Idiot\'s Guides Basic Math and Pre-Algebra

(Marvins-Underground-K-12) #1

186 Part 3: The Shape of the World


CHECK POINT
For each quadrilateral described, choose the best label from parallelogram, rectangle,
rhombus, or square.


  1. In quadrilateral FORT, FO OR, OR RT and OR FT.

  2. In quadrilateral CAMP, CA = AM = MP = CP and AM MP.

  3. In quadrilateral VA S E, diagonals VS and AE are congruent, but sides VA and AS
    are not.

  4. In quadrilateral SOAP, SO AP and AO SP.

  5. In quadrilateral COLD, diagonals CL and OD are perpendicular bisectors of one
    another, but they are not congruent.


Trapezoids


A trapezoid is a quadrilateral with one pair of parallel sides and one nonparallel pair. It looks like
a triangle that lost its head. The parallel sides are called the bases, and the nonparallel sides are
called the legs.

You might be able to see, with what you know about parallel lines and transversals, that the
angles formed by the bases and one of the nonparallel sides are supplementary. These are called
consecutive angles, but it’s important to remember that the term “consecutive angles” applies
only to the two angles at either end of a leg and not to the two angles at either end of a base.
Those are base angles. The consecutive angles of a trapezoid are supplementary, but the base
angles are not.

Base

Leg

Base

Leg
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