1-2 Linear Measure
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1-2 LINEAR MEASURE
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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
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FIND LENGTH IN METRIC UNITSExample 1
Find the length of using each ruler.
a)
b)
is about 42 mm.
is about 4.5 cm.
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Find Length in Standard UnitsExample 2
116
216
316
416
516
616
716
816
916
1016
1116
1216
1316
1416
1516
1616
016
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BETWEENESS OF POINTS
Point M is between points P and Q if and only if P, Q, and M are collinear and PM + MQ = PQ.
P QM
PM MQ
PQ
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FIND MEASUREMENTS BY ADDING
Example 3
a) Find XZ, (assume that the figure is not drawn to scale.)
XZ = XY + YZ
= 5.3 + 2.6
= 7.9
XZ = 7.9 cm
X ZY5.3 cm
2.6 cm
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Find Measurements by Subtracting
Example 4Find AB.
AC = AB + BC25.6 = AB + 11.1- 11.1 - 11.114.5 = ABAB = 14.5 m
A CB
25.6 m
11.1 m
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Write and Solve Equations to Find MeasurementsExample 5a) Find the value of a and XY if Y is between X and Z.XZ = XY + YZ
X ZY
5a - 4
14
3a
❑2
❑2
𝑎=9
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Write and Solve Equations to Find MeasurementsTWAP (Try with a Partner)Find the value of x and FG if F is between E and G.EG = EF + FG
E GF
45
7x5x - 3
❑12
❑12
F
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VOCAB:
Congruent Segments: Segments that have the same measure. Use the symbol Example: Can lines be congruent??? Find some cong. Segments in the room.
≅𝐴𝐵≅𝐶𝐷
𝑁𝑂 ! ! ! !
Watch out!!!!Equal vs. congruentSEGMETNS are congruent but LENGTHS are =5≅ 5𝑋𝑌=𝐶𝐷NO!!!
!!
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HW 1-2PAGE 18 (9-19 ODD, 20,
21-31 ODD, 37, 40)