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Day Problems 9/12/12

Day Problems 9/12/12. Name the intersection of plane AEH and plane GHE. What plane contains points B, F, and C? What plane contains points E, F, and D?. 1.3 Measuring Segments 9/12/12. Postulate 1.5 – Ruler Postulate Every point on a line can be paired with a real number.

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Day Problems 9/12/12

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  1. Day Problems 9/12/12 • Name the intersection of plane AEH and plane GHE. • What plane contains points B, F, and C? • What plane contains points E, F, and D?

  2. 1.3 Measuring Segments 9/12/12 • Postulate 1.5 – Ruler Postulate • Every point on a line can be paired with a real number. • The real number that corresponds to a point is called the coordinate of the point. • Allows you to measure lengths of segments and will allow you to find the distances between points. • The distance between points A and B is the absolute value of the difference of their coordinates.

  3. Measuring Segment Lengths • What is ST? • What is SV? • What is UV? • What is TV?

  4. Measuring Segment Lengths • ST = | -4 – 8 | = | -12| = 12 • SV = |-4 – 14 | = | -18| = 18 • UV = | 10 – 14| = | -4| = 4 • TV = |8 – 14| = | -6 | = 6

  5. Postulate 1.6 Segment Addition Postulate • If three points A, B, and C are collinear and B is between A and C, then AB + BC = AC.

  6. Using the Segment Addition Postulate • If EG = 59, what are EF and FG? EF + FG = EG (8x – 14) + (4x + 1) = 59 12x – 13 = 59 12x = 72 x = 6 EF = 8(6) – 14 = 34 FG = 4(6) + 1 = 25

  7. Congruent Segments

  8. Comparing Segment Lengths

  9. The midpoint of a segment is a point that divides the segment into two congruent segments. • A point, line, ray, or other segment that intersects a segment at its midpoint is said to bisect the segment. • The point, line, ray, or segment is called a segment bisector. A M B

  10. Using the Midpoint • Q is the midpoint of PR. What are PQ, QR, and PR? • Find x. 6x – 7 = 5x + 1 x – 7 = 1 x = 8 Find PQ and QR. PQ = 6x – 7 = 6 ( 8 ) – 7 = 41 Find PR. PR = PQ + QR = 41 + 41 = 82.

  11. More Practice!!!!! • Classwork – Textbook p. 24 #7 – 21 ODD. • Homework – Textbook p. 24 #8 – 22 EVEN.

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