Quadrilateral Family Tree
What do I do?
 Create a hanging mobile showing the different types of Quadrilaterals & how they are related to each other.
 8 pieces, each piece has 3 sides.
Side 1: A picture of the quadrilateral in real life. Picture should be labeled with the quadrilateral’s distinctive properties.
Example: We know we have an Isosceles Trapezoid when the legs are congruent so draw ticks on the congruent legs.
Side 2: A complete list of properties of that quadrilateral & a figure with features representing the properties of the quadrilateral.
*A list of all the properties & the features that represent each property.
Example: Property: Has 4 sides is represented as a female figure. Parallelogram has 4 sides so figure should be female.
Side 3: The correct quadrilateral graphed & proven to be that quadrilateral.
Example: A rectangle has 4 right angles, so sides should be perpendicular. Slopes should be shown to be perpendicular.
Below are 8 different sets of points. Match each set with the correct quadrilateral & show the slopes, angles, and/or side lengths needed to
prove that it was matched correctly.
*All algebraic work can be shown in the Math Journal turned in with the mobile.
1.) P(0,0), Q(0,2), R(5,5), S(2,0)
2.) P(1,1) Q(5,1) R(4,8) S(2,8)
3.) P(2,1) Q(7,1) R(7,7) S(2,5)
4.) P(0,7) Q(4,8) R(5,2) S(1,1)
5.) P(1,7) Q(5,9) R(8,3) S(4,1)
2.) P(5,1) Q(9,6) R(5,11) S(1,6)
2.) P(1,6) Q(6,6) R(6,1) S(1,1)

Math Journal
o All algebraic work related to determining which set of points represent each quadrilateral. On the quadrilateral pieces only the answers need to
be shown.
o A list of all the properties used throughout the project & the paired feature. Similar to an index of the properties & features.
Rubric
Project
Section
Math
Journal:
Property List
Std
1
2
3
4
Quadrilaterals
(Q)
List has properties, but few &
most do not have distinct
features with them.
List includes many properties
possible for quadrilaterals in
an organized way. Each
property may have a distinct
feature used in the figures.
Many features and/or
properties are missing.
List includes all properties
possible for quadrilaterals.
Each property has a distinct
feature used in the figures.
List may be missing 1-2
properties, features, or is not
organized.
List includes all properties
possible for quadrilaterals in
an organized way. Each
property has a distinct
feature used in the figures.
Quadrilateral Family Tree
Math
Journal:
Algebra
Work
Quadrilaterals
(Q)
Side Ones
Real World
Pictures
Real Worlds
(RW)
Side Twos
Properties &
Figures
Quadrilaterals
(Q)
Side Threes
Graphs
Quadrilaterals
(Q)
There is algebra work shown,
but it does not show how the
student determined what
type of quadrilateral each set
of points represents and it
has many errors & missing
steps.
A few pieces have a picture
that represents the
quadrilateral in the real
world. However none are
labeled at all or incorrectly &
many pictures are missing.
A few pieces have a list of
properties for that
quadrilateral & a figure with
features that represent the
properties of the shape.
However many properties
and features are incorrect
and missing.
One set of points are graphed
& may match with the
correct quadrilateral. Some
of the pieces show the
slopes, angles, and/or side
lengths needed to prove that
it was matched correctly.
However sets are mixed up
and incorrect & no
information is shown with
the pieces.
Algebra work is shown to
show how the student
determined what type of
quadrilateral each set of
points represents, however
there are many errors and/or
many steps missing.
Some of the pieces have a
picture that represents the
quadrilateral in the real
world. Some of the pictures
are labeled with the
distinctive properties.
However there are pictures
missing that may not be
labeled or may be labeled
incorrectly.
Some of the pieces have a list
of properties for that
quadrilateral & a figure with
features that represent the
properties of the shape.
However many of the
properties and/or features
are incorrect or missing.
Some sets of points are
graphed & matched with the
correct quadrilateral. Some
of the pieces show the
slopes, angles, and/or side
lengths needed to prove that
it was matched correctly.
However sets may be mixed
up or incorrect & not enough
information is shown with
the pieces.
All algebra work is shown so
that you can follow how the
student determined what
type of quadrilateral each set
of points represents.
However there are errors or
steps missing.
Most of the pieces have a
picture that represents the
quadrilateral in the real
world. Along with each
picture is labeled with all the
distinctive properties.
However a picture may not
be labeled or may be labeled
incorrectly.
All algebra work is shown in
an organized way so that it is
easy to follow how the
student determined what
type of quadrilateral each set
of points represents.
Most of the pieces have a list
of properties for that
quadrilateral & a figure with
features that represent the
properties of the shape.
However a few properties
and/or features are incorrect
or missing.
Most sets of points are
graphed & matched with the
correct quadrilateral. Each
piece shows the slopes,
angles, and/or side lengths
needed to prove that it was
matched correctly. However
there may be an error or not
enough information is
shown.
All 8 pieces have a list of
properties for that
quadrilateral & a figure with
features that represent the
properties of the shape.
All 8 pieces have a picture
that represents the
quadrilateral in the real
world. Along with each
picture is labeled with all the
distinctive properties.
All 8 sets of points are
graphed & matched with the
correct quadrilateral. Each
piece shows the slopes,
angles, and/or side lengths
needed to prove that it was
matched correctly.