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Understanding Collinear Points and Precision in Measurement

This review focuses on key concepts in advanced geometry, including collinear points, the relationships between points and planes, and the precision of measurements. It explores questions about planes that contain specific points, the identification of additional points in designated planes, and various planes that can be defined in a spatial context. The review also emphasizes the importance of precision in measurements, describing how to ensure measurements are precise to specific units, and introduces the concept of betweenness and congruence in geometric figures.

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Understanding Collinear Points and Precision in Measurement

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  1. Daily Review 1.) Name 3 collinear points 2.) Name two planes that contain points E and F 3.) Name another point in plane AGF 4.) Name 3 different planes

  2. Linear Measure and Precision Eric Hoffman Advanced Geometry PLHS Aug. 2007

  3. Key Topics • Line Segment – unlike a line, a line segment can be measured because it has two endpoints • Precision – depends on the smallest unit available on the measuring tool. Measurement should be precise within 0.5 unit of measure • Ex – if a line is measured with a ruler with ½ inch increments measurement should be within ¼ in. 5 millimeters 5.4 centimeters 5 ½ inches 8 yards Precise within 4.5 and 5.5 millimeters Precise within 4.9 and 5.9 millimeters Precise within 5 ¼ and 5 ¾ inches Precise within 7.5 and 8.5 yards

  4. Key Topics • Betweenness – point M is between point P and point Q if and only if P,Q,M are collinear and PM+MQ = PQ P M Q

  5. Key Topics • Congruent – when two objects have the exact same measure • Ex. AB CD NOTE!!! - angles and segments are congruent, distances and measures are equal C B D A

  6. Key Topics • Construction – method of creating geometric figures without measuring tool • Copy this line segment C A D B Construct a segment whose measure is 3(AB) Construct a segment whose measure is 4(AB) – 2(CD)

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