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Formally Defining Reflections

A reflection is a transformation such that:
•The line of reflection is the perpendicular (bisector) of the line segment connecting a point in the pre-image with its corresponding image.
This tells us that:
Line segment BB' is perpendicular
to the line of reflection.
Point L is the (Bisector)
of line segment BB'.
Point L is equidistant from B and B'.
Line segments BB' and AA' are (Parallel)

a) Congruent
b) Collinear
c) Parallel
d) Perpendicular

User Kavinda
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8.0k points

1 Answer

5 votes

Final answer:

A reflection is a transformation where the line of reflection is perpendicular to the line segment connecting a point in the pre-image with its corresponding image. This results in line segments BB' and AA' being parallel.

Step-by-step explanation:

A reflection is a transformation such that:


  • The line of reflection is the perpendicular (bisector) of the line segment connecting a point in the pre-image with its corresponding image.


This tells us that:

  • Line segment BB' is perpendicular to the line of reflection.
  • Point L is the bisector of line segment BB'.
  • Point L is equidistant from B and B'.
  • Line segments BB' and AA' are parallel.
User Ggabor
by
8.2k points

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