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Understanding Linear Measurement: Line Segments, Length, and Equations

This resource explores the concepts of linear measurement, focusing on line segments and how to determine their lengths using both metric and standard units. It discusses the difference between lines and line segments, provides examples of measuring lengths, and introduces the concept of collinearity with points on a line. The text includes methods for finding lengths through addition and subtraction, as well as solving equations to find unknowns. It emphasizes the importance of understanding congruent segments while clarifying the distinction between length and congruence.

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Understanding Linear Measurement: Line Segments, Length, and Equations

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Presentation Transcript

  1. 1-2 Linear Measure

  2. Measure Line Segments • A line cannot be measured because its endpoints go on forever • A line segment can be measured because it has endpoints A B A B

  3. Find Length in Metric Units Example 1 Find the length of using each ruler. a) b) is about 42 mm. is about 4.5 cm.

  4. Find Length in Standard Units Example 2

  5. Betweeness of Points M Point M is between points P and Q if and only if P, Q, and M are collinear and PM + MQ = PQ. PM PQ MQ P Q

  6. Find Measurements by Adding Y Example 3 • Find XZ, (assume that the figure is not drawn to scale.) XZ = XY + YZ = 5.3 + 2.6 = 7.9 XZ = 7.9 cm 5.3 cm 2.6 cm X Z

  7. Find Measurements by Subtracting Example 4 Find AB. AC = AB + BC 25.6 = AB + 11.1 - 11.1 - 11.1 14.5 = AB AB = 14.5 m B 11.1 m 25.6 m A C

  8. Write and Solve Equations to Find Measurements Example 5 • Find the value of a and XY if Y is between X and Z. XZ = XY + YZ Y 3a 14 5a - 4 X Z

  9. Write and Solve Equations to Find Measurements TWAP (Try with a Partner) Find the value of x and FG if F is between E and G. EG = EF + FG F 5x - 3 7x 45 E G F

  10. Vocab: • Congruent Segments: Segments that have the same measure. • Use the symbol • Example: • Can lines be congruent??? • Find some cong. Segments in the room. Watch out!!!! Equal vs. congruent SEGMETNS are congruent but LENGTHS are = NO!!!!!

  11. HW 1-2Page 18 (9-19 odd, 20, 21-31 odd, 37, 40)

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