End of chapter Exercise 12 – 2:
1.ABCDis a rhombus withAM=M OandAN=N O. ProveAN OMis also a rhombus.A
D
M
B
C
O
N
1
21
22.ABCDis a parallelogram with diagonalAC. Given thatAF=HC, show that:A
D
B
C
H
F
1221(^12)
(^21)
a)△AF D△CHB
b)DF∥HB
c)DF BHis a parallelogram
3.Given parallelogramABCDwithAEbisectingA^andF CbisectingC^.
y
䄀 䘀 䈀
䐀 䔀 䌀
a)Write all interior angles in terms ofy.
b)Prove thatAF CEis a parallelogram.
4.Given thatW Z=ZY=Y X,W^ =X^andW X∥ZY, prove that:
W X
Z Y
a)XZbisectsX^
b)W Y=XZ
410 12.2. Chapter summary