CK12 - Geometry

(Marvins-Underground-K-12) #1
6.


  1. cm

  2. No, if the parallel(and by definitionopposite)sidesof a quadrilateralare congruentthen the quadrilateral
    MUSTbe a parallelogram.Whenyou sketchit, the two othersidesmustalso be paralleland congruentto
    eachother(provenin a previoussection).

  3. No, if the diagonalsof a trapezoidbisecteachother, then you havea parallelogram.We also provedthis
    in a previoussection.

  4. We will use a paragraphproof.


Startwith trapezoid and midsegment.


Now, usingthe parallelpostulate,constructa line throughpoint that is parallelto. Labelthe new
intersectionsas follows:

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