day problems 9/12/12
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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. - PowerPoint PPT PresentationTRANSCRIPT
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Day Problems 9/12/12
1. Name the intersection of plane AEH and plane GHE.
2. What plane contains points B, F, and C?
3. What plane contains points E, F, and D?
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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.
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Measuring Segment Lengths
• What is ST?• What is SV?• What is UV?• What is TV?
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Measuring Segment Lengths
• ST = | -4 – 8 | = | -12| = 12• SV = |-4 – 14 | = | -18| = 18• UV = | 10 – 14| = | -4| = 4• TV = |8 – 14| = | -6 | = 6
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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.
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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 = 34FG = 4(6) + 1 = 25
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Congruent Segments
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Comparing Segment Lengths
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• 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
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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.
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More Practice!!!!!
• Classwork – Textbook p. 24 #7 – 21 ODD.• Homework – Textbook p. 24 #8 – 22 EVEN.