Geometry 6-6 Trapezoids Only one pair of parallel sides (called bases) Non-parallel sides are called legs Base angles share a common base.

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Presentation transcript:

Geometry 6-6 Trapezoids Only one pair of parallel sides (called bases) Non-parallel sides are called legs Base angles share a common base

Isosceles Trapezoid Legs are congruent Each pair of base angles are congruent Top and bottom angles are supplementary Diagonals are congruent A B C D AC ≅BD

Examples Find mA. AD = 12x – 11, and BC = 9x – 2. Find the value of x so that ABCD is isosceles.

Midsegment of a Trapezoid A midsegment of a trapezoid connects the midpoints of the two legs (also called a median). Base Midsegment Midpoint

Length of a Midsegment The midsegment of a trapezoid is the average of the two bases. Base 1 Base 2 Midsegment

Example Find the length of EF E F

Example Find the length of AB AB