Ch 5 Part 1 Review

Name:
Period:
_
Ch 5 Part I Review (5/1 - 5-5)
6wchs are, -fu 5u.-1e-!
1. Find the measures BC and AC.
B
A
2. Given that
X
3#1
c
YW bisects LXYZ
and WZ
= 5#
t
find
wx
x
y
Z f-L-----~W
3. ZO, YO, and XO are the perpendicular bisectors of MBC. Find AO.
A
o
B'-'='------.l......-----~C
z
1
ID: R
ID:R
4. In MBC,BY
= qc~md CO =~. 0 is a Centroid. Find BO.
C
z
B
A
5. Given MBC with AB
= 5 BC = 1,and CA =~, find the length of midsegment
XY.
C
A
6. Write the sides of MJK in order from shortest to longest.
I
K
7. Tell whether a triangle can have sides with lengths
8. Tell whether a triangle can have sides with lengths
9. ComparemLABCwithmLCBD.
Ln~\- ~
IR I g cf J-.
I:')' J /D cr F.
5&d~)
B
A
/I
10. AO and DO are the angle bisectors of LDAB. BD == AB. If the distance from 0 to AD
distance from 0 to BD?
D
= 8, find the
ID:R
11. Lines m, n, and p are the perpendicular bisectors of ADEF. Find EG.
m
"'---+---+----:::..
F
12. Find the circumcenter of MBC with vertices
r
"",+, '"
±
13. Vanessa wants to measure the width of a reservoir. She measures a triangle at one side of the
reservoir as shown in the diagram. What is the width of the reservoir (BC across the base)?
lt1'm B
X
A
Wdm the anglm In OIder
from smalles.t tolarg:est.
Q
'5D~',...... tv 30M
.
P
14.
. tt
. '. ()
4o~
ID:R
15. Danny and Dana start hiking from the same base camp and head in opposite directions. Danny walks
miles due west, then changes direction and walks for miles to point C. Dana hikes miles due
east, then changes direction and walks for miles to point S. Use the diagram to find which hiker is
farther from the base camp.
J
3
,2
3
c
s
16. MBC is an isosceles triangle. AB is the longest side with length 8x+ 1. BC = 6x+ 2 and CA = 5x+ 3.
FindAB.
8x+l
A..--------~B
c
17. Find mLK.
L
M
N
18. One of the acute angles in a right triangle has a measure of 55.2°. What is the measure of the other
acute angle?
2
ID:R
Be able to choose the definition for each word.
a.
b.
c.
d.
e.
locus
concurrent
point of concurrency
equidistant
focus
b.
c.
d.
equidistant
midsegment of a triangle
altitude of a triangle
f.
g.
centroid of a triangle
median of a triangle
a.
concurrent
c.
incenter of a triangle
e.
orthocenter of a triangle
g.
circumcenter of a triangle
3

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