Unit 2 Quadrilaterals
Name_______________
Date
10/5
10/6
10/7
Page
2
10/8
10/9
3
4
10/13
10/14
10/15
10/16
5
10/19
10/20
10/21
10/22
10/23
6
10/26
10/27
10/28
10/29
10/30
8
7
9
Topic
Discover the sum of angles in a polygon
Apply the sum of angles in a polygon
Review
Quiz
Discover the relationship in the Quadrilateral family
Discover properties of Trapezoids
Discover properties of Isosceles Trapezoid
Discover properties of right trapezoids
Apply properties of Trapezoids
Discover rules for Parallel lines cut by a transversal
Apply parallel lines cut by transversal
Review
Quiz
Discover properties of Parallelogram
Apply properties of a parallelogram
Discover properties of rectangles
Apply properties of a rectangle
Review
Quiz
Discover properties of a Rhombus
Apply properties of a rhombus
Discover rules about squares and apply
Review
Test
1
Polygons
Definition: Regular shape_______________________________________________________
Fill in using the information obtained from your figure
# of sides
Name
Sum of
interior
3
4
5
6
7
8
9
10
n
Example for a 15 sides figure
Sum of all exterior angles:
One exterior angle:
One interior angle
Sum of all interior angles:
2
one interior
angle if
regular
one exterior
angle if
regular
Sum of
exterior
angles
Quadrilateral Family Tree
Quadrilateral
Trapezoid
Kite
Parallelogram
3
Trapezoids
Properties of a Trapezoid:
 All properties of ____________ which are
o ______ sides
o All angles add to __________°
 ______ set of _________ sides are ____________
 The other set of opposite sides are ____________
 The angles between the set of parallel lines add to _________°
Properties of an Isosceles Trapezoid:




All properties of a ______________ (see above)
The unknown sides are ______ in length
The base angles are _________
_________ are equal in length
Properties of a Right Trapezoid:
 All properties of a ________________
 At least ______ _______ angle (which means there will be ______)
4
Parallel lines cut by a transversal

Corresponding Angles are equal in measure
_____________________________________

Alternate Interior Angles are equal in measure
_____________________________________

Same Side Interior Angles are supplementary
_____________________________________
Example
5
Parallelograms
Properties of parallelograms
 All properties of _______________ which are
o All properties of a ______________
o One set of sides ________________
o Angles in between those sides add to _______°
 The other set of sides that are unknown are now_______also
o So those angles in between add to _________°
 Opposite sides are ________ in length
 Diagonals _________ each other
 Opposite angles are _________ to each other
6
Rectangle
A Rectangle is a ___________ _________________ that is also an ____________ _________________!
OR
A Rectangle is a ________________________ that has _ right angle (which makes ______ of them _____°)
Properties of a Rectangle






All properties of a quadrilateral
Both pairs of opposite sides are__________
Both pairs of opposite sides are _________
Both pairs of opposite angles are ________
Diagonals _________ each other
Angles in between the _____ lines add to _______°
 Diagonals are_________
 All angles are _________
7
_________________
Rhombus
A rhombus is a __________________ that has ______ sides _______
Properties of a Rhombus






All properties of a quadrilateral
Both pairs of opposite sides are__________
Both pairs of opposite sides are _________
Both pairs of opposite angles are ________
Diagonals _________ each other
Angles in between the _____ lines add to _______°
 All side are __________
 Diagonals form a ________ angle
 The diagonals _____________ the angles they join
8
_________________
Squares
A square is a _________________ with a ________________ and a ________________
OR
A square is a ________________ with ________ _________ equal
OR
A Square is a _____________ with __________ ___________ equal
Properties of squares






All properties of a quadrilateral
Both pairs of opposite sides are__________
Both pairs of opposite sides are _________
Both pairs of opposite angles are ________
Diagonals _________ each other
Angles in between the _____ lines add to _______°
 All side are __________
 Diagonals form a ________ angle
 The diagonals __________ the angles they join
 Diagonals are________
 All angles are _________
_________________
____________
__________________
9