MATH-UA 120 Lecture Notes - Lecture 6: Internal And External Angles, Heptagon, Nonagon
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If one angle in a quadrilateral is a right angle, then it"s a rectangle. If the diagonals of a parallelogram are congruent, then it"s a rectangle. Rhombus parallelogram with two congruent consecutive sides. If all sides of a quadrilateral are congruent, then it"s a rhombus. If the diagonals of a quadrilateral bisect all the angles, then it"s a rhombus. If the diagonals of a quadrilateral are perpendicular bisectors of each other, then it"s a rhombus. If two consecutive sides of a parallelogram are congruent, then it"s a rhombus. If either diagonal of a parallelogram bisects two angles, then it"s a rhombus. If the diagonals of a parallelogram are perpendicular, then it"s a rhombus. Square rhombus with a right angle / rectangle with congruent consecutive sides. If a quadrilateral has four congruent sides and four right angles, then it"s a square. If two consecutive sides of a rectangle are congruent, then it"s a square.