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Parallel and Perpendicular lines
Non Rigid Transformations (Dilations)
Properties of Quadrilaterals
Rigid Motions (Isometries)
Relationships Within Triangles
More coordinate proofs with quadrilaterals
In geometry, a quadrilateral (from the Latin quadri, "four", and latus, "side") is a polygon with four edges and four vertices or corners. Sometimes, the term quadrangle is used in mathematics for a quadrilateral with no "special" angles. A quadrilateral with four equal length sides is a square, and a quadrilateral with four right angles is a rectangle. A parallelogram is a type of quadrilateral.
Paralleolograms and other quadrilateral coordinate proof examples
In geometry, the term parallelogram refers to any quadrilateral with four sides of equal length and opposite sides parallel. The word is sometimes used to refer to any quadrilateral, though some writers use it to mean that the opposite sides are parallel and equal in length. In either case, the word parallelogram is sometimes used to refer to a rectangle, and a rhombus is a type of parallelogram.
Perimeter and area of polygons in the plane intro
A polygon is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed polygonal chain or circuit. The solid plane region, the bounding circuit, or the two together, may be called a polygon.
Perimeter and area of polygons using coordinates examples
In geometry, the perimeter is the boundary of a polygon. The perimeter of a polygon is the sum of the lengths of its sides. The perimeter of a regular polygon is calculated using the following formula: n*s where s is the sides and n is the number of sidesand in the polygon.
Triangle Coordinate Proof Intro
In mathematics, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of a point or other geometric element on a manifold such as Euclidean space. The order of the coordinates is significant, and they are sometimes identified by their position in an ordered tuple and sometimes by a letter, as in "the x-coordinate". The coordinates are taken to be real numbers in elementary mathematics, but may be complex numbers or elements of a more abstract system such as a commutative ring. The use of a coordinate system allows problems in geometry to be translated into problems about numbers and vice versa; this is the basis of analytic geometry.
Triangle coordinate proof examples
In mathematics, a triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices "A", "B", and "C" is denoted ? "ABC".