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Level 415

Real Numbers & the Coordinate Plane


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Converse of the Pythagorean Theorem
If a^2 + b^2 = c^2, then the triangle is a right triangle, where a and b are the lengths of the legs and c is the length of the hypotenuse of the triangle.
coordinate plane
A plan formed by the intersection of a horizontal number line called the x-axis and a vertical number line called the y-axis.
cube root
the number that is multiplied by itself three times
Hypotenuse
in a right triangle, the side opposite the right angle
Irrational Numbers
any number that cannot be expressed as a fraction.
Legs
in a right triangle, the sides that include the right angle; in an isosceles triangle, the pair of congruent sides
ordered pair
A pair of numbers that can be used to locate a point on a coordinate plane.
origin
The centre point of a number line (ground floor of a hotel, freezing point on a thermometer)
perfect cube
the product that results when three numbers are multiplied together
Perfect Square
the number that forms when two same numbers are multiplied together
Pythagorean Theorem
in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs
quadrants
Four regions into which a coordinate plane is divided by the x-axis and the y-axis
Rational Number
Any number that can be expressed as a ratio of two integers. Example; 6 can be expressed as 6/1, and 0.5 as 1/2.
real numbers
Any Number
Repeating Decimal
A decimal in which one or more digits repeat infinitely. Example: 0.757575...
Square Root
when multiplying a number by itself to get a square number
Terminating Decimal
A decimal number that ends or terminates. Example: 6.75
Triangle Inequality Theorem
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
x-axis
The horizontal axis on a coordinate plane.
x-Coordinate
is the first number in an ordered pair and it represents the location relative to the x-axis.
y-axis
The vertical axis on a coordinate plane.
y-Coordinate
The vertical measure, which is the second number in an ordered pair.
Rational numbers
Numbers that include integers, wholes, and natural numbers.
repeating decimals
a decimal that repeats the same digit or group of digits forever
square root of a number
a number that when multiplied by itself is equal to the given number
x axis
The horizontal axis on a coordinate graph, for the varaible that controls the other (an axis ia a line on a graph)
y axis
has the dependent variable, the vertical line on a graph