```created by chris
California State Standards for Geometry
7: Prove & use theorems involving parallel lines and
8: Solve problems involving perimeter and area.
10: Compute area of polygons
12: Find and use measures of sides and angles of
triangles and polygons
trapezoids
parallelograms
kites
squares
created by chris
markstrum 2005
created by chris
markstrum 2005
kite
parallelogram
rhombus
rectangle
square
trapezoid
isosceles
trapezoid
Example
created by chris
markstrum 2005
A quadrilateral has at least one pair
of opposite sides congruent.
What kind of quadrilateral is it?
kite
parallelogram
rhombus
rectangle
square
trapezoid
isosceles
trapezoid
Examples
created by chris
markstrum 2005
two congruent consecutive sides.
What kind of quadrilateral is it?
kite
parallelogram
rhombus
rectangle
square
trapezoid
isosceles
trapezoid
Example
created by chris
markstrum 2005
The coordinates of a quadrilateral are
(-2, 5), (1, 8), (4, 5), and (1, 2)
What kind of quadrilateral is it? Explain.
y
AB  BC  CD  AD  3 2
B
mAB  1
C
A
mBC  1
D
x
is a square
Example
created by chris
markstrum 2005
mR  88, mS  113, mV  113
What kind of quadrilateral is it? Explain
kite
parallelogram
rhombus
rectangle
square
trapezoid
isosceles
trapezoid
Example
created by chris
markstrum 2005
mR  88, mS  113, mV  113
What kind of quadrilateral is it? Explain
S
R
88o
S  V
kite
113o
113o
V
 R and  S
are not supplementary.
46o
T
created by chris
markstrum 2005
Property
X
Both pairs of opp. sides //
X
X
X
sorry sorry
Exactly one pair of opp. sides are // sorry sorry sorry sorry sorry
Both pairs of opp. sides are

Exactly 1 pair of opp. sides are
All sides are congruent
X

X
X
X
X
sorry sorry
sorry sorry sorry sorry sorry
sorry sorry
X
X
sorry sorry
created by chris
markstrum 2005
Property
X
X
X
sorry
X
sorry sorry
X
X
X
X
sorry sorry
X
X
X
X
sorry sorry
Diagonals are perpendicular
sorry sorry
Diagonals are congruent
sorry
Diagonals bisect each other
Both pairs of opp. angles are

Exactly one pair of opp angles are
All angles are congruent

sorry sorry sorry sorry
sorry
X
sorry
X
X
X
sorry
sorry
sorry sorry
Summary


What characteristics must be considered
Why must a parallelogram with one right
angle be a rectangle?
created by chris
markstrum 2005
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