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9-1 Reflections

# 9-1 Reflections - all points on a figure This point is...

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Reflections Section 9-1

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Reflection A reflection is a transformation representing a flip of a figure
To abbreviate reflection in line j , we write R j . To abbreviate R j maps P to P’ , we write . P P R j :

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A reflection in a line is an isometry ( a congruence transformation). Since a reflection is an isometry, it preserves distance and angle measure.
It is also possible to reflect an image with respect to a point. Point P is the reflection of R with respect to Q. Therefore, Q is a point of reflection. P Q R

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Lines and Points of Symmetry Some figures can be folded so that the 2 halves match. The fold is a line of symmetry. For some figures, a point can be found that is a common point of reflection for

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Unformatted text preview: all points on a figure. This point is called a point of symmetry. 4 lines of symmetry Point of symmetry 1 line of symmetry No point of symmetry Reflections Reflection x-axis y-axis origin y=x Preimage to Image How to find coordinates Multiply the y-coordinate by -1 Multiply the x-coordinate by -1 Multiply both coordinates by -1 Interchange the x and y coordinates ( , ) ( , ) a b a b → -( , ) ( , ) a b a b → --( , ) ( , ) a b b a → ( , ) ( , ) a b a b →-Joke Time Why did the tomato blush? He saw the salad dressing! What did the dog yell when it saw the pieces of a fallen tree? Bark! Bark!...
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9-1 Reflections - all points on a figure This point is...

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