professionalsnero.blogg.se - Properties of a rectangle labeled

The properties of rectangles state that the diagonals bisect each other and are congruent. Any other polygon is an irregular polygon, which by definition has unequal length sides and unequal angles between sides.Ĭircles and shapes that include curves are not polygons - a polygon, by definition, is made up of straight lines. The side labeled 4x - 5 will not be used when solving for x.

There are two main types of polygon - regular and irregular.Ī regular polygon has equal length sides with equal angles between each side. There are names for many different types of polygons, and usually the number of sides is more important than the name of the shape. The ‘poly-‘ prefix simply means ‘multiple’, so a polygon is a shape with multiple sides, in the same way that ‘polygamy’ means multiple spouses. An Olympic heptathlon has seven events – a heptagon has seven sides.The modern pentathlon has five events – a pentagon has five sides.A decade is ten years – a decagon has ten sides.An octopus has eight legs – an octagon has eight sides.These can sometimes be useful in helping you remember how many sides a polygon has. The Greek numerical prefix occurs in many names of everyday objects and concepts. The names of polygons are derived from the prefixes of ancient Greek numbers. One with one obtuse angle and two acute angles is called obtuse (obtuse-angled), and one with a right angle is known as right-angled.Įach of these will also be either equilateral, isosceles or scalene.

The internal angles of a triangle always add up to 180°.Ī triangle with only acute internal angles is called an acute (or acute-angled) triangle. Triangles can also be described in terms of their internal angles (see our page on Angles for more about naming angles).

Scalene – all three sides, and all three internal angles, are different.

Isosceles – has two equal sides, with the third one a different length.

Equilateral – all the sides are equal lengths, and all the internal angles are 60°.

There are several different types of triangle (see diagram), including: Three-Sided Polygons: TrianglesĪ three-sided polygon is a triangle. Polygons are usually defined by the number of sides that they have.

The angles between the sides of the shape.

The median of a trapezoid is parallel to the bases and is one-half of the sum of measures of the bases.When working with polygons the main properties which are important are: In an isosceles trapezoid the diagonals are always congruent. If the legs are congruent we have what is called an isosceles trapezoid. The parallel sides are called bases while the nonparallel sides are called legs. If we have a quadrilateral where one pair and only one pair of sides are parallel then we have what is called a trapezoid. The properties of parallelograms can be applied on rhombi. If we have a parallelogram where all sides are congruent then we have what is called a rhombus.

Each diagonal of a parallelogram separates it into two congruent triangles.

The diagonals of a parallelogram bisect each other.

If one angle is right, then all angles are right.

Polygons are clipped to the view rectangle, and the largest polygon is used.

• Consecutive angles are supplementary (A + D = 180°). To label linear features (such as a road or river), the .

Opposite sides are congruent (AB = DC).

There are six important properties of parallelograms to know: It is a quadrilateral where both pairs of opposite sides are parallel.

One special kind of polygons is called a parallelogram.