# Math Dictionary c

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**C**

**Cartesian coordinates :**An ordered pair of real numbers that establishes the location or address of a point in a coordinate plane using the distances from two perpendicular intersecting lines called the coordinate axes.

**Cartesian plane :**The set of all points in a plane designated by their Cartesian coordinates.

**Center of a dilation :**A fixed point in the plane about which all points are expanded or contracted; the only invariant point under dilation.

**Center of gravity :**The balance point of an object.

**Center of a regular polygon**The center of the circle which circumscribes or inscribes a regular polygon.

**Center of a rotation :**A fixed point in the plane about which all points are rotated.

**Center-radius equation of a circle :**The form of the equation of a circle with center (h, k) and radius r given by the formula (x − h)

^{2}+ ( y − k )

^{2}= r

^{2}.

**Central angle :**An angle in a circle with vertex at the center of the circle and sides that are radii.

**Central angle of a regular polygon :**An angle in a regular polygon with vertex at the center of the polygon and sides that are radii of its circumcircle.

**Centroid :**The point of concurrency of the medians of a triangle; the center of gravity in a triangle.

**Chord :**A line segment joining any two points on a circle. The diameter is the largest chord of a circle.

**Circle :**The set of all points (or locus of points) in a plane that are a fixed distance, (called the radius) from a fixed point, (called the center).

**Circle graph :**Pie chart is called a circle graph.

**Circumcenter :**The center of the circle circumscribed about a polygon; the point that is equidistant from the vertices of any polygon.

**Circumcircle "**A circle that passes through all of the vertices of a polygon. Also called a circumscribed circle.

**Circumference :**The length of or distance around a circle. The formula for circumference is C= 2π r =π d

**Clockwise :**The direction in which the hands of a clock move around the dial. Used to indicate the orientation of a transformation.

**Closure :**A set "S" and a binary operation "*" are said to exhibit closure if applying the binary operation to any two elements in "S" produces a value that is a member of "S".

**Collinear points :**Points that lie on the same line.

**Common tangents :**Lines that are tangent to two or more circles.

**Construction :**In Geometry, it means to draw shapes, angles or lines accurately.

**Construction of Angles :**It needs mainly compass and ruler.

**Construction of Triangles :**Construction of Triangles one needs to know three values (either sides S or angles A): SSS, SAS, ASA and right triangle ( HL or RHS )

**Complementary angles :**Two angles the sum of whose measures is 90 degrees.

**Composition of functions :**A way of combining functions in which the output of one function is used as the input of another function; the formation of a new function h from functions f and g using the rule

h(x) = g 0 f (x) = g [ f (x)] for all x in the domain of f for which f (x) is in the domain of g .

**Compound locus:**A set of points satisfying two or more locus conditions.

**Compound statement :**A statement formed from two or more simple statements using the logic connectives, or, and, if...then, or if and only if.

**Concave polygon :**A polygon that has at least one diagonal outside the polygon. concave polygon

**concentric circles**Two or more circles having the same center and different radii.

**Conclusion :**An answer or solution arrived at through logical or mathematical reasoning; the "then" clause in an "if-then" statement; the final statement in a proof which follows logically from previous true statements.

**Concurrence :**The concept of three or more lines intersecting in a single (common) point; having a single point of intersection.

**Conditional statement :**A statement formed from two given statements by connecting them in the form if..., then...

**Cone :**A solid formed by a circular region (the base) and the surface formed by the straight line segments connecting points on the boundary of the base with a fixed point (the vertex) not in the plane of the base.

**Conjecture :**An educated guess; an unproven hypothesis based on observation, experimentation, data collection, etc.

**Conjunction :**A compound statement formed using the word "and".

A conjunction is true only if both clauses are true.

**Congruent :**Having the same size and shape. Two angles are congruent if the have the same measure. Two polygons are congruent if their exists a one-to-one correspondence between their vertices such that their corresponding sides are congruent and their corresponding angles are congruent.

**Conic sections :**The plane section created by the intersection of a plane and a cone.Example : Parabola,ellipse circle etc.

**Consistency :**A property of an axiomatic system where no axiom(s) can be used to contradict any other axiom(s).

**Constant of proportionality :**The number representing the ratio of any two corresponding sides in two similar geometric figures.

**Construct :**To draw a figure using only a compass and a straightedge.

**Constraints :**Any restriction placed on the variables in a problem.

**Contradiction :**A statement that has been shown to be both true and false.

**Contrapositive of a statement :**A statement formed by interchanging the hypothesis and conclusion of a conditional statement and negating each clause.

**Converse of a statement :**A statement formed by interchanging the hypothesis and conclusion of a conditional statement

**Convex polygon :**A polygon is convex if a line segment connecting any two points of the polygon lies entirely in the polygon’s interior.

**Coordinate geometry :**An approach to geometry in which a point is represented by coordinates and algebraic methods of reasoning are used; also called analytical geometry.

**Coordinate plane :**The set of all points in a plane designated by their Cartesian coordinates. Also called the Cartesian plane.

**Coplanar :**Any three or more points that lie in the same plane.

**Corresponding angles :**

A set of angles formed on each of two or more lines cut by a transversal that are in the same position relative to each line and to the transversal.Angle formed at the letter

**"F"**

**Corresponding parts**In two geometric figures, the points, sides, and/or angles which are in the same relative position when the figures are placed in a one-to-one correspondence.

**Counterclockwise :**The direction opposite the way in which the hands of a clock move around the dial. Used to indicate the orientation of a rotation.

**Counterexample :**An example that disproves a general statement.

**Crossection :**A plane section perpendicular to the longest axis of a solid.

**Cube :**A polyhedron with six square faces. A cube (or hexahedron) is one of the five platonic solids.

**Cyclic Quadrilateral :**A quadrilateral is called cyclic quadrilateral if its all vertices lie on a circle.

**Math Dictionary c**

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