Download GCC Unit 8

Geometry Reflective Portfolio
Unit #8: Special quadrilaterals
Section #1: Vocabulary (words and/or diagrams)
Consecutive sides and/or angles
Diagonal of a quadrilateral
Interior angle of a polygon
Exterior angle of a polygon
Quadrilateral
Regular Polygon
Section #2: Formulas/Equations/Theorems
slope
distance
midpoint
Formula for finding the sum measure of all interior
angles of a regular polygon with “n” sides
The sum measure of all exterior angles of a regular
polygon with “n” sides is____________.
Formula for finding the measure on ONE interior
angle of a regular polygon with “n” sides
Formula for finding the measure on ONE exterior
angle of a regular polygon with “n” sides.

Draw a Venn diagram to classify the special quadrilaterals: Trapezoid, Isosceles trapezoid, Kite,
Parallelogram, Rectangle, Rhombus and Square

Theorems/Definitions for proving quadrilaterals are: Trapezoid, Isosceles trapezoid, Kite,
Parallelogram, Rectangle, Rhombus and Square
USE the theorem sheets handed out in class!!!!!!
Trapezoid
o A quadrilateral is a trapezoid if at least____________________________________________
Isosceles trapezoid
o
A trapezoid is an isosceles trapezoid if and only if its ___________________________ are
congruent.
o
A trapezoid is isosceles if and only if its ______________________________ are congruent.
o
A trapezoid is isosceles if and only if it has opposite angles which are __________________.
o
A trapezoid is isosceles if and only if it has a pair of congruent __________________________.
Parallelogram
o
A quadrilateral is a parallelogram if and only if it has 2 pairs of _____________________sides.
o
A quadrilateral is a parallelogram if and only if it has 2 pairs of ______________________sides.
o
A quadrilateral is a parallelogram if and only if one pair of opposite sides are
_________________ AND _____________________.
o
A quadrilateral is a parallelogram if and only if its diagonals_____________________________.
Rectangle
o
A quadrilateral is a rectangle if and only if it has 4 ____________________________.
o
A ______________________ is a rectangle if and only if it has one _________________.
o
A ______________________ is a rectangle if and only if its _____________ are congruent.
Rhombus
o
A quadrilateral is a rhombus if and only if it has 4 ________________________________________.
o
A _____________________is a rhombus if and only if it has 2_______________________________.
o
A _____________________ is a rhombus if and only if its diagonals are ____________________ to each
other.
Square
o A quadrilateral is a square if and only if it has 4 ___________ sides AND 4 ____________________.
o A ________________ is a square if and only if it one _______________________.
o A ________________ is a square if and only if it has 2_____________________________________.
Kite
o A kite is a quadrilateral if and only if it has two ______________________________________which
are equal in length.
o If a quadrilateral is a kite, then it has a pair on _______________________________________that
are congruent.
o If a quadrilateral is a kite, then ______________________________________ bisects the other.
o If a quadrilateral is a kite, then the ___________________________________________________ to
each other.
Section #3: Key methods and concepts (write out the process and/or a solved example)
 Complete the following table:
Quadrilateral
Diagram
List of the specific properties
Rotational
(include any dotted
symmetry
lines of symmetry)
and degree
Trapezoid
Isosceles trapezoid
Kite
Parallelogram
Rectangle
Rhombus
Square
Reflection
symmetry
Examples: You must show work for each!!!!!!!!!
________.