Download Unit 7

Geometry Reflective Portfolio
Unit #7:
Special quadrilaterals and Polygons
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
Regular Polygon
Quadrilateral
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 YOUR FLIP BOOKS OR THEOREM SHEETS!!!!!!
Trapezoid
o A quadrilateral is a trapezoid if EXACTLY one pair of sides are ________________________
Isosceles trapezoid
o
A trapezoid is an isosceles trapezoid if and only if its non-parallel sides (leg) AND
_____________________________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 base_____________________.
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________________ each other.
Rectangle
o
A quadrilateral is a rectangle if and only if it has 4 ____________________________.
o
A parallelogram is a rectangle if and only if it has one ____________________angle.
o
A parallelogram is a rectangle if and only if its ________________________ are congruent.
Rhombus
o
A quadrilateral is a rhombus if and only if it has 4 congruent_____________________.
o
A parallelogram is a rhombus if and only if it has 2 _____________________________ that are congruent.
o
A parallelogram is a rhombus if and only if its diagonals are ____________________ to each other.
Square
o A rhombus is a square if and only if it has one ______________ angle..
o A rectangle is a square if and only if it has 2 _____________________________ are congruent.
Kite
o A quadrilateral is a kite if and only if it has two distinct pairs of adjacent(consecutive)
____________________________________.
o If a quadrilateral is a kite, then it has a pair of non-vertex _______________ that are congruent.
o If a quadrilateral is a kite, then one diagonal ____________________________the other.
o If a quadrilateral is a kite, then the diagonals are _____________________ to each other.
Section #3: Key methods and concepts
 Complete the following table:
Quadrilateral
Diagram
(include any dotted
lines of symmetry)
Trapezoid
Isosceles trapezoid
Kite
Parallelogram
Rectangle
Rhombus
Square
List of the specific properties
Rotational
symmetry
and degree
Reflection
symmetry
Examples: You must show work for each!!!!!!!!!
________.