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Mind on Math

Mind on Math. Complete the “Work Together” in your note packet with your partner. Measuring Angles and Segments. Geometry Mr. Zampetti Unit 1, Day 6. Fifth Basic Postulate.

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Mind on Math

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  1. Mind on Math • Complete the “Work Together” in your note packet with your partner.

  2. Measuring Anglesand Segments Geometry Mr. Zampetti Unit 1, Day 6

  3. Fifth Basic Postulate 1-5: The points of a line can be put into a one-to-one correspondence with the real numbers so that the distance between any two points is the absolute value of the difference of the corresponding numbers.

  4. Example • Find QS (“the length of segment QS”) if the coordinate (“location”) of Q is –3 and the coordinate of S is 21.

  5. Definition Congruent: Two segments with the same length. () http://hotmath.com/hotmath_help/topics/congruent-segments/congruent-segments.gif

  6. Sixth Basic Postulate 1-6: If three points A, B, and C are collinear and B is between A and C, then AB + BC = AC. C B A

  7. Example • If DT = 60, find the value of x. Then find DS and ST. 2x - 8 3x - 12 D S T

  8. Definition Angle: formed by two rays with a common endpoint (“vertex”). A C B Name this angle 3 different ways.

  9. Parts of an Angle Sides Vertex

  10. Types of Angles • Acute • Less than 90° • Right • Exactly 90° • Obtuse • Greater than 90°, but less than 180°

  11. Types of Angles • Straight • Exactly 180° • Reflex • Greater than 180 but less than 360

  12. Angle Addition Postulate If point B is in the interior of AOC, then mAOB + mBOC = mAOC B A O C

  13. Example • mHAT = 50 and mHAM = 125. What is the mMAT? T M A H

  14. Homework Homework Packet: Measuring Angles and Segments

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