Document 6600804

G.SRT.2 Worksheet 1 Guide
what
is a
proportion?
<(i^t,
| y^cr-{ios (Ar*+'*t\
e6po\
How do we determine if two ratios are
equat?
U6e-
AC
,=-
IJJ
Zir
Lf-tz
cyo75*p rod u c.{s
J(t.) 3 Y&)
7o {>a
How do we solve a proportion?
6&".a) =3*
b)r.-se = =r
2 sx = 0('s)
5X: ?b
*7a=-7Y
We can use proportions and ratios to solve lots of different problems. Here are a few examples.
1. The ratio of boys to girs in the class is
4:3. lf there are 20 boys in the class, how many girls are there?
2. The ratio of boys to girls in the class is
bogs
1:3. lf there are 28 students in the clas, how many girls are there?
gvtc
,r+ tx' -2ff
*x=L&
3. A triangte has angles in
, ,rtifloirl,s, *t
tx + zy +)x = ltro
tr-a
x:7 "
6 /' =-
at is the size of each angle?
/(t.) = F-"-1\
p{zo\ = leo I
TLer\
*,
r}{
h
+ t'^r"^i\'
lZ:J
4. What are the possible names for the quadrilateralwith sides 3:1:3:1?
3Y
lyJ---ltx
L-'
9)r
5. A recipe instructs the cook to use 4 cups of water for each 3 cups of powder. lf you used 10 cups of water, how
much powder should be added?
ttso*ttr
-t
q
y
".-' i
4Y =7o
X
X=1'S-
5. The soccer club has 3:2 of iuniors to freshman. lf the club
how many juniors are there?
3@
3x
has 45 students attend
#<shYw,.,*
Jor't'rsr,J
+
7y = Vr
5X=?r
that are fresh4gqenlu
J (?)
zu) = tt
Fr<Sh.*av-
X-1
7. The sides of a triangle are in the ratio of 3:8:7. lf the perimeter of the triangle
side?
3Y + 6x +'1P = e 7
ItrtL -* b3
Y=7'{
is 63 cm, how
l.s-) =
/l.r)
=
Lo"yuJ-
2t e*
j,l. f c,r^
rrt;
dtt-
NAME:
G.SRT.z WORKSHEET #7
1. Solve each proportion using cross products'
a)
3x
1
515
x=
e)
c)
b)
x+l
x
d)
20*x
6
x4
x+15
4
x+2
t2
2x+13
-=-x=
X=
f)
s)
x-L
9
4 =-x-7
x=
h)
x-9
2
x
5
x4
-=s16
x=
2. Sotve the following problems. (Show work)
t5 foot building casts a 9 foot shadow. How tall
building that casts a 30 ft shadow at the same time?
a) The ratio of seniors to
juniors in the Chess Club is 2:3'
there are 24 juniors, how many seniors are in the club?
b) A
c) A picture is 3 in. wide by 5 in. high was enlarged so that
the width was 15 inches. How high is the enlarged
d) Cameron
picture?
e) A triangle's three angles are in the ratio of
is
the measure of the smallest angle?
5:7:8' What
is
the
has been eating 2 dollar menu burgers every
week (7 days). At that rate, how many hamburgers will he
in 4 weeks?
f) A 5 foot high school boy casts a shadow of 24 inches. At
the same time of day a girl at the elementary school park
casts a shadow of 14 inches.' How tall is she (in feet)?
G.SRT.2WORKSHEEI #7
that has the following ratios for its slDES.
3. what would be the best (most specific) name for the shape
a)3:4:3
b)4:
c)3:3:5:5
d)
5
:4:
5
G'G,G,G
or-or
that has the following ratios for its ANGLES'
4. what would be the best (most specific) name for the shape
a)3:4:3
b)4:
cl2:2:7:7
dl
5
:4:
5
or-
4:4:4:4
5. Solve the following problems. (Show work)
a) The ratio of two supplementary angles is
measures of each
4:5. Find
the
angle.
the
on
AD?
e) points A, B, c, and D are placed in alphabetical order
a line so that AB = 2BC =CD. What is the ratio BD :
two
number?
g) Two numbers are in ratio 7 : 3. The sum of the
numbers is 36. what is the largest
2:3'
Find the
measures of each angle'
two pieces. The ratio of
two pieces is 5:7. How big are the two pieces?
c) A 3 foot stick is broken into
b) The ratio of two complementary angles is
d) ls the largest angle acute, right or obtuse in
that has angles measures in ratio, 2:3:4?
a
triangle
f) Points A, B, and C are placed in alphabetical order on a
line so that 3AB : AC. What is the ratio of AB : BC?
h) Three numbers are in the ratio of 2 : 5 : 3. lf the largest
number is 65. what is the smallest number?
NAME, U
G.SRT.2 WORKSHEET #7
1. Solve each proportion using cross products'
b)
a)
3x
s
t6
-=x x+15
15
gy= ttf
Y-1
x+l _
c)
d)
20-x
6
4
x+2
12
x4
2x+13
by = tb-qY
/o )< =to
-x=
x=
f)
h)
x-t
39x-92x4
-:-
-:4x-7x5516
6x
-=-
l(-+K = bx'b
lY'-q;=zv
1x = 4f
4L
-rx+t" =o
'(x-t\Lx-+\
--o
ffii--1
*=
lx=1lz- I
v-'-tf
L__
2. Solve the following problems. (Show work)
a) The ratio of seniors to juniors in the Chess Club is 2:3'
there are 24 juniors, how many seniors are in the club?
t5 foot building casts a 9 foot shadow. How tall
building that casts a 30 ft shadow at the same time?
b) A
is
the
P L-.13 -2v
3X =
tl(
K= tb
6 Sux,w
c)A picture is 3 in. wide by 5 in. high was enlarged
the width was 15 inches' How high is the enlarged
so
picture?
has been eating 2 dollar menu burgers every
week (7 days). At that rate, how many hamburgers will he
d) Cameron
in 4 weeks?
3t{
t-
-:--r-
x
Jtr='If
x'- L{
e) A triangle's three angles are in the ratio of
is
5:7:8' What
the measure of the smallest angle?
tx + lx + tx =- lro
e@X
=
L{o
{=1
{ (q)
f) A 6 foot high school boy casts a shadow of 24 inches' At
the same time of day a girl at the elementary school park
casts a shadow of 14 inches. How tall is she (in feet)?
2
G.SRT.z WORKSHEET #7
ratios for its SlDEs.
3. What would be the best (most specific) name for the shape that has the following
1qo56.e,le2
a)3:4:3
anr-i\
b) 4 : 5 : 4 :
d)
c)3:3:5:5
5
Pa".r,t\r,\03,*r^o1 P'sa$"'^fL'-
.6'.6,G'.6
or
ratios for its ANGLES.
4. What would be the best (most specific) name for the shape that has the following
b)4:
a)3:4:3
cl2:2 :7
:7
l4gcele-t Tra-Pzznif,
5
:4:
dl 4 : 4 : 4 :
5
oY StUo^",*4 F,l+r.."[!e-
5. Solve the following problems. (Show work)
a) The ratio of two supplementary angles is
4:5' Find the
4b\
= lto
QK' [ trc)
=*<>
4D:J2
Y=&
ffoo
I 1oo"
two pieces. The ratio of the
two pieces is 5:7. How big are the two pieces?
c) A 3 foot stick is broken into
tX.+17c=7b
[>6: I L
Y*-3
2:3. Find the
measures of each angle.
measures of each angle.
VY+ 9Y
b) The ratio of two complementary angles is
d) ls the largest angle acute, right or obtuse in a triangle
that has angles measures in ratio, 2:3:4?
,(
-rf
z 0)=L
I
(9-in",717n
e) Points A, B, C, and D are placed in alphabetical order on
a line so that AB = ZBC = CD. What is the ratio BD : AD?
A
a."#
ggpe
BC D
f) Points A, B, and C are placed in alphabetical order on
line so that 3AB : AC. What is the ratio of AB : BC?
a
3
€
,9
g) Two numbers are in ratio 7 : 3. The sum of the two
numbers is 36. What is the largest number?
av +3 x, = 5 t
loY=3b
1>3, b
t b"u)
h) Three numbers are in the ratio of 2 : 5 : 3. lf the largest
number is 65. What is the smallest number?