Quadrilaterals Worksheet With Answers Page 27
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505. Proof:
AC
BD
and
bisect
Quad. ABCD
each other.
as shown
Given
Given
∠DMC≅∠AMB
∠DMA≅∠BMC
AM ≅
DM ≅
MC
MB
Vertical ∠s ≅
Vertical ∠s ≅
Def. of bisect
Def. of bisect
∆DMC ≅ ∆BMA
∆DMA ≅ ∆BMC
SAS postulate
SAS postulate
DC ≅
AD ≅
AB
BC
CPCTC
CPCTC
Quadrilateral ABCD is a
parallelogram.
If the opposite sides of a
quadrilateral are ≅, then
the quadrilateral is a
parallelogram.
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