Quadrilaterals Flip Book - Mrs Might PreAP Geometry

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Transcript Quadrilaterals Flip Book - Mrs Might PreAP Geometry

How to Make Your Flipbook:
• Take your 4 sheets of
paper and stagger them
so that there is enough
space between two
sheets of paper for you to
write something. About ¼
inch. Put the two colors
that are the same on top.
• Now, fold the top of your
papers so that they
overlap to make 4 more
flaps. You want your top
flap to be as big as you
can make it to maximize
the space you have on
the back of it. Staple
them at the top. You
should now have a
flipbook!
• Label your book like this:
BOOK OF
QUADRILATERALS
FAMILY TREE
PARALLELOGRAMS
RECTANGLES
RHOMBI
SQUARES
TRAPEZOIDS
KITES
PARALLELOGRAMS
Copy on the Parallelogram Flap
Theorems (Ways to Prove)
1. If both pairs of Opp.
Sides are , then it’s a
2. If both pairs of opp. s
Properties
are , then it’s a
1. Opposite sides are ll. 3. If the diagonals bisect
2. Opposite sides are .
each other, then it’s a
3. Opposite angles are . 4. If both pairs of Opp.
Sides are ll, then it’s a
4. Consecutive angles
are supplementary.
5. If one pair of sides are
 and ll, then it’s a
5. The diagonals
bisect each other.
Parallelograms
RECTANGLES
Copy on the Rectangles Flap.
Properties
1. All properties of the
parallelogram.
2. The diagonals are .
3. Four Right Angles
Rectangles
Theorems (Ways to Prove)
1. If the diagonals are ,
then it’s a rectangle.
2. If it has 4 right angles,
then it’s a rectangle.
RHOMBUS
Properties
1. All properties of a
parallelogram.
2. All sides are equal.
3. Diagonals are ┴.
4. Diagonal bisect
opposite angles.
Rhombus
Theorems (Ways to Prove)
1. If it has 4  sides, then
it is a Rhombus.
2. If the diagonals are ┴,
then it is a Rhombus.
3. If the diagonal bisects
each pair of opposite
angles, then it is a
Rhombus.
SQUARES
Properties
All the properties of a
Parallelogram, a
Rectangle, and a
Rhombus
Ways to Prove:
1. If it is a rectangle and
a rhombus, then it is a
square.
45o
45o
45o
45o
1
45o
45o
1
√2
Notice you create 45-45-90 Triangles!!!
Remember: 1:1:√2
Squares
45o
45o