Download Proving that a Quadrilateral is a Parallelogram Any of the methods

Name
Honors Geometry
Proving that a Quadrilateral is a Parallelogram
Any of the methods may be used to prove that a quadrilateral is a
parallelogram.
1) If both pairs of opposite sides are parallel, then the quadrilateral is a
parallelogram.
2) :If both pairs of opposite sides of a quadrilateral are congruent, then
the quadrilateral is a parallelogram.
3) If one pair of opposite sides of a quadrflateral are congruent and
parallel, then the quadrilateral is a parallelogram.
4) [f the diagonals of a quadrilateral bisect each other, then the
quadrilateral is a parallelogram.
5) :If both pairs of opposite angles of a quadrilateral are congruent,
then the quadrilateral is a parallelogram.
Name
Honors Geometry
Given: CirCle H and CirCle
"Prove: HELO is a parallelogram
E
2) Given: ~CDt~ is an isosceles trapezoid
BC is the base of: isosceles triangle BCD
13rove: ABDE is a parallelogram
D
C
M
H
A
D
H
E
prove: ABCD is a parallelogram
G
5) Given:
KR is a median to ,70
RP = KM
RM ~ KM
P
JM01~ is a para!leiogram
M
K
Date .......
Parallelog rams
Name..........................
Honors Geometry"
1. Given:
CE -- EA
DE --_ EF
BF - FC
D
Prove: ABFD is a parallelogram
A
E
F
Given
ABCD and BEFC are para![elograms
Prove: AEFD is a parallelogram
E
D