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Day Measuring Segments and Angles

Day Measuring Segments and Angles. Monday 2/4. Warm-Up 2/4/2013. Name the Intersection of Plane AED and HEG. Name the fourth point in the plane BCH. Use always , sometimes , or never to made a true statement: Three points are ? Coplanar.

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Day Measuring Segments and Angles

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  1. Day Measuring Segments and Angles Monday 2/4

  2. Warm-Up 2/4/2013 • Name the Intersection of Plane AED and HEG. • Name the fourth point in the plane BCH. • Use always, sometimes, or never to made a true statement: • Three points are ? Coplanar. • Two lines ? Meet in more than one point.

  3. Homework Check

  4. Measuring Segments and Angles Find KN EX: 713 KN = distance between K and N or the length of KN = the name of the segment between K and N Find a length or distance on a number line =

  5. Congruent Segments: segments that are the same length.

  6. Segment Addition Postulate: If A, B, and C are collinear and B is between A and C Then AB + BC = AC

  7. Midpoint of a segment On a # line: The midpoint splits the segment in exactly half!

  8. Segment Bisector: A figure that passes through the midpoint of a segment.

  9. Examples: • W is between V and X, VW = 3x+5, WX=2x+10 and VX = 50. Find VW.

  10. 2. K is the midpoint of . JK = 2x+1 and KL=3x-4. Find JL.

  11. 1-4 Measuring Angles Angle: is formed by two rays with the same endpoint. The rays are the SIDES of the angle. The endpoint is the VERTEX of the angle. EX NAMES: <ABC <CBA <1

  12. Protractor Postulate m<COD =

  13. Acute Angle Measures greater than and less than

  14. Right Angle Measures exactly

  15. Obtuse Angle Measures greater than and less than

  16. Straight Angle Measures exactly

  17. Adjacent Angles Angles that are beside each other and share a common ray as one of their sides. ______ and _______ are adjacent angles.

  18. Linear Pair Are adjacent angles whose non-common sides are opposite rays. Opposite Rays: A Linear Pair is:

  19. **If two angles are a linear pair, then their sum is m<ABD + m<DBC = 180

  20. Congruent Angles Are angles that have the same measure.

  21. Angle Addition Postulate

  22. Angle Bisector Is a ray that divides an angle into two angles. ____ bisects _______, therefore_____________

  23. Examples: 1. 2. 3.

  24. HW: Complete the worksheet • 1-4

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