![]() ![]() So all other quadrilaterals are irregular. The only regular (all sides equal and all angles equal) quadrilateral is a square. and that's it for the special quadrilaterals. one of the diagonals bisects (cuts equally in half) the other.the diagonals, shown as dashed lines above, meet at.The KiteĮach pair is made of two equal-length sides that join up. (the US and UK definitions are swapped over!)Īn Isosceles trapezoid, as shown above, has left and right sides of equal length that join to the base at equal angles. NOTE: Squares, Rectangles and Rhombuses are allĪ trapezoid (called a trapezium in the UK) has a pair of opposite sides parallel.Īnd a trapezium (called a trapezoid in the UK) is a quadrilateral with NO parallel sides: Also opposite anglesĪre equal (angles "A" are the same, and angles "B" The ParallelogramĪ parallelogram has opposite sides parallel and equal in length. In other words they "bisect" (cut in half) each other at right angles.Ī rhombus is sometimes called a rhomb or a diamond. That means that a regular octagon will have internal octagon angles of exactly 1080/8. The RhombusĪ rhombus is a four-sided shape where all sides have equal length (marked "s").Īlso opposite sides are parallel and opposite angles are equal.Īnother interesting thing is that the diagonals (dashed lines) meet in the middle at a right angle. For any octagons, the sum of all of its internal angles is always 1080. The SquareĪ square has equal sides (marked "s") and every angle is a right angle (90°)Ī square also fits the definition of a rectangle (all angles are 90°), and a rhombus (all sides are equal length). ![]() The little squares in each corner mean "right angle"Ī rectangle is a four-sided shape where every angle is a right angle (90°).Īlso opposite sides are parallel and of equal length. Method 1: Let us draw two squares made by using four right triangles with sides A, B, C, where A is the vertical side, B is the horizontal side, and C is the hypotenuse: Since both squares are the same size, we can say that their areas are equivalent. A square also fits the definition of a rectangle (all angles are 90), and a rhombus (all sides are equal length). Example 4.2.4: Proof - a2 + b2 c2, or the Pythagorean Theorem. A square has equal sides (marked 's') and every angle is a right angle (90) Also opposite sides are parallel. Let us look at each type in turn: The Rectangle the little squares in each corner mean 'right angle'. Some types are also included in the definition of other types! For example a square, rhombus and rectangle are also parallelograms. There are special types of quadrilateral: ![]() They should add to 360° Types of Quadrilaterals Some of the 2d shapes contain sides and corners, whereas some have curved boundaries. ![]() All the 2d shapes have various parameters such as area and perimeter. Try drawing a quadrilateral, and measure the angles. In maths, 2d shapes can be defined as the plane figures that can be drawn on a flat (or plane) surface or a piece of paper.
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