Geometry: Important Definitions
Quadrilateral just means "four sides"
(quad means four, lateral means side).
Any four-sided shape is a Quadrilateral.
But the sides have to be straight, and it has to be2-dimensional.
A quadrilateral is defined as any two-dimensional, four-sided shape that has four vertices with interior angles that equal 360 degrees. There are several quadrilateral variations that include parallelograms, rectangles, rhombuses, squares, trapezoids, and kites.
Quadrilaterals
* Parallelogram – A parallelogram consists of two pairs of parallel sides. Opposite angles are equal. Rectangles, rhombuses, and squares are also considered parallelograms. * Rectangle – A rectangle has four sides; each side is a right angle (90°). * Rhombus – A rhombus has four sides, each one being of equal length and parallel to the opposite side. A rhombus with all right angles is a square. * Square – A square has four equal sides and four equal angles (90°). * Kite – A kite is a quadrilateral with two pairs of equal length, adjacent sides. * Trapezoid – A trapezoid is a quadrilateral that consists of 2 parallel sides.
Quadrilateral Examples
Properties * Four sides (edges) * Four vertices (corners) * The interior angles add up to 360 degrees:
Try drawing a quadrilateral, and measure the angles. They should add to 360°
Types of Quadrilaterals
There are special types of quadrilateral:
Some types are also included in the definition of other types! For example a square, rhombus and rectangleare also parallelograms. See below for more details.
Let us look at each type in turn:
The Rectangle | | | | | means "right angle" | | and | show equal sides | | | |
A rectangle is a four-sided shape where every angle is a right angle (90°).
Also opposite sides are parallel and of equal length.
The Rhombus
A rhombus is a four-sided shape where all sides have equal length.
Also opposite sides are parallel and opposite angles are equal.
Another
(quad means four, lateral means side).
Any four-sided shape is a Quadrilateral.
But the sides have to be straight, and it has to be2-dimensional.
A quadrilateral is defined as any two-dimensional, four-sided shape that has four vertices with interior angles that equal 360 degrees. There are several quadrilateral variations that include parallelograms, rectangles, rhombuses, squares, trapezoids, and kites.
Quadrilaterals
* Parallelogram – A parallelogram consists of two pairs of parallel sides. Opposite angles are equal. Rectangles, rhombuses, and squares are also considered parallelograms. * Rectangle – A rectangle has four sides; each side is a right angle (90°). * Rhombus – A rhombus has four sides, each one being of equal length and parallel to the opposite side. A rhombus with all right angles is a square. * Square – A square has four equal sides and four equal angles (90°). * Kite – A kite is a quadrilateral with two pairs of equal length, adjacent sides. * Trapezoid – A trapezoid is a quadrilateral that consists of 2 parallel sides.
Quadrilateral Examples
Properties * Four sides (edges) * Four vertices (corners) * The interior angles add up to 360 degrees:
Try drawing a quadrilateral, and measure the angles. They should add to 360°
Types of Quadrilaterals
There are special types of quadrilateral:
Some types are also included in the definition of other types! For example a square, rhombus and rectangleare also parallelograms. See below for more details.
Let us look at each type in turn:
The Rectangle | | | | | means "right angle" | | and | show equal sides | | | |
A rectangle is a four-sided shape where every angle is a right angle (90°).
Also opposite sides are parallel and of equal length.
The Rhombus
A rhombus is a four-sided shape where all sides have equal length.
Also opposite sides are parallel and opposite angles are equal.
Another