lzt
,
- Measurin
ments
In Exercises l-6, use the figure below. Find the length ofeach segment.
A
B
CD
-4-3 -2 -1 0 I 2 3 4 5
t.
er
2
q.
AD
?
6
2.8c5
t.* 6
z.ec8
6.cD /
For Exercises 7-9, use the f,igure at the right.
7. lf PR = 25 and PQ = t2, tnen 9n = Vd.
8.
If PR =
19 and QR
=
12. thet PQ
=
9.
Vl.
If PR = l0 and PO = 4, the t an
=@.
Use the number line below for #lG-12. Tell whether lhe segmens are congruent.
GHIJK
t0 -E
nr
5
2
0
-4
tt. cn and tx
10.
GH- and
13.
Reasoning Points A, Q, and O are collinear. AO =
their positions on the line?
yCS
Poal O
a.
l0,AQ=
15,
x
afi OQ= 5. What must be true about
P bc/ttcctt p,o/s I 'J A
A
14. Given:
12. nt afi
/CS
f
/o
Use the figure at the
2
o
/u
a
right. (Show all algebraic work!)
S7=x+3 atdTU=4x-6.
What is the value of SI2
b.
What is the value of SUZ
r/3 = /r-6
3'ir-b
7'3r
3=tr
.'.
5T=
I
sr, 6
lU'6
sr?7u=5U
9r+ lu = lL
15. On a number line, suppose point E has a coordinate of 3, EC = 6, ald, EX = 12. Is point G the
midpoint of
(Show work.)
7 What are possible coordinates fo r G and
E
Xl
G?
-1
Nr.
pdh/
&rs.l ?tr.J. fo,ht,{* 4* -?.?/€.
On a number line, the coordinates
16. Draw a sketch
E
-2
ofP,
Q, R, and S are
-12, -5, 0, and 7, respectively.
of this number line. Use this sketch to answer #17-20.
17.
Which line segment is the shortest?
a?
I9. Which line segments are congrue
18.
Which line segment is the Iongest?
?9
20. What is the coordinate of the midpoint
ntl
6,
ta,
46i
of fR
7
-G
2l . You plan to drive north from city A to town B and then continue north to city C. The distance between
city A and town B is 39 mi, and the distance between town B and city C is 99 mi.
follow a straight driving path, afrer how many miles of driving will you reach the
midpoint between city A and city C?
a. Assuming you
t? r?,
A,,D
b.
Ifyou drive
??
an average
/l
C
!rslJ
. /r8
.
?ai
of46 mi/h, how long will it take you to drive from city A to city C?
,a,'.
/lr
/35,q,'
=
3 ,trs
22. Porrrt O lies between points M and P on a line- OM = 342 arrd OP =362
MP, what algebraic equation can you use to find MN?
.N/e74ry
tt4
NO
- 7.If
//,v=/
point N is the midpoint
of
(sr. + 9oz-z)
o*--+-
Use the diagram at the right for #23-24'
23.|f DC = 6x
Ap ,*
6y " ls +/S
zr '- /8
lr */t
7c '- ,Y
7r?
24.lf
-r"
,,*6-\,
AC'
andDA = 4x + 18, find the value of 't' Then find AD ' DC' arld
EB=4y-12arr ED=y+
17, find the value
ofy
Then find ED' DB' and
EB.
tg-/L
,$t
(p ,.a l/7
tt)r(X +n)
€D =lO
?r-tz'Zy+t/
21 z t/L
Tg
g'z9
'20
25. Is it possible that PQ + QR < PR? Explain'
//. . // ;L /qls /tlts hn'. ffi
tt ;l /ools lle ?/is: i
)
/\
flus, Pe.+PKz
7t<
no
)
J*."
PA?QE= PK'
l'Ln
moll. *&. s;/"/tbu'