Download Extra Practice for Test 5

Name _ _ __ _ _ _ __ _ __
Period - -- -
Geome try
Test #5 Extra Practice
lo'----_,. N
I<
Al'-l?; A 'I
.!11?011' is isosceles 1ri1h
n''""'·'· 0
.6 1-IKW _ __ _
Bv _ _ _ __
.6 MAH _
by - - - -
.6 CAY _ _ __
by _ _ _ __
.6GHO := _ __
by _ _ _ __
2. What are the 5 ways to prove triangles are congruent?
J. 3. }Mhat does C PCTC stand
for?
'-1. CPCTC mu st come AFTER what type of stateme nt and reason ?
5. Sw te th e reflexive stateme nt for the diagrams be lo w.
\
.
ffi
r)
.s
T
x= _ _ __
y= _ _ __
r
)
E
STATEMENTS
REASONS
(These statements do not constitu te a proof at all . I just want you to wr it e the reasons for each statement.)
~'
A
C
a)
L: 2 := L:4
b)
L: 3 and L:4 are sup p. b)
c)
L:3 := L:S
c)
d)
a II b
d)
e)
.6ABC is isosce le s
e)
8. Given: .6WIH is isosc with base IH
L:l :=L:2
Prove: .6 W IT
~
.6 WHC
Beyond: .6 WTC is isosceles
r.
a)
STATEMENTS
REASONS
(.~
9)
a) Write the equation for AB . Start in point-slope form, then
change to slope-intercept form.
/'
v
/ lO
v
[<"'
v
I~
-
c~
I..~
L--""1
b) Draw AC ..LAB, then write the equation of AC.
10) The area of the circle is 144Jr.
The perimeter of the triangle is 50.
11) Do the sides make a triangle? If yes, what type?
a)
6,3.J5,9
b)
2-Ji,7,15
Diameter of the circle _ _ __
Height of the triangle _ _ __
Area of the triangle _ _ __
12) The area of the triangle is 56 .
Find x, the length of the base, and the height.
X= _ __
Y= _ __
~
4¥.+~
---~
14)
a= _ __
.b = _ __
c = _ _ _ d = _ __
e.:--
Geometry
Test #5 Extra Practice
Name _ _.:
111rs
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Peri od -~~-
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I. Are th e tri angles congruent')
~.4
H
~.
j.f?Q II" is isosceles 11·ith ,.e,Nx 0
6H KW :.= ~
By
HL..
$£1" S
I
6 MA H'£
6 CAY :.= 4f::>AN
by
by
A's~
What are the 5 ways to prove tri angles are congru ent 'l
s~~
1
sA-~ l
17 ~ ~ A-As) [-{ L
.I
I
3. What do es CPCTC stand for')
l
c_ovv-. p~ ~ (4~ d~
)-
Q.A9.
~,d
4. CPC TC mu st co me AFTER wha t type of statem ent and reason 'l
4_;- 4
( -sss I ~+L)
_
6. Find x and y .
5. State the refl ex ive statement fo r the diagrams below.
\J
s
ST
E
=T.S.
x=
ro·
y=
132(
0
:...!~
-0
REASONS
STA T EMENTS
(T hese statement s do not constitute a proof at al l. I just wa nt yo u to write th e reasons for eac h stat ement. )
4"
a)
L 2 :.= L 4
b)
L3 and L4 are supp .
c)
L3 :.= L5
d)
a II b
e)
6ABC is isosce les
8. Give n: 6 WIH is isosc wi th base IH
L l :.= L2
Prove: 6 WIT
:;o
REASONS
STATEMENTS
1t..v.:> 1 H t:o ; ~esc ~1
bo-4-t TH
6 W HC
, . x+-
Beyond: 6 WTC is isoscel es
o... c.. ~~
;). ~ bc.v.K
w
3 . 6. LJ IT~ 6 WHC... 3.
~ ~~ -z.r
h;_
~CAI'-9L --~ j
'
i
I
,
'
\..
Lf .
WI :;;--
'). b
WG
L-0 TL i ~ i ~
sosc., 'J:.- ~
;
LS
~
;)..
~ Si..~
A~A
l{c_pc_TL
s· -:IF
o...
lJ
~
LA i ~O'S,C
.
:;;.
=s~~~ ct
'
9)
"' '\..
<.4
a) Write the equation for AB. Start in point-slope form, then . (
;'\
changetoslope -interceptform . "'o:>lqx_:::.
3,'1 J
/
v
~ - " = 3;-v c~ 3)
~ -li :: o/'1 )(. - '!I«.J
..
1'\. ./
. '
v
-
I'\
1'-
v
,,
1\.
~
r4
+Y
t- 1<61'(
t?
C:j:::: 3Yttx + Yc.J
I~
c-+
b) Draw AC
';)..=-
eM
av~f'A
'-_/
I
o
(.~
AB, then write the equation of AC.
(
1lY
c..h4. c..IL ~
L_..,
1_
Sl~::. - ~
10) The area ofthe circle is 144Jr.
The perimeter of the triangle is 50.
;
~
po ·,v\..t
'j ~- ~ ){ r &
11) Do the sides make a triangle? If yes, what type?
a)
I 'I 'I tt
6,315,9
fi:CS'
OJ.. ......-t'}
r:!l')
:;1
?
(4 , +- {Cj~ •
3£1 + 4S""
p
16.~
("\.~t 6
50
;lt.t+;tlt.::.Sb
~
;1.(,
"- =
•
;llJ
Height of the triangle
5
Area of the triangle
eo.
&0
~
t
2}7, 7,15
b)
Y'i~l~
'I. -:. I~
Diameter of the circle
1
•
~
ffi)S~ t'.
A=~ k,~
':. 'S· ~· )
=- 0 0
12) The area of the triangle is 56.
Find x, the length of the base, and the height.
13)
.,2\
a = / ';).. g .
f"/"~4 ... ~~
flo
~<;
X=
7~
Y= 4~
. b = 5...1 '
fll o.
.