Lessons i remember from Math in the 3rd Semester as a Student of FTHS.
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Is a Four sided Polygon, having 4 Edges(sides)
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Derived from latin words "Quadri" a Variation of Four and "Lotus" meaning Side.
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another name for it is "tetragon"
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Derived from the Greek word "Tetra" meaning four and "Gon" meaning Corner or Angles
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Consecutive Angles are Supplementary
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Parallel Sides are Congruent
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Opposite Angles are Congruent
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Diagonals Bisect each other
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Diagonals Bisect the Parallelogram into two Congruent Triangles
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Diagonals are Congruent
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VAT Vertical Angles Theorem
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Vertical angles are Congruent
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AAP Angle Addition Postulate
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if three Sides of one Triangles are Congruent to the Corresponding parts of another. then triangles are Congruent
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CPCTC
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Corresponding Parts of Congruent Triangles are Congruent
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LC Congruence Theorem
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if the Leg of another Right Triangle is Congruent, then the two Right Triangles are Congruent
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Is a Quadrilateral in which are and only one pair of opposite sides are parallel
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The Parallel sides of a trapezoid are called BASES
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The Non-Parallel sides are Called LEGS
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The pair of angles formed by a base and legs are called BASE ANGLES
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if the LEGS of the Trapezoid are Congruent, then the Trapezoid is called an ISOSCELES TRAPEZOID
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PARALLELOGRAM a quadrilateral with two pairs of parallel sides
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RHOMBUS a quadrilateral with two pairs of congruent sides
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RECTANGLE a quadrilateral with four right angles
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SQUARE a quadrilateral with four congruent angles and sides
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TRAPEZOID a quadrilateral with one pair of parallel sides
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KITE a quadrilateral with two distinct pairs of consecutive sides that are congruent
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Properties
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Parallelogram
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Rectangle
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Opposite Sides are Parallel
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True
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True
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Opposite Angles are Congruent
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True
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True
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Consecutive Angles are Supplementary
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True
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True
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Diagonals Bisect each other
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True
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True
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Either Diagonals form Two Congruent Triangles
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True
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True
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Pairs of Opposite Sides are Congruent and Parallel
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True
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True
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Opposite Sides are Congruent
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True
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True
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Diagonals are perpendicular
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False
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False
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Diagonals Bisect a pair of Opposite Angles
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False
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False
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Diagonals are Congruent
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False
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True
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Diagonals are Both Perpendicular and Congruent
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False
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False
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an Isosceles Trapezoid features some special properties
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Legs are Congruent
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Base Angles are Congruent
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Diagonals are Congruent
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is a Segment which Joints the Mid Points of the Non-Parallel Sides.
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It is Parallel to the Bases and has a Length equal to 1/2 the sum of the length of the bases
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(Upper Base + Lower Base)/2
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