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1-6 Exploring Angles

1-6 Exploring Angles. OBJECTIVES: Use the Angle Addition Postulate to find the measures of angles Use congruent angles and the bisector of an angle. Ray. Extends indefinitely in one direction. EXAMPLES: The endpoint must be the first letter in the name. R. H. M. D. Ray MR (MR).

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1-6 Exploring Angles

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  1. 1-6 Exploring Angles OBJECTIVES: Use the Angle Addition Postulate to find the measures of angles Use congruent angles and the bisector of an angle

  2. Ray • Extends indefinitely in one direction. • EXAMPLES: • The endpoint must be the first letter in the name . R . . . H M D Ray MR (MR) Ray DH ( DH)

  3. Opposite Rays • Form a line • Referred to as a straight angle • CB and CM are opposite rays . . . B C M

  4. Angle • Formed by two rays with a common starting point. • The two rays are called the sides • The common endpoint is the vertex • EXAMPLE: <ABC <B <1 . A . . B 1 C

  5. Types of Angles • Acute Angles – measure less than 90º • Right Angles – measure 90º • Obtuse Angles – measure more than 90º

  6. Interior and Exterior of Angles An angle separates a plane into three distinct parts: • Interior • Exterior • Angle itself Interior Exterior

  7. Angle Bisector • A ray that divides an angle into two congruent angles

  8. Congruent Angles • Angles that have the same measure

  9. Angle Addition Postulate • If R is in the interior of PQS, then mPQR + mRQS = mPQS. P R Q S

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