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Exploring Angles and Distances: A Show & Tell Session

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11 diapositives · 205 Views · Jul 16, 2014

Learn about angle measurement, protractors, triangle constructions, and distance calculations in this engaging presentation.

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Transcription de la présentation
  1. Is there evidence of triangles, transversals, or linear relationships?

  2. 1. Please fill out the Show & Tell form (5-7 minutes). 2. Turn in Show & Tell, POW #3 (BTP1), and vocabulary worksheet if you still have it.

  3. Have you used any of these tools?

  4. The measureof an angle is usually given in degrees. Since there are 360° in a circle, one degreeis of a circle. When you use a protractor to measure angles, you are applying the following postulate.

  5. You can use a protractor tofind the measure of an angle. ∠GEF is obtuse. ∠DEG is acute.

  6. If OC corresponds with c and OD corresponds with d, mDOC = |d– c| or |c– d|. You can use the Protractor Postulate to help you classify angles by their measure. The measure of an angle is the absolute value of the difference of the real numbers that the rays correspond with on a protractor.

  7. Use a protractor to draw an angle with a measure of 165°.Use a protractor to draw an angle with a measure of 47°.Use a protractor to draw an angle with a measure of 93°.Use a protractor to draw an angle with a measure of 112°.

  8. The distance between any two points is the length of the segment that connects them. The distance between E and J is EJ, the length of EJ . To find the distance, subtract the numbers corresponding to the points and then take the absolute value. • EJ = |7 − 1| • = |6| • = 6 cm

  9. A B AB = |a – b| or |b - a| a b Thedistancebetween any two points is the absolute value of the difference of the coordinates. If the coordinates of points A and B are a and b, then the distance between A and B is |a – b| or |b – a|. The distance between A and B is also called thelengthof AB, or AB.

  10. Construct a segment congruent to MN. Construct and compare. Use a compass and straightedge to construct ST congruent to MN.

  11. Holiday Homework Chapter 1 Notes ~ Review of basic tools and constructions Test Prep: C15 (week 12) NBA #3 K-I-N: page 233 P & R: page 220 (23-32) all P & R: page 229 (29 – 35) all