altitude of a triangle - pc\|macimages.pcmac.org/sisfiles/schools/ga/maconcounty/... · the...
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Altitude of a Triangle
The perpendicular distance between a vertex of a triangle and the side opposite that vertex. Sometimes called the
height of a triangle. Also, sometimes the line segment itself is referred to as the altitude.
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Base (of a Polygon)
For two-dimensional figures, any side can be a base. Typically, however, the bottom side, on which the polygon ‘sits,’ is called the base.
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Coordinate Plane
A two-dimensional surface on which points are plotted and located by their x and y coordinates.
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Coordinate Point of a Plane
A pair of numbers defining the position of a point on a two-
dimensional plane.
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Cone
A three dimensional figure with a circular or elliptical base and one
vertex.
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Converse of Pythagorean Theorem
If the square of the length of the longest side of a triangle is equal to the sum of the squares of
the lengths of the other two sides, the triangle is a right triangle.
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Cubed Root
One of three identical factors of a number that is the product of those
factors.
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Cylinder
A three dimensional object with two parallel, congruent, circular
bases.
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Deductive Reasoning
The process by which one makes conclusions using known facts, definitions, rules, or properties.
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Diameter
The distance across a circle through its center. The line segment that includes the center and
whose endpoints lie on the circle.
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Distance Formula
An application of the Pythagorean Theorem based on the distance
between two points.
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Geometric Solid
The collective term of all bounded three dimensional geometric
figures.
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Height of Solids
The vertical height (or altitude) which is the perpendicular distance
from the top down to the base.
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Hypotenuse
The hypotenuse is the side of a right triangle that is directly across
from the right angle.
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Irrational
A real number whose decimal form is non-terminating and non-repeating that cannot be
written as the ratio of two integers.
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Leg of a Triangle
Either of the two shorter sides of a right triangle. These two sides together form the
right angle in the right triangle.
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Literal Equation
An equation with more than one variable. Formulas are literal
equations.
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Perfect Squares
The product of a rational number multiplied by itself.
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Perfect Cubes
In arithmetic and algebra, the cube of a number n is its third power. It is the result of the number multiplying by itself three times.
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Pythagorean Theorem
A theorem that states that in a right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the
legs.
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Pythagorean Triples
A set of positive integers, a, b, and c that fit the rule a2 + b2 = c2.
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Sphere
The set of all points in space that are equidistant from a fixed point,
called the center.
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Square Root
The square root of a number is a special value that, when multiplied
by itself, gives the number.
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Radius
The distance from the center of a circle to any point on the circle. Also, the line segment that has the center of the circle as one endpoint and
a point on the circle as the other endpoint.
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Radical
A symbol that is used to indicate square roots.
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Rational Number
A number expressible in the form a/b or – a/b for some fraction a/b. The rational numbers
include the integers.
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Right Triangle
A triangle with exactly one right angle.
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Volume
Volume =27 cubic units
The amount of space occupied by an object.