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What Happened Yesterday?

What Happened Yesterday?. Let’s Review! Line Ray Line Segment Angle Vertex Point Triangles Intersection. 1.2 Measurement of Segments and Angles. Measuring segments :. Ruler or meter stick units of measure Match item being measured with proper unit.

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What Happened Yesterday?

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  1. What Happened Yesterday? • Let’s Review! • Line • Ray • Line Segment • Angle • Vertex • Point • Triangles • Intersection

  2. 1.2 Measurement of Segments and Angles Measuring segments: Ruler or meter stick units of measure 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

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

  6. Angle measurement m<PAR = 90 P  m<A = 90 A R m<1 = 135 1 Let’s think about the measure of the angle formed by the hands of a clock at 3:00 and 4:30

  7. Classify angles by size Acute: 0<90 Right: 90 Obtuse: 90<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” 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 Can you name congruent angles and segments?

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

  13. Recap! Acute Angle Congruent Angle Congruent Segments Degree Obtuse Angle Right Angle

  14. YOUR TURN Work with a partner Pg 14 #1,2, 5-8, 10, 12, 13-16, 18

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