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geometry--vocabulary list 7 definitions
definition flashcards
9
Mathematics
10th Grade
05/05/2015

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Term
30-60-90 triangle
Definition
a right triangle whose acute angles have measures of 30° and 60°. It results from cutting an equilateral triangle in half.
Term
45-45-90 triangle
Definition
a right triangle whose acute angles each have a measure of 45°. It results from slicing a square in half along one of its diagonals. It is also referred to as an isosceles right triangle.
Term
altitude of a triangle
Definition
a segment that stretches from one vertex of a triangle to the line containing the side opposite that vertex and that is perpendicular to that opposite side.
Term
height of a triangle
Definition
the length of an altitude of a triangle
Term
Pythagorean theorem
Definition
a relationship between the squares of the lengths of the sides of a right triangle where a and b represent the lengths of the legs of the right triangle and c represents the length of the hypotenuse of the right triangle. The theorem states that a2 + b2 = c2
Term
Pythagorean triple
Definition
three natural numbers a, b and c that satisfy the Pythagorean theorem. That is a2 + b2= c2
Term
Pythagorean inequality
Definition
a relationship between the squares of the lengths of the sides of a triangle, where a and b represent the lengths of the shorter sides of the triangle and c represents the length of the longest side of the triangle. There are three cases: a2 + b2 = c2, which indicates a right triangle; a2 + b2 < c2 , which indicates an obtuse triangle; and a2 + b2 > c2, which indicates an acute triangle
Term
area
Definition
the number of non-overlapping unit squares of a given size that will exactly cover the interior of a figure
Term
perimeter
Definition
the distance around a closed, plane figure
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