MATH-UA 121 Lecture Notes - Lecture 5: Isosceles Trapezoid, Parallelogram, Quadrilateral
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22 Sep 2016
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A quadrilateral with both pairs of opposite sides parallel. convex polygon a polygon whose interior angles all measure less than 180 degrees. Rectangle a parallelogram which contains a right angle. rhombus a parallelogram with a pair of congruent adjacent sides. square a rectangle with a pair of congruent adjacent sides. Theorem:the sum of the measures of the interior angles of a convex polygon with n sides is 180 ( n 2). The sum of the measure of the exterior angles (one to each vertex) of any polygon is 360 . the base angles of an isosceles trapezoid are congruent. the diagonal of an isosceles trapezoid are congruent. Properties of a rectangle: the diagonals are congruent, it is an equiangular quadrilateral, all the properties of a parallelogram, it contains four right angles. Properties of a square: all the properties of a triangle, all the properties of a rhombus, it"s a regular quadrilateral, all four angles are right angles.