Day Problems 9/12/12

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# Day Problems 9/12/12 - PowerPoint PPT Presentation

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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Presentation Transcript
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.
• 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.
Measuring Segment Lengths
• What is ST?
• What is SV?
• What is UV?
• What is TV?
Measuring Segment Lengths
• ST = | -4 – 8 | = | -12| = 12
• SV = |-4 – 14 | = | -18| = 18
• UV = | 10 – 14| = | -4| = 4
• TV = |8 – 14| = | -6 | = 6
• If three points A, B, and C are collinear and B is between A and C, then AB + BC = AC.
• 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

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

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.

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