
Mathematical "I" Words icosahedron A polyhedron with twenty faces. identity transformation A transformation that maps each point onto itself. if and only
if statement
A statement consisting of a conditional and its converse. Also called
biconditional.
ifthen
statement A
statement of the form If... Then.... image
The result of applying a transformation to an original figure or preimage.
Transformations can be reflections, as seen in the example below, rotations,
translations or "slides", and glide reflections. image point A point resulting from applying a transformation. In the example above, C', read "C prime", is the image point of preimage point C. impossible event An event with a probability of 0 . inch
( in) The
base unit of length for the US system of measurement. included
angle
The angle formed by two consecutive sides of a polygon. included side The side between two consecutive angles of a polygon. indirect reasoning (proofs) Reasoning (proofs) using the Law of the Contrapositive, the Law of Ruling Out Possibilities, or the Law of Indirect Reasoning. inequality A sentence with one of the following symbols:
infinite decimal A decimal that goes on forever to the right of the decimal point. Some of these decimals repeat and some do not. The ones which do not are called irrational numbers examples of which are pi and the square root of two. infinite
repeating decimal A
decimal in which a digit or group of digits to the right of the decimal
point repeats forever. initial point The beginning point of a vector. inscribed
angle in a circle An
angle whose vertex is on the circle and whose sides each intersect the
circle at a point other than the vertex.
inscribed
circle
In a polygon, a circle which is tangent to, or touches, each side of the
polygon.
inscribed
polygon
In a circle, a polygon whose vertices all lie on the circle.
instance
An example of a pattern. instance
of a conditional A
specific case in which the antecedent (if part) of the conditional is
true and its consequent (then part) is also true. integer
A number which
is a positive whole number, a negative whole number, or zero. intercepted
arc
An arc of the circle in the interior of an angle. interior
angles When
two lines are cut by a transversal, the angles that are formed on the
inside of the two lines are known as interior angles.
interior of a circle The set of points at a distance less than the radius from the center of the circle. It's all of the points on the inside of the circle. interior
of an angle
A nonzero angle separates the plane into two sets of points. If the angle
is not straight, the convex set is the interior of the angle. international system of measurement A system of measurements based on the decimal system. Also called metric system. intersecting
planes
Two planes that contain the same line. intersection
of two sets The
set of elements which are in both the sets. interval on a scale The constant difference between successive tick marks on the scale of a graph. inverse
A conditional resulting from negating the antecedent and consequent of
the original conditional.
irrational number A number that cannot be written as a simple fraction. It is an infinite and nonrepeating decimal. Examples are "pi" and the square root of two. isometry A transformation that is a reflection or a composite of reflections. Also called congruence transformation or distancepreserving transformation. Reflections, rotations, translations or slides, and glide reflections are all isometries. isosceles
trapezoid A
trapezoid with a pair of non parallel sides the same measure. In an isosceles
trapezoid, the base angles will be congruent. isosceles
triangle A
triangle with two sides equal in length.
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