Here is another approach to squaring a conver quadrilateral ABCD. • Construct a line through B parallel to AC. Extend CD until it meets this line, at a point E. • Construct AE a. Draw a picture of this construction, using GeoGebra, some other software, or a straightedge and compass. [Hint: The whole thing will fit on the page better if the angle ZBCD is fairly large.] b. Explain why AABC has the same area as AAEC. c. Explain why quadrilateral ABCD has the same area as AAED (Thus, since AAED is squarable, so is quadrilateral ABCD.) d. Explain how this method could be extended to square any conver polygon.
Here is another approach to squaring a conver quadrilateral ABCD. • Construct a line through B parallel to AC. Extend CD until it meets this line, at a point E. • Construct AE a. Draw a picture of this construction, using GeoGebra, some other software, or a straightedge and compass. [Hint: The whole thing will fit on the page better if the angle ZBCD is fairly large.] b. Explain why AABC has the same area as AAEC. c. Explain why quadrilateral ABCD has the same area as AAED (Thus, since AAED is squarable, so is quadrilateral ABCD.) d. Explain how this method could be extended to square any conver polygon.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
please solve all parts
![1. Here is another approach to squaring a conver quadrilateral ABCD.
Construct a line through B parallel to AC.
• Extend CD until it meets this line, at a point E.
• Construct AE
a. Draw a picture of this construction, using GeoGebra, some other software, or
a straightedge and compass. [Hint: The whole thing will fit on the page better
if the angle ZBCD is fairly large.]
b. Explain why AABC has the same area as AAEC.
c. Explain why quadrilateral ABCD has the same area as AAED (Thus, since
AAED is squarable, so is quadrilateral ABCD.)
d. Explain how this method could be extended to square any conver polygon.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06ea9a7e-2cae-4113-8a8f-eb39e717e9f2%2F08040364-5d8d-4248-b0be-a9fc148897a6%2Fvrqb6jh_processed.png&w=3840&q=75)
Transcribed Image Text:1. Here is another approach to squaring a conver quadrilateral ABCD.
Construct a line through B parallel to AC.
• Extend CD until it meets this line, at a point E.
• Construct AE
a. Draw a picture of this construction, using GeoGebra, some other software, or
a straightedge and compass. [Hint: The whole thing will fit on the page better
if the angle ZBCD is fairly large.]
b. Explain why AABC has the same area as AAEC.
c. Explain why quadrilateral ABCD has the same area as AAED (Thus, since
AAED is squarable, so is quadrilateral ABCD.)
d. Explain how this method could be extended to square any conver polygon.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 4 images
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning