Transcription of Geometry Note Parallelogram - Berkeley City College
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Geometry Note Parallelogram - Berkeley City College
Definition: Aquadrilateralis a polygon with 4 sides. Adiagonalof a quadrilat-eral is a line segment whose end-points are opposite vertices of the picture below,ABCDis a quadrilateral,AC,BDare the two name a quadrilateral by naming the four vertices in consecutive order. So wecan name the quadrilateral asABCD, or quadrilateralBCDA, : ATrapezoidis a quadrilateral with a pair of parallel pair of parallel sides (AB||DC) are called thebasesof the trapazoid, andthe non-parallel sides (DA,CB) form thelegsof the the two legs of the trapazoid are congruent to each other, then we have anisoceles :The base angles of an isoceles trapazoid are the above isoceles trapazoid, A = BThe converse of this statement is also true: If the base angles of a trapazoid iscongruent, then the trapazoid is : Aparallelogramis a quadrilateral wherebothpairs of oppositesides are parallel.
Proof: Given ABCD, we must prove that AB ˘=DC and AD ˘=BC. We contruct the diagonal, AC, of the parallelogram. A D B C Statements Reasons 1. AC is a diagonal to ABCD 1.
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