Geometry Chapter 5 Quadrilateral Flowchart Definitions and

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Def: A quadrilateral with two pairs of consecutive sides
K
I
E
P
KE AND IT TE )
( IK
C-34: The non-vertex angles are .( KIT
Geometry
KET ).
IE )
C-35: Diagonals are . ( KT
C-36: The diag. connecting the vertex angles is the
Kite
.
Chapter 5
A
B
Rectangle
bisector of
the other. ( KT is the bisector of IE ).
C-37: The vertex angles of a kite are bisected by a diagonal.
T
E
S
C
A
C
Def: Polygon with 4 sides
A
Trapezoid
C
D
Def:: A quadrilateral with one pair of
sides.
CD
C-38: The consecutive angles between the bases are
supplementary. A supp. C AND B supp.
P
D
Q
Isosceles
Trapezoid
R
Def: A trapezoid with non-parallel sides congruent.
PQ RS AND PR QS
C-39: The base angles of Isosceles Trapezoids are .
RPQ
PQS AND PRS
RSQ
C-40: The diagonals of an isosceles trapezoid are .
RQ
AB
CD AND AC
T
BC )
R
Def:
.
Rhombus
BD
C-44: Opposite angles of a parallelogram are .
CAB
BDC AND DCA
ABD
C-45: Consecutive angles of a parallelogram are
supplementary. CAB supp. DCA ;
ABD supp. BDC ; CAB supp. ABD
DCA supp. BDC
AND
C-46: Opposite sides of a parallelogram are .
BD
C-47: Diagonals of a parallelogram bisect
each other.
ED AND CE EB
(E is the midpoint for both AD and BC )
AE
S
CD AND AC
P
Square
R
D
AB
AB
( AD
Def: A quadrilateral with both pairs of sides
B
PS
B
E
Quadrilateral
D
Def: An equiangular parallelogram (what is the measure
of each angle? Why?
(All 5 properties of parallelograms apply.)
C-51: Diagonals are
and bisect each other.
Parallelogram
T
Quadrilateral Flowchart
Definitions and Conjectures.
H
P
M
Q
A regular parallelogram.
C-52: The diagonals of a square are congruent,
perpendicular, and bisect each other.
A square has all the properties of parallelograms, rectangles,
and rhombus.
List everything you know about the square above.
O
Def: An equilateral parallelogram
(All 5 properties of parallelograms apply.)
C-49: The diagonals of a rhombus are
and they bisect each other.
RP
RO HM
PO AND HP
PM
C-50: The diagonals of a rhombus bisect
the angles of the rhombus.
What Angles are
?
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