parallelogram ABCD. AY and DX are joined intersecting in P; CX and BY are joined
[ the same side of transversal is 180°
ILA DI
But
Hence, ABCD is a square.
ZA + ZA = 180° => ZA = 90°
LA LD
ZA = ZD = 90°
ZB = 2C = 90°
ZA = B = ZC = ZD = 90°
we have
Similarly,
EXAMPLE 8 In Fig. 13.48, X, Y are the mid-points of opposite sides AB and DC of a
ntersecting in Q. Show that the wsitio ob quera of a letto ques
. of proy
Р
А
Х
B.
Fig. 13.48
nyn
logram
COPYY is a narallelogran
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