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Explain why a line segment is considered a defined term in geometry?
A point is an undefined term. But given two points, they can be joined using a line segment.
What are figures that could be formed using undefined terms?
All geometric figures.
Why can't all linear equations be written using point slope?
Because of undefined slope, because undefined slope does not have a slope it doesn't have anything to substitute for m in the point slope equation.
Why line point and plan exist will in fact they are undefined?
They are undefined because they can't be described without using words that are themselves undefined. For example a point has no dimensions. It is a location, or position. But if you describe it that way you have to define location or position. You can't define backwards infinitely, so we accept the meanings of these things as intuitively clear without definitions because they are the building blocks of geometry and are needed to define much more complex terms.
What is the equation of a horizontal and a vertical line using standard slope form?
We usually denote the slope of a line as M. Horizontal lines have a slope of zero. Mhorizontal line = 0 Verticle lines have a slope that is undefined. Note that the slope is not infinite, but is undefined. Mvertical line = undefined To write the equation of a horizontal or vertical line, we need to know if it's going to be a slope-intercept form or a point-slope form.
Explain why a line segment is considered a defined term in geometry?
A point is an undefined term. But given two points, they can be joined using a line segment.
What are figures that could be formed using undefined terms?
All geometric figures.
What word is defined by the description of something unfamiliar using familiar terms?
"Analogy" is defined as the description of something unfamiliar using familiar terms.
Why can't all linear equations be written using point slope?
Because of undefined slope, because undefined slope does not have a slope it doesn't have anything to substitute for m in the point slope equation.
Why line point and plan exist will in fact they are undefined?
They are undefined because they can't be described without using words that are themselves undefined. For example a point has no dimensions. It is a location, or position. But if you describe it that way you have to define location or position. You can't define backwards infinitely, so we accept the meanings of these things as intuitively clear without definitions because they are the building blocks of geometry and are needed to define much more complex terms.
Why it is called undefined terms in geometry?
In geometry, definitions are formed using known words or terms to describe a new word. There are three words in geometry that are not formally defined. These three undefined terms are point, line and plane.POINT (an undefined term)In geometry, a point has no dimension (actual size). Even though we represent a point with a dot, the point has no length, width, or thickness. A point is usually named with a capital letter. In the coordinate plane, a point is named by an ordered pair, (x,y).LINE (an undefined term)In geometry, a line has no thickness but its length extends in one dimension and goes on forever in both directions. A line is depicted to be a straight line with two arrowheads indicating that the line extends without end in two directions. A line is named by a single lowercase written letter or by two points on the line with an arrow drawn above them.PLANE (an undefined term)In geometry, a plane has no thickness but extends indefinitely in all directions. Planes are usually represented by a shape that looks like a tabletop or wall. Even though the diagram of a plane has edges, you must remember that the plane has no boundaries. A plane is named by a single letter (plane m) or by three non-collinear points (plane ABC).Undefined terms can be combined to define other terms. Noncollinear points, for example, are points that do not lie on the same line. A line segment is the portion of a line that includes two particular points and all points that lie between them, while a ray is the portion of a line that includes a particular point, called the end point, and all points extending infinitely to one side of the end point.Defined terms can be combined with each other and with undefined terms to define still more terms. An angle, for example, is a combination of two different rays or line segments that share a single end point. Similarly, a triangle is composed of three noncollinear points and the line segments that lie between them.Everything else builds on these and adds more information to this base. Those added things include all the theorems and other "defined" terms like parallelogram or acute angle.
How can you describe an objects position?
An object's position can be described in terms of its distance and direction from a reference point. It can also be described using coordinates in a given coordinate system. Additionally, relative positions can be described using terms like above, below, in front of, or behind another object.
Which of these terms is defined as observations that are made using the scientific method and used as evidence?
data
Which measure in the metric system is defined by using an object for a referent?
The kilogram is the measure in the metric system that is defined using an object for a referent. It was previously defined by a physical object known as the International Prototype of the Kilogram, but is now defined in terms of a fundamental constant of nature called Planck's constant.
Where is the position of an object?
The position of an object is its location in space relative to a reference point or coordinate system. It is typically described using coordinates or distance measurements in one, two, or three dimensions.
What is the perspective from which a narrator tells a story called?
The perspective from which a narrator tells a story is called the point of view. This can include first person (using "I"), second person (using "you"), or third person (using "he," "she," "they").
What is a object's position change is described in terms of a reference point?
An object's position change is described in terms of a reference point by measuring the distance and direction the object has moved from that reference point. This can be done using coordinates, vectors, or distance measurements relative to the reference point.
