An angle is a measure of how far around something has gone. Think about the Earth going around the Sun, a journey that takes one year to complete. The degree measure of an angle is the amount of rotation from one side of the angle to other side.Ī rotation is a movement of an object in a circular motion. Realistically, anything you draw on paper is a line segment because it cannot go on forever! Remember, a line itself is infinite, and a line segment is a finite portion of that. Line Segments: The line segment of a line is the span between two endpoints. I will go into detail about postulates and theorems in future lessons titled GEOMETRIC PROOFS. All this becomes part of your new geometry vacabulary. In geometry, you will come across postulates and theorems needed for geometric proofs.Ī theorem is a statement that can be proved to be true.Ī postulate is a statement that is ASSUMED to be true WITHOUT proof. When two rays meet at a vertex, they form an angle. Why rays? Because they extend out to infinity in one direction. Sides AB and AC of the given angle are actually rays. So, angles can also be called angle 1 or angle 2 or angle 4, etc. (3) We can also name an angle by placing any number or symbol at the vertex in the INTERIOR of the angle. Of course, if there's more than one angle sharing the same vertex this would be confusing! For example, ABC, can also be called angle B the same applies to DEF (2) We can name angles by using the vertex.
The above angles are read "angle ABC" and "angle DEF." This leads us to the second way we can name angles. The middle letter is called the VERTEX of the angle. (1) We can name angles by using THREE capital letters like: ABC or DEF. What is an angle? Two rays that share the same endpoint form an angle. As a math tutor, I face many students who are totally lost in terms of angles.
GEOMETRY VOCAB HOW TO
Many students work with angles in math class but have no clue how to name those angles.
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