6.
- cm
- 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). - No, if the diagonalsof a trapezoidbisecteachother, then you havea parallelogram.We also provedthis
in a previoussection. - We will use a paragraphproof.
Startwith trapezoid and midsegment.
Now, usingthe parallelpostulate,constructa line throughpoint that is parallelto. Labelthe new
intersectionsas follows: