

A square and a rhombus are also particular cases of this class. quadrilaterals with perpendicular diagonals.

Kite and dart are examples of orthodiagonal quadrilaterals, i.e. However, if the kite is concave, a dart is a more appropriate term. A quadrilateral with two separate pairs of equal adjacent sides is commonly called a kite. A trapezoid, in which the non-parallel sides are equal in length, is called isosceles. If only one pair of opposite sides is required to be parallel, the shape is a trapezoid. A quadrilateral with the opposite side lines parallel is known as a parallelogram. In a square, rectangle, or rhombus, the opposite side lines are parallel. the one with all sides equal, is a rhombus. the one with all angles equal is a rectangle. It follows that, in a square, all angles measure 90°. Angles in any quadrilateral add up to 360°. Starting with the most regular quadrilateral, namely, the square, we shall define other shapes by relaxing its properties.Ī square is a quadrilateral with all sides equal and all angles also equal. The shapes of elementary geometry are invariably convex. The point of intersection of the sides is not considered a vertex of the quadrilateral. A quadrilateral that is not simple is also known as self-intersecting to indicate that a pair of his non-adjacent sides intersect. So that two non-adjacent sides do not cross. In either case, the quadrilateral is simple, which means that the four sides of the quadrilateral only meet at the vertices, two at a time. The seldom used term quadrangle has exactly the same meaning as quadrilateral, however the two related terms - complete quadrangle and complete quadrilateral - describe essentially different configurations.Ī quadrilateral may be convex or concave (see the diagram below.) A quadrilateral that is concave has an angle exceeding 180 o. Although we use words like pentagon and polygon, the term quadrilateral has completely replaced tetragon. The Latin term is a partial translation of Greek tetragon, literally "four angles," since a closed figure with four angles also has four sides. Quadrilateral (noun, adjective): the first element is from Latin quadri- "four" from the Indo-European root k wetwer- "four." The second element is from Latin latus, stem later-, "side," of unknown prior origin. Quadrilateral is a geometric shape that consists of four points ( vertices) sequentially joined by straight line segments ( sides).
