The theorem of Pythagoras

•T: the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides (legs) Polygons

•Def: a polygon is a plane geometric figure bounded by three or more sides. •Def: a polygon is convex if it contains all the points of a segment determined by any two points of the polygon. •Def:a polygon is concave if there are two points whose segment does not lie in the polygon.

•Polygons are named by the number of sides they have:

3	triangle
4	quadrilateral (tetragon)
5	pentagon
6	hexagon
7	heptagon
8	octagon
9	nonagon
10	decagon
...
15	15-gon
...
n	n-gon

Quadrilaterals

•Def: a diagonal is a segment which joins two nonconsecutive vertices of the polygon. •T: any quadrilaterals are divided by its diagonals into two triangles. Then the sum of the interior angles of a quadrilateral is 360°. •T: the sum of the exterior angles of the convex quadrilateral is equal to 360°. •Def: the perimeter of a polygon is the sum of the length of its sides.

Special cases of quadrilaterals

•Def: a parallelogram is a quadrilateral in which the opposite sides are parallel and the opposite angles are equal. •Def: a trapezoid (trapezium) is a quadrilateral which has two parallel sides. •Def: a rectangle is a parallelogram which has 4 right angles and in which the opposite sides are

•Def: a square is a parallelogram in which the angles are all right and the sides are all equal. •Def: a rhombus is a parallelogram which has four equal sides. •Def: a deltoid (or kite) is a quadrilateral which has two pairs of consecutive equal sides. equal.

Oldal: Quadrilaterals
Angol Matematika - © 2008 - 2024 - angolmatematika.hupont.hu

A HuPont.hu ingyen weblap készítő egyszerű. Weboldalak létrehozására: Ingyen weblap

ÁSZF | Adatvédelmi Nyilatkozat