Geometric Relationships Flashcards
What is a coordinate point?
A pair of numbers defining the position of a point on a two-dimensional plane
It is often represented as (x, y) where x and y are the coordinates.
What does the Converse of the Pythagorean Theorem state?
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
This theorem is fundamental in determining whether a triangle is right-angled.
What is the hypotenuse of a right triangle?
The side of a right triangle that is directly across from the right angle
It is the longest side of the triangle.
What are the legs of a right triangle?
Either of the two shorter sides of a right triangle
These two sides form the right angle.
What is the altitude of a solid?
The perpendicular distance from the top down to the base
It represents the height of the solid.
What is a cone?
A 3-dimensional figure with a circular or elliptical base and one vertex
The vertex is the point where the sides meet.
What is a geometric solid?
The collective term for all bounded 3-dimensional geometric figures
Examples include cubes, spheres, and cones.
What is a rational number?
Any number that can be expressed as the quotient a/b of two integers, with the denominator b not equal to zero
Rational numbers include integers, fractions, and finite decimals.
What is a perfect cube?
The cube of a number n, which is its third power, resulting from the number multiplying by itself three times
For example, 2^3 = 8.
What is a cube root?
One of three identical factors of a number that is the product of those factors
For example, the cube root of 27 is 3, since 3 × 3 × 3 = 27.
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Sphere The ser of au points in space that are e auidistante
from a fixed points
caned the center.
Diameter distance across the arcle throngn its center. The
line segment that in ludes the center and whale endpoints
Vie on the uncle.
raght Triangles. A triangle with exoutly oneright angle:
Distance Formula - An application of the pytha gorean heurem
bared on the distance bexween two points
perfor Janaress- The product of a rational number multiplied
by irself.
Altitude of a triangle - The perpindi lordstante between
avertex or a triangle and the side apposite that vertex. Sumetimes
Lalted the height of a triangle. Also sometimer the line segnent
issert is referred to as the altrude.
Irrational - A real number Whose demar farm is non- terminating
and non-terminating that cannot be written as the vatio or 2:
integers
PYthagorean Triples - A set of positive integers
a
they sit the rule a’+6=131
toral EQuation = An eQuation with more than one
varicide
tormulas arrelteraleavations.
Radius - distance from the center of a circle to any point on the
virule. Also sheline segment that has the center of the wille
as one endpois and a point un the linkle as the other cropoint.
Coordimate plane - A two-dimensional surfale on which points are
Hotted and located bas their x ty coordinatess
Radical - A symbol that is used tu indicate samote voots.
Cylinder- A 3 dimensional obsert WHh
to parranes
congruent
and circular bases
Py thagorean Theorems A theoroem that states that in an
ngint angle
the square of the length at he hypotenuse quar
the sum or the sauares of the lengths of the legs.
Dedweave Reasoning- process by which one mines (onentions.
wing known touts
demnitoes
Base /ar a polygon) fer dimen renal eguver any side lan
peabase. Mpicamy
nowever the betten side on which
the polygon fits’ is caned the base
root - the I root of a number is a sperial value.
that When mutiphd by Adelf gives the numben
2 volumes amount of space their an dosest takes up
chalpoint
ich points are
