Download G Notes 1.3 Measuring Segments

1.3 Measuring Segments
Distance On A Number Line:
E1 Find RW
2  4  6
E2 Find XY
06 6
Midpoint On A Number Line:
2  4
E3 RW
1
2
E4 XY 6  0
3
2
distance  p2  p1
W
X
-4 -3 -2 -1 0
R
1 2 3 4 5
Y
6
p2  p1
midpoint 
2
W
X
-4 -3 -2 -1 0
R
1 2 3 4 5
Y
6
Segment Addition: If 3 point are collinear, and B is
between A and C, they AB + BC = AC.
AB
A
BC
B
C
AC
D
E
F
9
E5 If DE = 2 and EF = 7, then DF = ___________.
 33  8
E6 If DF = 41 and EF = 33, then DE = 41
___________.
37 14  23
E7 If DE = 14 and DF = 37, then EF = ___________.
E8 Find x and PM if M is between P and Q, PM=7x,
PQ=45, and MQ=5x-3.
7x
P
 7 x   5x  3  45
5x-3
M
Q
45
PM  7  4
PM  28
12x  3  45
12x  48
x4
E9 Find y and AB if B is between A and C, AB=5y-1,
BC=4y+2, and AC=28.
5 y 1   4 y  2  28
A
5 y 1
B
28
4y  2
C
AB  5  3 1
AB  14
9 y  1  28
9 y  27
y3
Congruent: When two
segments have
the same length
A
B
X
Y
AB  XY
In figures, little lines are used to show which segments are congruent to
each other. Segments that are marked the same are the same.
Segment Bisector: A point, line, ray, or segment
that intersects a segment at its
midpoint
P
R
Q
PR  RQ
S
A
B
C
E
D
12
E10 If AE = 30 and ED = 2x +6, then x = _________.
30  2x  6
24  2x
8
E11 If BE = 6x – 7 and EC = 5x + 1, then BC = _________.
6 x  7  5x  1
x 8
3
E12 If AE = 8x + 11 and AD = 20x + 10, then ED = _________.
8x 11  ED  20x 10
8x 11  8x 11  20x 10
16x  22  20x 10
12  4x
3 x
PWS 1-3 #’s 1-20, 22-32