An angle is BISECTED if it is divided into two smaller, equal angles by a line passing through its vertex.
A COMPASS is a mechanical device for drawing a circle with a given center and a given radius.
The CONJUGATE of a+b is a-b. The conjugate of a radical expression x+├y is x-├y.
The CUBE ROOT of a number x is the number whose cube is x.
A polynomial consisting of the difference of the square powers of two expressions is a DIFFERENCE OF SQUARES.
The INDEX of a radical indicates what order of root is to be taken of the radicand.
The set of IRRATIONAL numbers is {x|x is a real number that is not rational}. Irrational numbers cannot be written as fractions with integer numerators and denominators.
A PENTAGON is a plane figure which has five sides and five angles. A REGULAR PENTAGON has five equal sides and five equal angles.
A number with a rational square root is called a PERFECT SQUARE.
A POLYGON is a plane figure consisting of n sides and n angles.
A POTENTIAL SOLUTION of a radical equation is a ╥solution╙ which results from a correct set of solving steps, but which has not yet been checked in the original radical equation to see if it really is a solution.
For EVEN indices n (square root, fourth root, etc.), the PRINCIPAL ROOT of a number is the positive nth root.
The PRODUCT RULE FOR SQUARE ROOTS states that the product of the same-index roots of two or more expressions is equal to the same-index root of their product.
The PYTHAGOREAN FORMULA states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the two sides of the triangle.
The QUOTIENT RULE FOR SQUARE ROOTS states that the quotient of the same-index roots of two expressions is equal to the same-index root of their quotient.
A radical sign with a radicand is called a RADICAL.
The number or expression under a radical sign is called the RADICAND.
The RADIUS of a circle is the distance from its center to any point on its edge. A radius of a circle is also a line segment drawn from the center to the edge.
The set of RATIONAL numbers is {x|x is a quotient of integers, with the denominator not 0}.
The process of changing the denominator of a fraction from a radical (irrational number) to a rational number is called RATIONALIZING the denominator.
The RECIPROCAL of a nonzero real number x is its multiplicative inverse, 1/x. For any nonzero real number x, xÑ(1/x) = 1.
The SQUARE ROOT of a number x is the number whose square is x.
A STRAIGHTEDGE is a mechanical device (like a ruler) for drawing a straight line between two given points. Unlike rulers and other measuring devices, a straightedge has no measurements marked off on it.
Two line segments which intersect in a single point ,which is an endpoint of each, form an angle. The intersection point is the VERTEX of the angle.
