Cheatography
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Lessons i remember from Math in the 3rd Semester as a Student of FTHS.
QUADRILATERAL
Is a Four sided Polygon, having 4 Edges(sides) 
Derived from latin words "Quadri" a Variation of Four and "Lotus" meaning Side. 
another name for it is "tetragon" 
Derived from the Greek word "Tetra" meaning four and "Gon" meaning Corner or Angles 
Properties of a Parallelogram
Consecutive Angles are Supplementary 
Parallel Sides are Congruent 
Opposite Angles are Congruent 
Diagonals Bisect each other 
Diagonals Bisect the Parallelogram into two Congruent Triangles 
Diagonals are Congruent 
PROVING THEOREMS and POSTULATES
VAT Vertical Angles Theorem 
Vertical angles are Congruent 
AAP Angle Addition Postulate 
if three Sides of one Triangles are Congruent to the Corresponding parts of another. then triangles are Congruent 
CPCTC 
Corresponding Parts of Congruent Triangles are Congruent 
LC Congruence Theorem 
if the Leg of another Right Triangle is Congruent, then the two Right Triangles are Congruent 
TRAPEZOID
Is a Quadrilateral in which are and only one pair of opposite sides are parallel 
The Parallel sides of a trapezoid are called BASES 
The NonParallel sides are Called LEGS 
The pair of angles formed by a base and legs are called BASE ANGLES 
if the LEGS of the Trapezoid are Congruent, then the Trapezoid is called an ISOSCELES TRAPEZOID 


KINDS OF QUADRILATERAL
PARALLELOGRAM a quadrilateral with two pairs of parallel sides 
RHOMBUS a quadrilateral with two pairs of congruent sides 
RECTANGLE a quadrilateral with four right angles 
SQUARE a quadrilateral with four congruent angles and sides 
TRAPEZOID a quadrilateral with one pair of parallel sides 
KITE a quadrilateral with two distinct pairs of consecutive sides that are congruent 
SPECIAL PROPERTIES
Properties 
Parallelogram 
Rectangle 
Opposite Sides are Parallel 
True 
True 
Opposite Angles are Congruent 
True 
True 
Consecutive Angles are Supplementary 
True 
True 
Diagonals Bisect each other 
True 
True 
Either Diagonals form Two Congruent Triangles 
True 
True 
Pairs of Opposite Sides are Congruent and Parallel 
True 
True 
Opposite Sides are Congruent 
True 
True 
Diagonals are perpendicular 
False 
False 
Diagonals Bisect a pair of Opposite Angles 
False 
False 
Diagonals are Congruent 
False 
True 
Diagonals are Both Perpendicular and Congruent 
False 
False 
ISOSCELES TRAPEZOID
an Isosceles Trapezoid features some special properties 
Legs are Congruent 
Base Angles are Congruent 
Diagonals are Congruent 
Median of Trapezoid
is a Segment which Joints the Mid Points of the NonParallel Sides. 
It is Parallel to the Bases and has a Length equal to 1/2 the sum of the length of the bases 
(Upper Base + Lower Base)/2 

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