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1.2 Measurement of Segments and Angles

1.2 Measurement of Segments and Angles. Measuring Segments. Match item being measured with proper unit. U.S.: Inches, feet, yards, miles etc. Metric: km, cm, m, mm. Distance: absolute value. A. B. m AB. cm. 1. 2. 3. 4. |2-3| or |3-2| = |-1| = |1| = 1 = 1.

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1.2 Measurement of Segments and Angles

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  1. 1.2 Measurement of Segments and Angles

  2. Measuring Segments Match item being measured with proper unit. U.S.: Inches, feet, yards, miles etc. Metric: km, cm, m, mm

  3. Distance: absolute value A B m AB cm 1 2 3 4 |2-3| or |3-2| = |-1| = |1| = 1 = 1 The length of AB = 1 cm

  4. Measuring angles: Tool: protractor Unit of measure: Degrees Radians Grads

  5. Angle measurement Angle measurement is the opening from one ray to the next ray. We usually use the inside measurement, 180° or less. A full turn is a circle and measures 360°.

  6. Angle measurement m<PAR = 90 P  m<A = 90 A R 1 m<1 = 135

  7. Classify angles by size Acute: 0<x<90 Right: 90 Obtuse: 90<x<180 Straight: 180

  8. Parts of a degree: 1 Degree = 60’ (minutes) 1 Minute = 60” (seconds) So, 87  = 8730’ 90 = 8959’60”

  9. Find m<CBD m<ABD = 90 C A m<ABC = 7421’10” B D 90 - 7421’ 10” 8959’ 60” - 7421’ 10” 1538’50”

  10. Congruent angles and segments Symbol: = = < have the same measure have the same length = A 60 B 60 <A = <B

  11. Congruency Tick marks show congruency X A B Z Y C Name congruent angles and segments.

  12. Example A B m<ABC = 90 m<1 = (3x+4) m<2 = (x+6) 1 2 Find both angles! C 3x + 4 + x + 6 = 90 4x + 10 = 90 4x = 80 x = 20 m<1 = 64° m<2 = 26°

  13. Find the measure of the angle formed by the hands of a clock at 5:15. • The hour hand is on 5 only when the minute hand is on 12. • How far will the hour hand be away from 5 when it is 5:15? • It will be ¼ of the way between the 5 and the 6. • How many degrees is that? • There are 360º in the clock. Every 5 minutes has how many degrees? • ¼ of 30 is • How many “5 minute” intervals do you need to add to that? • The angle measure of 5:15 is 67.5º. 30º 7.5º 2 intervals for a total of 60º.

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