This document appears to be notes from a math lesson on reflections. It includes definitions of reflections and their basic properties, such as preserving lengths and angles. Students are shown examples of reflecting points and figures over a line and discussing what they notice about reflections. They are also instructed to complete homework problems on reflections.

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Do Now:
1. Take out last nights
homework
Module 8.2 Lesson 4 Day 1
Definition of Reflection and
Basic Properties
HW
pg 35 # 1-5, 8-11

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S.27
Homework pg 27­28 # 1 & 2

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What do you notice about this picture?

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DO NOW:

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L
A
P
Q
If line L was a mirror and reflected Points A, Q, and P
where would A', Q', and P' now be?
Example 1

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Link

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We see reflections all around us!

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In photographs....

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In paintings....

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Turn to page
S.29

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So what do you notice
about reflections?
Talk to me!

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L
P
P
U
L
L
A line of reflection can be any line in the plane.
Reflect this Point P and Figure T over this line of reflection.

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Line of reflection

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Turn to page
S.30
SMART Document Camera

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Basic Properties of Reflections
• A reflection maps a line to a line, a ray to a ray,
a segment to a segment, and an angle to an
angle.
• A reflection preserves lengths of segments.
• A reflection preserves degrees of angles.
A
B C
A'
B' C'

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Graphing Reflections
A reflection flips a figure over a line of reflection.
The reflected figure or image is congruent to the
original figure. All angle measures and side lengths
are the same!
Together, an image and its reflection have line
symmetry, the line of reflection being the line of
symmetry.
S.31

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SMART Document Camera

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