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G.G.55 Investigate, justify, and apply the properties that remain invariant under
glide reflections. DISTANCE
Lesson Launcher Objective:
Discover that distance is preserved under a glide reflection.
Procedure:
The student opens the .tns document GLIDRFL1
"A1B1C1 is the image of "ABC under a glide reflection.
The measures of the sides of the triangles have been indicated.
The student will explore the figure by dragging the vertices of the "ABC
Select grab and drag point A.
What is changing? The measures of all the sides.
What is remaining the same? The pre-image side and image side always have the same measure.
Select grab and drag point B.
What is changing? The measures of all the sides.
What is remaining the same? The pre-image side and image side always have the same measure.
3) Select, grab and drag point C. As you move point C stop and record 5 successive trials by entering the distances in the table below.
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What seems to be true about the distances AB and A1B1? They are always equal.
Name any other pairs of segments that share this same property. BC and B1C1, CA and C1A1
Under the transformation glide reflection is distance preserved? yes
In your own words explain what it means when a property is preserved.
Answers will vary.
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