Measure and Classify Angles

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Presentation transcript:

Measure and Classify Angles 1.4 Geometry

An angle is created by two rays that have a common endpoint Angles An angle is created by two rays that have a common endpoint Each ray is called the side of the angle. The common endpoint is called the vertex of the angle. The amount of rotation about the vertex is called the measure of the angle. Common units of measurement of angles are degrees and radians. A B C

Parts of an angle A B C Interior of angle Exterior of angle Angles are written with either the vertex point [if no other angles share this vertex] or a point on one of the rays, the vertex, and the point on the other ray.

Types of angles Acute Obtuse Right Straight 0o < acute < 90o 90o < obtuse < 180o right = 90o Straight = 180o

Adjacent angles O A C D DOC is adjacent to COA DOA is NOT adjacent to COA

Protractor Postulate Each rotation of a ray about a vertex has a unique value between 0 and 180 degrees

Angle Addition Postulate C D If C is in the interior of AOD, then mAOC + mCOD = mAOD

Angle measures