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# Geometry Unit 8

Parallelogram a quadrilateral with both pairs of opposite sides parallel.
Rhombus a parallelogram with four congruent sides.
Rectangle a parallelogram with four right angles.
Square a parallelogram with four congruent sides and four right angles.
Kite a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent.
Trapezoid a quadrilateral with exactly one pair of parallel sides.
Isosceles Trapezoid a trapezoid whose nonparallel opposite sides are congruent.
Theorem 6.1 Opposite sides of a parallelogram are congruent.
Theorem 6.2 Opposite angles of a parallelogram are congruent.
Theorem 6.3 The diagonals of a parallelogram bisect each other.
Theorem 6.4 If three (or more) parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.
Theorem 6.5 If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
Theorem 6.6 If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram.
Theorem 6.7 If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Theorem 6.8 If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Theorem 6.9 Each diagonal of a rhombus bisects two angles of the rhombus.
Theorem 6.10 The diagonals of a rhombus are perpendicular.
Theorem 6.11 The diagonals of a rectangle are congruent.
Theorem 6.12 If one diagonal of a parallelogram bisects two angles of the parallelogram, then the parallelogram is a rhombus.
Theorem 6.13 If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.
Theorem 6.14 If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
Base angles of a trapezoid Two angles that share a base of a trapezoid.
Theorem 6.15 The base angles of an isosceles trapezoid are congruent.
Theorem 6.16 The diagonals of an isosceles trapezoid are congruent.
Theorem 6.17 The diagonals of a kite are perpendicular.
Midsegment of a trapezoid The segment that joins the midpoints of the nonparallel opposite sides.
Trapezoid Midsegment Theorem 1) The midsegment of a trapezoid is parallel to the bases.2) The length of the midsegment of a trapezoid is half the sum of the lengths of the bases.
Created by: BGuice