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# Geometry Section 1-2 1112

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Linear Measure

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### Transcript of "Geometry Section 1-2 1112"

1. 1. SECTION 1-2 Linear Measure Thursday, September 4, 14
2. 2. ESSENTIAL QUESTIONS How do you measure segments? How do you calculate with measures? Thursday, September 4, 14
3. 3. VOCABULARY 1. Line Segment: 2. Betweenness of Points: 3. Between: Thursday, September 4, 14
4. 4. VOCABULARY 1. L i n e S e g m e n t : A portion of a line that is distinguished due to having endpoints 2. Betweenness of Points: 3. Between: Thursday, September 4, 14
5. 5. VOCABULARY 1. L i n e S e g m e n t : A portion of a line that is distinguished due to having endpoints AB is “segment AB”; 2. Betweenness of Points: 3. Between: Thursday, September 4, 14
6. 6. VOCABULARY 1. L i n e S e g m e n t : A portion of a line that is distinguished due to having endpoints AB is “segment AB”; AB is “the measure of AB” 2. Betweenness of Points: 3. Between: Thursday, September 4, 14
7. 7. VOCABULARY 1. L i n e S e g m e n t : A portion of a line that is distinguished due to having endpoints AB is “segment AB”; AB is “the measure of AB” 2. B e t w e e n n e s s o f P o i n t s : For any two points A and B, the point C will be between A and B when C is between A and B on the line 3. Between: Thursday, September 4, 14
8. 8. VOCABULARY 1. L i n e S e g m e n t : A portion of a line that is distinguished due to having endpoints AB is “segment AB”; AB is “the measure of AB” 2. B e t w e e n n e s s o f P o i n t s : For any two points A and B, the point C will be between A and B when C is between A and B on the line 3. B e t w e e n : Point K is between points J and L if and only if (IFF) J, K, and L are collinear and JK + KL = JL Thursday, September 4, 14
9. 9. VOCABULARY 4. Congruent Segments: 5. Construction: Thursday, September 4, 14
10. 10. VOCABULARY 4. C o n g r u e n t S e g m e n t s : Any segments that have the same measure 5. Construction: Thursday, September 4, 14
11. 11. VOCABULARY 4. C o n g r u e n t S e g m e n t s : Any segments that have the same measure 5. C o n s t r u c t i o n : The process of drawing geometric figures using only a compass and straight edge (ruler) Thursday, September 4, 14
12. 12. EXAMPLE 1 Use a ruler to measure the length of AC in both metric and customary. A C ruler via iruler.net Thursday, September 4, 14
13. 13. EXAMPLE 1 Use a ruler to measure the length of AC in both metric and customary. A C ruler via iruler.net Thursday, September 4, 14
14. 14. EXAMPLE 1 Use a ruler to measure the length of AC in both metric and customary. A C ruler via iruler.net Thursday, September 4, 14
15. 15. EXAMPLE 1 Use a ruler to measure the length of AC in both metric and customary. A C What are the values from the note sheet ruler via iruler.net Thursday, September 4, 14
16. 16. EXAMPLE 2 Use a ruler to draw the following line segments. a. YO, 2 inches long b. QI, 12 cm long ruler via iruler.net Thursday, September 4, 14
17. 17. EXAMPLE 2 Use a ruler to draw the following line segments. a. YO, 2 inches long b. QI, 12 cm long ruler via iruler.net Thursday, September 4, 14
18. 18. EXAMPLE 2 Use a ruler to draw the following line segments. a. YO, 2 inches long b. QI, 12 cm long ruler via iruler.net Thursday, September 4, 14
19. 19. EXAMPLE 2 Use a ruler to draw the following line segments. a. YO, 2 inches long b. QI, 12 cm long ruler via iruler.net Thursday, September 4, 14
20. 20. EXAMPLE 2 Use a ruler to draw the following line segments. a. YO, 2 inches long Y O b. QI, 12 cm long ruler via iruler.net Thursday, September 4, 14
21. 21. EXAMPLE 2 Use a ruler to draw the following line segments. a. YO, 2 inches long Y O b. QI, 12 cm long Measure a neighbor’s drawing ruler via iruler.net Thursday, September 4, 14
22. 22. EXAMPLE 3 Find HA. Assume that the figure is not drawn to scale. 7 cm 3 cm H Y A Thursday, September 4, 14
23. 23. EXAMPLE 3 Find HA. Assume that the figure is not drawn to scale. 7 cm 3 cm H Y A HA = 7 cm + 3 cm Thursday, September 4, 14
24. 24. EXAMPLE 3 Find HA. Assume that the figure is not drawn to scale. 7 cm 3 cm H Y A HA = 7 cm + 3 cm HA = 10 cm Thursday, September 4, 14
25. 25. EXAMPLE 4 Find RO. Assume that the figure is not drawn to scale. 17.6 in 4.3 in R O K Thursday, September 4, 14
26. 26. EXAMPLE 4 Find RO. Assume that the figure is not drawn to scale. 17.6 in 4.3 in R O K RO = RK − OK Thursday, September 4, 14
27. 27. EXAMPLE 4 Find RO. Assume that the figure is not drawn to scale. 17.6 in 4.3 in R O K RO = RK − OK RO = 17.6 in − 4.3 in Thursday, September 4, 14
28. 28. EXAMPLE 4 Find RO. Assume that the figure is not drawn to scale. 17.6 in 4.3 in R O K RO = RK − OK RO = 17.6 in − 4.3 in RO = 13.3 in Thursday, September 4, 14
29. 29. EXAMPLE 5 Find the value of x and HM if M is between H and R, HM = 7x + 2, MR = 3x, and HR = 32 units. H 7x + 2 M 3x R 32 Thursday, September 4, 14
30. 30. EXAMPLE 5 Find the value of x and HM if M is between H and R, HM = 7x + 2, MR = 3x, and HR = 32 units. H 7x + 2 M 3x R 32 7x + 2 + 3x = 32 Thursday, September 4, 14
31. 31. EXAMPLE 5 Find the value of x and HM if M is between H and R, HM = 7x + 2, MR = 3x, and HR = 32 units. H 7x + 2 M 3x R 32 7x + 2 + 3x = 32 10x + 2 = 32 Thursday, September 4, 14
32. 32. EXAMPLE 5 Find the value of x and HM if M is between H and R, HM = 7x + 2, MR = 3x, and HR = 32 units. H 7x + 2 M 3x R 32 7x + 2 + 3x = 32 10x + 2 = 32 10x = 30 Thursday, September 4, 14
33. 33. EXAMPLE 5 Find the value of x and HM if M is between H and R, HM = 7x + 2, MR = 3x, and HR = 32 units. H 7x + 2 M 3x R 32 7x + 2 + 3x = 32 10x + 2 = 32 10x = 30 x = 3 Thursday, September 4, 14
34. 34. EXAMPLE 5 Find the value of x and HM if M is between H and R, HM = 7x + 2, MR = 3x, and HR = 32 units. H 7x + 2 M 3x R 32 7x + 2 + 3x = 32 10x + 2 = 32 10x = 30 x = 3 HM = 7x + 2 Thursday, September 4, 14
35. 35. EXAMPLE 5 Find the value of x and HM if M is between H and R, HM = 7x + 2, MR = 3x, and HR = 32 units. H 7x + 2 M 3x R 32 7x + 2 + 3x = 32 10x + 2 = 32 10x = 30 x = 3 HM = 7x + 2 HM = 7(3) + 2 Thursday, September 4, 14
36. 36. EXAMPLE 5 Find the value of x and HM if M is between H and R, HM = 7x + 2, MR = 3x, and HR = 32 units. H 7x + 2 M 3x R 32 7x + 2 + 3x = 32 10x + 2 = 32 10x = 30 x = 3 HM = 7x + 2 HM = 7(3) + 2 HM = 21 + 2 Thursday, September 4, 14
37. 37. EXAMPLE 5 Find the value of x and HM if M is between H and R, HM = 7x + 2, MR = 3x, and HR = 32 units. H 7x + 2 M 3x R 32 7x + 2 + 3x = 32 10x + 2 = 32 10x = 30 x = 3 HM = 7x + 2 HM = 7(3) + 2 HM = 21 + 2 HM = 23 Thursday, September 4, 14
38. 38. PROBLEM SET Thursday, September 4, 14
39. 39. PROBLEM SET p. 18 #1-33 odd, 37, 38 “Keep steadily before you the face that all true success depends at last upon yourself.” - Theodore T. Hunger Thursday, September 4, 14
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