EXPLORATION 1 Reflections in Parallel Lines Work with a partner. Use dynamic geometry software to draw any scalene triangle and label it AABC. a. Draw any line DẺ. Reflect AABC in DE to form AA'B'C'. Sample b. Draw a line parallel to DE. Reflect AA'B'C' in the new line to form AA"B"C". c. Draw the line through point A that is perpendicular to DE. What do you notice? 'B B' B"
EXPLORATION 1 Reflections in Parallel Lines Work with a partner. Use dynamic geometry software to draw any scalene triangle and label it AABC. a. Draw any line DẺ. Reflect AABC in DE to form AA'B'C'. Sample b. Draw a line parallel to DE. Reflect AA'B'C' in the new line to form AA"B"C". c. Draw the line through point A that is perpendicular to DE. What do you notice? 'B B' B"
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Answer a,b,c only
Transcribed Image Text:EXPLORATION 1 Reflections in Parallel Lines
Work with a partner. Use dynamic geometry software to draw any scalene triangle
and label it AABC.
a. Draw any line DE. Reflect AABC
in DE to form AA'B'C'.
b. Draw a line parallel to DE. Reflect
AA'B'C' in the new line to form
AA"B"C".
Sample
c. Draw the line through point A that
is perpendicular to DE. What do
you notice?
B'
B"
d. Find the distance between points A
and A". Find the distance between
the two parallel lines. What do
you notice?
e. Hide AA'B'C'. Is there a single transformation that maps AABC to AA"B"C"?
Explain.
f. Make conjectures based on your answers in parts (c)-(e). Test your conjectures
by changing AABC and the parallel lines.
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