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Geometry Name: __________________________ Guided Notes Trapezoids Date: _______________ Period: _____ A Trapezoid is a quadrilateral with exactly ______________ _______________ of __________________________ sides that are ____________________. The ______________________ _________________ are called bases of the trapezoid. The _____________________________________ sides are called legs. A trapezoid has __________________ ________________________ of base angles. A trapezoid is isosceles if: (a). one pair of _____________________ _____________________ are congruent (b). the _________________________ are congruent Theroem - If a trapezoid has one pair of congruent base angles, then it is an isosceles trapezoid. Theorem - If a trapezoid has congruent diagonals, then it is an isosceles trapezoid. If a trapezoid is isosceles then: (a). _________________ are congruent (b). _________________ ________________ are congruent (c). _____________________ are congruent Trapezoid Base Angles Theorem - If a trapezoid is isosceles, then each pair of base angles is congruent. Trapezoid Diagonals Theorem - If a trapezoid is isosceles, then its diagonals are congruent. Geometry Guided Notes Trapezoids Trapezoids Name: __________________________ Date: _______________ Period: _____ 1. Must have 1 pair of opposite sides parallel Isosceles Trapezoids 1. Legs are congruent 2. Each pair of base angles are congruent 3. Diagonals are congruent To Prove that a Trapezoid is Isosceles 1. Must have one pair of congruent base angles OR 2. Must have congruent diagonals Midsegment of a Trapezoid The ___________________ of a trapezoid is the segment that connects the ___________________ of its _____________. Midsegment Theorem for Trapezoids -The midsegment of a trapezoid is ______________________ to each base, and its length is ___________ the ________________ of the lengths of the bases. Examples: (All these figures are Trapezoids.)