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1-4: Measuring Angles

1-4: Measuring Angles. Parts of an Angle. Formed by the union of two rays with the same endpoint . Called sides of the angle Called the vertex of the angle 3 ways to name BAC or C AB A (Vertex) 1. B. Exterior. Interior. 1. A. C. Example 1:. 1). Name the angle below.

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1-4: Measuring Angles

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  1. 1-4: Measuring Angles

  2. Parts of an Angle • Formed by the union of two rays with the same endpoint. • Called sides of the angle • Called the vertex of the angle • 3 ways to name • BAC or CAB • A (Vertex) • 1 B Exterior Interior 1 A C

  3. Example 1: 1). Name the angle below. Name the sides and the vertex of the angle. Y 2). Label the 3 points on the figure below so that the angle has sides KQ and KN. 1 X Z Q K N

  4. Protractor Postulate • Consider and a point on one side of . Every ray of the form can be paired one to one with a real number 0 to 180. A O B

  5. Types of Angles Acute Obtuse Right Straight • Congruent Angles • Angles with the same measure • If , then • Or, if , then

  6. 45° 135° a d D A Example 2: What is ?

  7. Postulate 1-8: Angle Addition Postulate • If point B is in the interior of , then: Example 3: If , what are and ?

  8. Homework: p. 31 #’s 6, 7, 12-14, 18-23, 29-31, 33-35

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