ABCD is a parallelogram . The perpendiculars drawn to (BD) passing through A cuts (CD) at M . The perpendiculars drawn to (BD) passing through C cuts (AB) at N. Redraw the figure then answer the following questions. 1) Prove that the quadrilateral AMCN is a parallelogram. 2) Deduce that the segments [AC][BD] and [MN] have the same mid point. 3) Prove that the quadrilateral BMDN is a parallelogram in two different ways. A N В D M
ABCD is a parallelogram . The perpendiculars drawn to (BD) passing through A cuts (CD) at M . The perpendiculars drawn to (BD) passing through C cuts (AB) at N. Redraw the figure then answer the following questions. 1) Prove that the quadrilateral AMCN is a parallelogram. 2) Deduce that the segments [AC][BD] and [MN] have the same mid point. 3) Prove that the quadrilateral BMDN is a parallelogram in two different ways. A N В D M
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
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![ABCD is a parallelogram .
The perpendiculars drawn to (BD) passing through A cuts (CD) at M .
The perpendiculars drawn to (BD) passing through C cuts (AB) at N.
Redraw the figure then answer the following questions.
1) Prove that the quadrilateral AMCN is a parallelogram.
2) Deduce that the segments [AC] ,[BD] and [MN] have the same mid point.
3) Prove that the quadrilateral BMDN is a parallelogram in two different ways.
A
N
D
MY](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff482b87e-eee0-419b-aeee-44d2dccb9a95%2F2a60a2a3-d183-4d3b-a45b-eee01749aef9%2Fxlrv6fx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ABCD is a parallelogram .
The perpendiculars drawn to (BD) passing through A cuts (CD) at M .
The perpendiculars drawn to (BD) passing through C cuts (AB) at N.
Redraw the figure then answer the following questions.
1) Prove that the quadrilateral AMCN is a parallelogram.
2) Deduce that the segments [AC] ,[BD] and [MN] have the same mid point.
3) Prove that the quadrilateral BMDN is a parallelogram in two different ways.
A
N
D
MY
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