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Date:___________________
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Geometry
3.12 Trapezoid

Trapezoid
  • Is a quadrilateral with exactly one pair of parallel sides. The parallel sides are the bases
  • A trapezoid has two pairs of base angles. For example in the trapezoid ABCD,

    ÐA and ÐB are one pair of base angles, and ÐC and ÐD are the second pair.
  • The non parallel sides are the legs of the trapezoid.
Isosceles Trapezoid: If the legs of the trapezoid are congruent then the trapezoid is an Isosceles trapezoid.

THEOREMS:
  • If a trapezoid is isosceles, then each pair of base angles is congruent.
    If trapezoid ABCD is isosceles, then ÐA @ ÐD and ÐB @ ÐC.
  • If a trapezoid has a pair of congruent base angles, then it is an isosceles trapezoid ABCD is isosceles. If ÐA @ ÐD and ÐB @ ÐC. then ABCD is isosceles.

  • A trapezoid is isosceles if and only if its diagonals are congruent.
    Trapezoid ABCD is isosceles if and only if AC @ BD.

  • Midsegment Theorem for Trapezoids:
    The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases. If MN is the midsegment of trapezoid ABCD, then MN // AB, MN // DC, and MN = 1/2(AB+CD)

Directions:
1) For the trapezoid ABCD shown below find the measures of angle A, angle C and angle D.

2) Answer the following questions and write at least 5 examples of your own.

Name: ___________________

Date:___________________

Geometry
3.12 Trapezoid

Q 1: A trapezoid is a quadrilateral with exactly ___ pair of parallel sides.
two
three
one

 Q 2: The parallel sides of a trapezoid are called the ______.
sides
bases
lengths
legs

Q 3: A trapezoid has two pairs of _____ angles.
leg
base

 Q 4: If the legs of a trapezoid are congruent, then the trapezoid is an ________________.
isosceles trapezoid
equilateral trapezoid
scalene trapezoid

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 Question 6: This question is available to subscribers only!


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