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Unit 8: Pythagorean Theorem & Irrational Numbers
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8th Grade Illustrative Math (Open Up Resources)
Terms in this set (14)
square root
a number that produces a specified quantity when multiplied by itself; mathematical relation to the side length of a square in regards to area
irrational number
a number that cannot be expressed as a fraction of the inverse of a fraction
square root symbol
also called a radical
diagonal
(geometry) a straight line connecting any two vertices of a polygon that are not adjacent
decimal approximation
a rounded decimal number that represents an irrational number
Pythagorean Theorem
the relationship between the side lengths of right triangles: in a right triangle, the square of the length of the hypotenuse (the longer side) is equal to the sum of the squares of the lengths of the legs
hypotenuse
the side of of a right triangle that is opposite the right angle; the longest side of a right triangle
legs (of a right triangle)
the sides of a right triangle that intersect at (or form) the right angle
Converse of the Pythagorean Theorem
If the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
edge length
the length of a side of a polygon
cube root
a number that when multiplied three times equals a given number; mathematical relation to the side length of a cube in regards to volume
decimal representation
decimal number form that can be terminating or non-terminating
infinite decimal expansion
a number written as a decimal fraction (decimal number), such that there is not last digit
repeating decimal
a decimal in which one or more digits repeat infinitely (without terminating)
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