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Geometry Section 8.5. Use Properties of Trapezoids and Kites. Quadrilateral with exactly one pair of parallel sides (bases) If the legs of a trapezoid are congruent, then it is an isosceles trapezoid. Trapezoid. base. leg. leg. base. Base angles.
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GeometrySection 8.5 Use Properties of Trapezoids and Kites
Quadrilateral with exactly one pair of parallel sides (bases) If the legs of a trapezoid are congruent, then it is an isosceles trapezoid Trapezoid base leg leg base Base angles
If a trapezoid is isosceles, then each pair of base angles is congruent Isosceles Trapezoid Theorems
If a trapezoid has a pair of congruent base angles, then it is and isosceles trapezoid.
The segment that connects the midpoints of its legs Midsegment of a trapezoid
The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases Midsegment Theorem for Trapezoids
A quadrilateral that has two pairs of consecutive congruent sides, but opposite sides are not congruent Kite
If a quadrilateral is a kite, then its diagonals are perpendicular Kite Diagonal Theorem
If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent Theorem
Examples • Classzone
Assignment • Section 8.5 • Page 546 • Problems #4 – 26 even, 34, 36