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  Lines and Angles Homework Help - K-12 Grade Level, College Level Mathematics

Introduction of Line:

The terms of Line or Straight Line was invented by ancient mathematicians to show up straight objects with negligible width and depth. The Lines are an idealization of such these types of objects. Thus, until past 17th century, lines were identified as like this: "The line is the first type of quantity, that has only single dimension, that is length, without marked with any depth nor width, and this is nothing else than the flow or run of the point that will leave from its imaginary touching some vestige in length exempt of any width. The straight line is uniformly extended between its points"

Euclid defined line as "breadthless length", and it was introduced several postulates as basic unprovable properties from which he made the geometry, which is now known as Euclidean geometry to avoid confusion with other geometries which have been described since the end of nineteenth century (like non-Euclidean geometry, projective geometry, and affine geometry).

 

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Angels

In geometry theory, an angle is the figure which is formed by two rays, known the sides of the angle, sharing one endpoint, known the vertex of the angle. Angles are commonly pre- assumed to be in a Euclidean plane, but are also defined in non-Euclidean geometry.

 

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Angle is also used to designate the calculate of an angle or of a rotation. This determination is the ratio of length of circular arc by its radius. In case of an angle, the arc is centered at the vertex & delimited by the sides. In case of a rotation, the arc is centered at the center of the rotation and delimited by any point and its image by the rotation.

Type of angle

Description

Acute Angle

an angle that is less than 90°

Right Angle 

an angle that is 90° exactly

Obtuse Angle

an angle that is greater than 90° but less than 180°

Straight Angle

an angle that is 180° exactly

Reflex Angle

an angle that is greater than 180°

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