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Understanding Angles: Measurement, Naming, and Classification

In this lesson on angles, we explore how to name angles using their vertex and points, such as "angle CAB" and "angle A". We'll identify different types of angles and recognize adjacent angles like PQS and SQR. The distinction between interior and exterior angles is highlighted, and we'll learn how to measure angles with a protractor. This guide also includes the Angle Addition Postulate and the criteria for congruency. Join us in classifying angles based on their measurement ranges for a comprehensive understanding of angle concepts.

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Understanding Angles: Measurement, Naming, and Classification

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Presentation Transcript

  1. 1.4 Angles and their Measures

  2. Angles You can use the vertex of an angle to name it… Or, you can use 3 points on the angle with the vertex in the middle… “angle CAB” “angle BAC” “angle A”

  3. Naming Angles How many angles do you see?

  4. Three angles!

  5. Adjacent Angles PQS and SQR are adjacent.

  6. Interior vs. Exterior

  7. Measuring Angles A protractor is used to find the measure of an angle. “The measure of angle BAC is 50 degrees.”

  8. Angle Addition Postulate + =

  9. A B “Two angles are congruent if and only if they have the same measure”

  10. Classifying Angles classification example measure range

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