Geometry
K £1
Mathematician
Date __
Period
House
E W F H
Chapter 9 Review
1. The
is the side opposite the right angle in a
~~@lN'L
right triangle.
2. In a right triangle) if
x and yare the lengths of the legs and z is the
length of the hypoten use) then
£¥ = l.
X
2._.
~fumb~k~~~~~~
leg has length
_Va. ~
xj!("_.
~A::')<~
#
'Z-
4. In a 30°-60°-90° triangle, if the hypotenuse has length y, then the
shorter leg has length _~2..
and the longer leg has
length
2.}(
h -:- ~L-.
Solve each problem below.
~
i-f3
z
In Problems 1-3, all measurements
~~
'd/z.
are in centimeters.
2. Is flABC a right triangle?
c
18
A
A
18
q 1 --\-1Z
x
I Q 2-
10
+
X 2..
'32.L\ -\ )(
2-
30
0. 1.
L- -;
=
6
12 '3
'l.
:1..1
-=- 5 I 10
:: ~ L-f
b~...L
0-. -\-
<'t-
(S~t'\o1-
0-
'2.-
C
r
2..
8
3 24
lu
r;.Z51= 31.
=: ctoo
= 900 -X 3;2~
~~
2-
X.
=
"2..
A
B
L
Xl-ty'2.+l:"
Y
J
UAJ
'i5
±~
"2..
I
+ '"
Be
dl-
'- __
2-
+ 1~
, 2-
~i-C?_ ~
4. What is the length of the hypotenuse of a right triangle with legs of
length 80 feet and 150 feet?
g'Ot--+ ISO 'Z-:::: c... "2.
1.
=-(A
\(01-(, ~
~
J
-= J.
28qOQ-=L1-~
,~;t::c ~
5. What is the length of the longer leg of a 30°-60°-90° triangle with a
~9~
hypotenuse ofelength 240m?
6-
3CoM
12.~~
~~
/2-
J7
2-
6. If the area of a square is 225 crn-, what is the length of the diagOnal~
~l-~"'d)( -=')
X
I
_I
rz ~
[r"id 15~:Ji1'? ~_5 2-::;
(5
,5
Co~3J3
7.
Find the area of an equilateral triangle with sides measuring 6 meters. ~
8.
..
LJ3
B
r-
r /
A~
T
2
I"-- -...
H
L..
y}"12.
= 2-c
2-
J.5 -;:: C
Find the distance between eae ••...
-.-.;---.,.,~r".
Use the information provided to write the equation of each circle.
(j..- h)~t (J -k) L ::: r 2-
Center:(-9 ~3)
Radias:4
2...
'1...
(X - -~) +C -J.') :=. LJ
(Xtq)). +-C'J-3)"- ~ /10
11.
1-
I
3 +'1
x
10.
A ::.2. (,
\-;"\
I ,
/'
L
'L(
I
~f3
y
9.
A
Use the grid lines as a guide to turn AB into the hypotenuse of a right
triangle. Then find the length of AB.
3
:::l.bh
3
Center:(2. 10)
Circumference:
21t~
2..
'2-
(x-i')
'L
+(J-lO)
ElY~-IO)
"1-~
On a baseball diam ond, the bases are at the vertices of a
square measuring 90 feet on a side. The pitcher's mound is
on the diagonal between home plate and 2nd base) 60 feet
.
from home plate. Give each answer to the nearest 0.01 foot.
a. How far is a throw from 3rd base to 1st base? Show all
your work) and draw and label the ..triangle you used to
find your answer. ':)~
90~2...
,U
'is''
/
~
~
90ft
p. ch •
rt us
mound
T
~
1st base
~
90 ft
60
~ n
:r:k ,S 96 \)2-""~~+! Home
~M
2.
2..1\'
1\
2nd base
3rd base
o
=r
::::=
lP. +0 3L
plate
90 ft