Search

2.1: Basic Geometric Concepts and Figures
https://math.libretexts.org/Courses/Chabot_College/Math_in_Society_(Zhang)/02%3A_Geometry/2.01%3A_Basic_Geometric_Concepts_and_Figures
You use geometric terms in everyday language, often without thinking about it. For example, any time you say “walk along this line” or “watch out, this road quickly angles to the left”, you are using ...You use geometric terms in everyday language, often without thinking about it. For example, any time you say “walk along this line” or “watch out, this road quickly angles to the left”, you are using geometric terms to make sense of the environment around you. In the world of mathematics, each of these geometric terms has a specific definition. It is important to know these definitions—as well as how different figures are constructed—to become familiar with the language of geometry.
6.1: Angles and Basic Geometry
https://math.libretexts.org/Courses/Cosumnes_River_College/Math_384%3A_Foundations_for_Calculus/06%3A_Triangles_and_Circles/6.01%3A_Angles_and_Basic_Geometry
Before jumping into Trigonometry, we need to build a solid foundation. This section provides the fundamental building blocks for working with the most basic quantity in Trigonometry - the angle. We de...Before jumping into Trigonometry, we need to build a solid foundation. This section provides the fundamental building blocks for working with the most basic quantity in Trigonometry - the angle. We delve into as much detail about angles as we dare, without introducing unnecessary topics. We cover a little bit of required Geometry for success in Trigonometry, and wrap things up with a brief geometric review of circles (another foundational topic for Trigonometry).
1.1: Angles and Basic Geometry
https://math.libretexts.org/Courses/Cosumnes_River_College/Math_373%3A_Trigonometry_for_Calculus/01%3A_Triangles_and_Circles/1.01%3A_Angles_and_Basic_Geometry
Before jumping into Trigonometry, we need to build a solid foundation. This section provides the fundamental building blocks for working with the most basic quantity in Trigonometry - the angle. We de...Before jumping into Trigonometry, we need to build a solid foundation. This section provides the fundamental building blocks for working with the most basic quantity in Trigonometry - the angle. We delve into as much detail about angles as we dare, without introducing unnecessary topics. We cover a little bit of required Geometry for success in Trigonometry, and wrap things up with a brief geometric review of circles (another foundational topic for Trigonometry).
6.1: Basic Geometric Concepts and Figures
https://math.libretexts.org/Bookshelves/Applied_Mathematics/Math_For_Liberal_Art_Students_2e_(Diaz)/06%3A_Geometry/6.01%3A_Basic_Geometric_Concepts_and_Figures
You use geometric terms in everyday language, often without thinking about it. For example, any time you say “walk along this line” or “watch out, this road quickly angles to the left”, you are using ...You use geometric terms in everyday language, often without thinking about it. For example, any time you say “walk along this line” or “watch out, this road quickly angles to the left”, you are using geometric terms to make sense of the environment around you. In the world of mathematics, each of these geometric terms has a specific definition. It is important to know these definitions—as well as how different figures are constructed—to become familiar with the language of geometry.
2.3: Angle Classifications
https://math.libretexts.org/Courses/Rio_Hondo/NBAS022_-_Review_of_Geometry_Part_A/02%3A_Lines_Angles_and_Triangles/2.03%3A_Angle_Classifications
When two lines intersect as in EXAMPLE E, they form two pairs of angles that are opposite to each other called vertical angles, In Figure $\PageIndex{7}$ , $\angle x$ and $\angle x'$ are one pair...When two lines intersect as in EXAMPLE E, they form two pairs of angles that are opposite to each other called vertical angles, In Figure $\PageIndex{7}$ , $\angle x$ and $\angle x'$ are one pair of vertical angles. $\angle y$ and $\angle y'$ a.re the other pair of vertical angles, As suggested by Example $\PageIndex{5}$ , $\angle x = \angle x'$ and $\angle y = \angle y'$ .
5.1: Right, Acute and Obtuse Angles
https://math.libretexts.org/Bookshelves/Geometry/Euclidean_Plane_and_its_Relatives_(Petrunin)/05%3A_Perpendicular_lines/5.01%3A_Right_Acute_and_Obtuse_Angles
If $|\measuredangle AOB| = \dfrac{\pi}{2}$ , we say that $\angle AOB$ is right; If $|\measuredangle AOB| < \dfrac{\pi}{2}$ , we say that $\angle AOB$ is acute; If $\angle AOB$ is right, we say...If $|\measuredangle AOB| = \dfrac{\pi}{2}$ , we say that $\angle AOB$ is right; If $|\measuredangle AOB| < \dfrac{\pi}{2}$ , we say that $\angle AOB$ is acute; If $\angle AOB$ is right, we say also that $[OA)$ is perpendicular to $[OB)$ ; it will be written as $[OA) \perp [OB)$ . Show that $\angle XOA$ is acute if and only if $\angle XOB$ is obtuse. Since $|\measuredangle XOA|, |\measuredangle XOB| \le \pi$ , we get that $|\measuredangle XOA| + |\measuredangle XOB| = \pi$ .
9.1: Lines and Angles
https://math.libretexts.org/Courses/Las_Positas_College/Math_for_Liberal_Arts/09%3A_Geometry/9.01%3A_Lines_and_Angles
In this example, you may have noticed that angles ∠HJI, ∠IJF, and ∠HJM are all right angles. (If you were asked to find the measurement of ∠FJM, you would find that angle to be 90º, too.) This is what...In this example, you may have noticed that angles ∠HJI, ∠IJF, and ∠HJM are all right angles. (If you were asked to find the measurement of ∠FJM, you would find that angle to be 90º, too.) This is what happens when two lines are perpendicular—the four angles created by the intersection are all right angles.
1.3: Angle Classifications
https://math.libretexts.org/Bookshelves/Geometry/Elementary_College_Geometry_(Africk)/01%3A_Lines_Angles_and_Triangles/1.03%3A_Angle_Classifications
When two lines intersect as in EXAMPLE E, they form two pairs of angles that are opposite to each other called vertical angles, In Figure $\PageIndex{7}$ , $\angle x$ and $\angle x'$ are one pair...When two lines intersect as in EXAMPLE E, they form two pairs of angles that are opposite to each other called vertical angles, In Figure $\PageIndex{7}$ , $\angle x$ and $\angle x'$ are one pair of vertical angles. $\angle y$ and $\angle y'$ a.re the other pair of vertical angles, As suggested by Example $\PageIndex{5}$ , $\angle x = \angle x'$ and $\angle y = \angle y'$ .
12.1: Conceptos geométricos básicos y figuras
https://math.libretexts.org/Courses/Santiago_Canyon_College/HiSet_Mathematica_(Lopez)/12%3A_Geometria/12.01%3A_Conceptos_geometricos_basicos_y_figuras
Utilizas términos geométricos en el lenguaje cotidiano, muchas veces sin pensarlo. Por ejemplo, cada vez que dices “caminar por esta línea” o “cuidado, este camino rápidamente se orienta hacia la izqu...Utilizas términos geométricos en el lenguaje cotidiano, muchas veces sin pensarlo. Por ejemplo, cada vez que dices “caminar por esta línea” o “cuidado, este camino rápidamente se orienta hacia la izquierda”, estás usando términos geométricos para darle sentido al entorno que te rodea. En el mundo de las matemáticas, cada uno de estos términos geométricos tiene una definición específica. Es importante conocer estas definiciones —así como cómo se construyen diferentes figuras— para familiarizarse

Search

Text Color

Text Size

Margin Size

Font Type

Support Center

How can we help?