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Quadrilateral

Let four points A,B,C and D, no three of which are on the same line, the union of four segments AB, BC, CD, and DA, is called a quadrilateral if no two of these segments have a common point, other than a point from {A, B, C, D}

Diagonals of a Quadrilateral

are segments AC and BD. Vertices A and C (B and D) are opposite of each other

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Convex

a quadrilateral whose diagonals intersect

Parallelogram

a quadrilateral whose two pairs of opposite sides are parallel

AB || CD and BC || AD

Rectangle

a parallelogram in which all angles are right angles

Square

a rectangle in which all sides are congruent

Rhombus

parallelogram in which all sides are congruent

Circle

a set of points in the plane equidistant from a given point

Radius

every segment with one of its endpoints on the circle and the other endpoint the center of the circle

Chord

A segment with its endpoints on the circle

Diameter

A chord that contains the center of the circle

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Transversal

Given two lines l and l', any line t intersecting both lines l and l' and not passing through their intersection point.

tangent line

the line passing through a point on the circle and being perpendicular to the radius of the circle at that point

Cosine of an angle

in a right triangle, the ratio of the side adjacent to the angle and the hypotenuse

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