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characteristics of parallelograms a la shmoop

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it's been said that the dockland office building in Hamburg looks like a [Man discussing dockland building]

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parallelogram leaning out over the Elbe River but is it really a parallelogram

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our crack team investigates as we bring you this riveting story let's look at [Breaking news story of dockland building]

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the characteristics of a parallelogram a parallelogram is a quadrilateral

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composed of two sets of parallel line segments a line segments opposite each

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other are congruent or have the same length all right looks good but what

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about the angles a parallelograms opposite angles are congruent and [Angles marked on parallelogram]

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consecutive angles are supplementary which means they add to 180 degrees this

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building has one pair of opposite angles measuring 50 degrees and the other pair

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measuring 130 degrees which means the pair of opposite angles are congruent

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and 50 plus 130 is 180 degrees so consecutive angles are supplementary

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we're good on angles too as final check of parallelograms diagonal should bisect

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each other or divide each other into halves [Lines dividing parallelogram]

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now we've ringed two ropes to connect opposite corners and we hope to measure

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the bisect it has before the police arrived [Boat driving in the river]

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okay so it looks like one of our diagonals is separated into four and

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four and the other diagonal is separated into five and five looks like they're in

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halves or bisected diagonals that bisect each other yep check so that's our

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report on the geometric validity of the dockland building take down the ropes [Helicopter removes ropes from dockland building]

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hurry up and we best conclude this segment of program okay we're out of

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here goodnight and good news briefs [Policeman appears and news reporter runs away]

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