CB is a minimum
The point (2, 0) is where C should be so that AC + CB is a minimum A’ A B
7.2
Reflections

14. C(5, 0) is the point that makes AC + CB a minimum
Find point C on the x axis so AC + CB is a minimum
1. Reflect A over the x-axis
2. Connect A’ to B A
3. The spot where A’B crosses the x-axis is where C should be. B
C(5, 0) is the point that makes AC + CB a minimum A’
7.2
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15. HW #2 Pg Odd, 36-46, 48-51
7.2
Reflections