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ANGLES Resources

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Bisectors of Triangles As you well know by now, being able to deduce key information from a limited set of facts is the basis of geometry. An important type of segment, ray, or line that can help us prove congruence is called an angle bisector. Understanding what angle bisectors are and how they affect triangle relationships is crucial as we continue our study of geometry. Let's investigate... read more

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Angle Properties of Triangles Now that we are acquainted with the classifications of triangles, we can begin our extensive study of the angles of triangles. In many cases, we will have to utilize the angle theorems we've seen to help us solve problems and proofs. However, there are some triangle theorems that will be just as essential to know. This first theorem tells us that if... read more

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Pairs of Angles In geometry, certain pairs of angles can have special relationships. Using our knowledge of acute, right, and obtuse angles, along with properties of parallel lines, we will begin to study the relations between pairs of angles. Complementary Angles Two angles are complementary angles if their degree measurements add up to 90°. That is, if we attach both angles... read more

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Introduction to Angles We begin our study of angles by learning what they are, how to name them, and ways in which angles can be classified. These concepts are explained below. Angle An angle is formed when two rays meet at a common endpoint, or vertex. The two sides of the angle are the rays, and the point that unites them is called the vertex. The vertices are shown... read more

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Lines and Angles Comprehension of lines and angles is critical in the study of geometry. Whether we know it or not, we see all sorts of angles on an everyday basis. The corners of a room, the way a ladder rests against a house, and the inclination of a hill all have angles that can be measured. In order to continue our study of geometry, it will be necessary to learn about the different... read more

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Angle Properties, Postulates, and Theorems In order to study geometry in a logical way, it will be important to understand key mathematical properties and to know how to apply useful postulates and theorems. A postulate is a proposition that has not been proven true, but is considered to be true on the basis for mathematical reasoning. Theorems, on the other hand, are statements... read more