Work with a partner. Use dynamic geometry software to draw any scalene triangle and label it AABC. a. Draw any line DE. Reflect AABC Sample in DE to form AA'B'C'. b. Draw any line DF so that angle EDF is less than or equal to 90°. Reflect AA'B'C' in DF to form B AA"B"C". A c. Find the measure of ZEDF. Rotate AABC counterclockwise B' B" about point D using an angle twice the measure of ZEDF. A' A" E d. Make a conjecture about a figure reflected in two intersecting lines. Test your conjecture by changing AABC and the 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 Sample in DE to form AA'B'C'. b. Draw any line DF so that angle EDF is less than or equal to 90°. Reflect AA'B'C' in DF to form B AA"B"C". A c. Find the measure of ZEDF. Rotate AABC counterclockwise B' B" about point D using an angle twice the measure of ZEDF. A' A" E d. Make a conjecture about a figure reflected in two intersecting lines. Test your conjecture by changing AABC and the lines
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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Transcribed Image Text:EXPLORATION 2 Reflections in Intersecting Lines
Work with a partner. Use dynamic geometry software to draw any scalene triangle
and label it AABC.
a. Draw any line DË. Reflect AABC
in DE to form AA'B'C'.
b. Draw any line DF so that angle
EDF is less than or equal to 90°.
Reflect AA'B'C' in DF to form
Sample
B
AA"B"C".
A
c. Find the measure of ZEDF.
Rotate AABC counterclockwise
B'
B"
about point D using an angle
twice the measure of ZEDF.
PE
A'
A"
d. Make a conjecture about a figure
reflected in two intersecting lines.
Test your conjecture by changing
AABC and the lines.
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