10. In quadrilateral ABCD, M and N are midpoints of AB and CD respectively. X is the midpoint of MN. Show that a) AD + BC = 2MN b) XẢ +XB +XC +XD = 0 A M B X N C

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.1: Area And Initial Postulates
Problem 32E
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10. In quadrilateral ABCD, M and N are midpoints of AB and CD respectively. X is the midpoint
of MN. Show that
a) AD + BC = 2MN
b) XA + XB + XC + XD = 0
A
M
B
X
N
C
Transcribed Image Text:10. In quadrilateral ABCD, M and N are midpoints of AB and CD respectively. X is the midpoint of MN. Show that a) AD + BC = 2MN b) XA + XB + XC + XD = 0 A M B X N C
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