Linear Measure

1. SECTION 1-2
Linear Measure
Thursday, September 4, 14

2. ESSENTIAL QUESTIONS
How do you measure segments?
How do you calculate with measures?
Thursday, September 4, 14

3. VOCABULARY
1. Line Segment:
2. Betweenness of Points:
3. Between:
Thursday, September 4, 14

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. 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. 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. 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. 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. VOCABULARY
4. Congruent Segments:
5. Construction:
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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:
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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)
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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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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
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25. EXAMPLE 4
Find RO. Assume that the figure is not drawn to scale.
17.6 in
4.3 in
R O K
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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
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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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. PROBLEM SET
Thursday, September 4, 14

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