Unit 9 Flashcards
The value inside a square root
Radicand
Any number that can be expressed as a ratio of integers a/b where b does not equal 0
Rational
Any number that can not be expressed as a ratio of integers a/b
Irrational
Any value raised to the power of 2
Perfect square
A power of 1/3, written using the radical sign and determines the length of each edge of a cube with any given volume
Cube root
Any value raised to the power of 3
Perfect cube
A rule on math that must be proven true before accepted
Theorem
Relates the three sides of a right triangle, where a and b represent the two legs and c is the hypotenuse such that the sum of the squares of the legs equals the square of the hypotenuse (a2+ b2 = c2)
Pythagorean theorem
Three positive integers that satisfy the equation (a2 + b2 = c2)
Pythagorean triples
A statement beginning with “if” and concluding with “then”
Conditional statement
The part of a conditional statement that follows the word “if”
Hypothesis
The part of a conditional statement that follows the word “then”
Conclusion
A new statement created by switching the hypothesis and conclusion of a conditional statement
Converse
Derived from the Pythagorean Theorem, the formula calculates the distance between two points on the coordinate plane
Distance formula
From Latin for “chain”, the bar over the repeating digits in decimal notation
Vinculum
A power of 1/2, written using the radical sign and which determines the length of each side of a “square” with any given area
Square root