# Math Dictionary i

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**Icosahedron :**A polyhedron having twenty faces. A regular icosahedron is one of the five Platonic solids and has twenty equilateral triangles as faces.

**Identity elements:**For a binary operation * and a set S, Ι is the identity element if a * Ι = a and Ι * a = a for every element a that is in S.

**Image:**The resulting point or set of points under a given transformation; in any function f , the image of x is the functional value f (x) corresponding to x .

**Improper fraction :**An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number). In other words, it is top-heavy.

**Inch :**An inch is a measure of length. There are 12 inches in a foot, and 36 inches in a yard.

**Incenter of a triangle:**The center of the circle that is inscribed in a triangle; the point of concurrence of the three angle bisectors of the triangle which is equidistant from the sides of the triangle.

**Included angle:**The interior angle formed by two sides of a polygon.

**Included side:**The side between two consecutive angles in a polygon.

**Independent Event :**An outcome that is not affected by previous outcomes.

**Indirect proof:**A method of proof in which the statement that is to be proven is assumed false and a contradiction results.

**Inductive reasoning:**The process of observing data, recognizing patterns and making generalizations about those patterns.

**Inequality :**An inequality says that two values are not equal.a ≠ b says that a is not equal to b.

There are other special symbols that show in what way things are not equal.

a < b says that a is less than b

a > b says that a is greater than b

(those two are known as strict inequality)

a ≤ b means that a is less than or equal to b

a ≥ b means that a is greater than or equal to b.

**Inscribed angle:**An angle whose vertex lies on the circle and whose sides are chords of a circle.

**Inscribed circle:**A circle in the interior of a polygon that is tangent to each side of the polygon.

**Intercepted arc:**An arc of a circle whose endpoints lie on the sides of an angle, and all of the points on the arc are in the interior of the angle.

**Infinite :**Without an end. Not finite.

**Infinity:**An idea that something never ends. It is sometimes used like a number but it is not really. The symbol is ∞.(

**Inradius :**Another name of Apothem.

**Integer :**ncludes the counting numbers {1, 2, 3, ...}, zero {0}, and the negative of the counting numbers {-1, -2, -3, ...}

**Interior:**The set of all points inside a geometric figure.

**Interest :**Money paid for the use of other money.

**Intersecting lines:**Lines that share a common point.

**Intersection of sets:**The intersection of two or more sets is the set of all elements that are common to all of the given sets.

**Invariant:**A figure or property that remains unchanged under a transformation of the plane.

**Inverse of a statement:**A statement formed by negating both the hypothesis and conclusion of a given conditional.

**Irrational numbers :**An Irrational Number is a real number that cannot be written as a simple fraction.(math dictionary i)

**Isometry :**A transformation of the plane that preserves distance.

**Isosceles trapezoid:**A trapezoid in which the non-parallel sides are congruent.

**Isosceles triangle :**A triangle that has at least two congruent sides.

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