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Geometry 1-3

Geometry 1-3. Measuring and Constructing Angles. Vocabulary. Angle - a figure formed by two rays, or sides, with a common endpoint. Vertex - The common endpoint of an angle (plural: vertices). Interior of an angle - all points between the sides of an angle.

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Geometry 1-3

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  1. Geometry 1-3 Measuring and Constructing Angles

  2. Vocabulary • Angle- a figure formed by two rays, or sides, with a common endpoint. • Vertex- The common endpoint of an angle (plural: vertices). • Interior of an angle- all points between the sides of an angle. • Exterior of an angle- all points outside of the sides of an angle. • Degree- the unit of measure for angles.

  3. Naming Angles • Angles can be named three ways: • By its vertex R • By a number 1 • By a point on each ray and the vertex SRT or TRS S 1 R T

  4. Name the Marked Angle W 2 A R L

  5. Types of Angles • Acute angle: 1° to 89 ° • Right angle: 90 ° • Obtuse angle: 91 ° to 179 ° • Straight angle: 180 °

  6. More Vocab. • Congruent angles- angles that have the same measure. • Angle bisector- A ray that divides an angle into two congruent angles Congruent angles: ARW LRW Angle bisector: RW W A R L 45° 45°

  7. Postulate • Angle Addition Postulate: If S is in the interior of PQR, then m PQS + m SQR = m PQR (part 1 + part 2 = the whole) R S Q P

  8. Example • What is the measure of angle WRL? W T A 65° R L 45°

  9. Example • If Y is in the interior of LMN, find the m LMY if m LMY = 5x+3, m YMN = 3x+3, and m LMN=86°.

  10. Using a Protractor wxv zxw YXZ

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