G.SRT.2 Worksheet 3 - TeacherWeb

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r
G.SRT.2 Worksheet 3 Guide
When two figures are similar they have congruent angtes and proportional sides. This knowledge allows us to solve
for missing corresponding values.
1. Given
MBC - LEDC, determine the missing values.
5,rtnatl
'?- r
2^
C=
:_
,
Vrq
d
v-
2u- =
tb _ K
(f
U=tf
(7
2. The two triangles are similar, determine the missini! values.
grwrtl
7
"l
Bt*
!-L*'
L
q
lE, _n
t(
5-=
t{
t{=
q
.1'1{
3. Given
MBC - MDE,determine the missing
&
values.
e
Swll
L
-L
q
B,F
1-_
w
#
to
YlL, {
@
4. Given LBAC
-
LDEC, determine the missing values.
/b ?
zY3
.!-=-
-2*il
8,3_
9
{D
3-
Y
./-
-1
3
3b
.;
L
ts
+Lt
t-
G.SRT.2 Worksheet 3 Guide
5.
17
Given two similar triangles, determine the missing values.
6. Given MRT
- AADE determine
the missing vatues.
(r5
.1
n-=s-
-9,
lol
+.
lnatl tl _g
Ut)- f - Yt(o{o
('lfl{ l- 4o =
W
7. lf the three sides of a triangle are in ratio of 3:4:5 and the perimeter
thelongestside?
jvlvx.l-r)
= lr
f,q
= t{
x: ['L<
ILX
8.
Use the scale factor
Ly
9.
ty { (l'r)
?'-
M
Use the Pythagorean Theorem
3"
*,t-=X"
4+t'. = \,>
L{=x
2-
l{.x\
t _t
CBAD : FKLH is 3:2
L
@sffi
,(t,d)
L
l2-
1=n tg =*
L---
to help you on these. Solving for the missing vatues.
6'+ t'= c"'
36 16! =tlato > c
rf)- c
l "-
= 1"1{
t1,\ ,l (t.zr) = {
to deterrnine the missing vatues.
7w.
€='@N
#,^-
of the triangte is 15 cm. What is the length
2-
=
U'zr
of
NAME:
G.SRT.IWORKSHEET #3
1. Solve for the missing information, given that the two triangles in each question.are SIMILAR.
c)
b)
a)
8.9
x=
y=
x=-
y=
x=
y=
f)
d)
x=-
y=
Y=
h)
s)
AABC has sides of 5,6,7
AABC
-
ADEF
ADEF has sides 9, x, y
x=-
y=-
y=
x=
What
is
the length of
2. tf the three sides of a triangle are in ratio of 3:5:7 and the perimeter of the triangle is 12 cm.
the longest side?
G.SRT.2 UIORKSHEET #3
3. Use the scale factor to determine the missing'values.
a) CBAD : FKLH is 3:2
b)ALMN : AUK is 1:2
y=
x=
y=
4. Use the Pythagorqan Tlteorem to help you on these. Solving,for"the inissing
a)
n5
c)AQNP : AHRT is 2:1
va lues.
c)
'',,
Right MBC has sides of
AB=8,8C=15,&AC=x
F
where AC is the hypotenuse
N2
AABC *ADEF
Right ADEF has sides
DE=Z,EF=y,&DF=51
x=
y=
x=
: .'
Y=
x=
L-
y=
Nemt: (+-
G.SRT.2 WORKSHEET #3
question are SIMILAR'
1. Solve for the missing information, given that the two triangles in each
c)
a)
Y=\
8_^Li
t4"n'p-
€
Y
@
rffi
+ &=+ +**,t-h
*1x
*= 9-L
b
*=
=b
@
5
y= ?D
Y
=
7,lo
d)
5n. ? lL
y(zX-=8v = tvl
@
tr
fqyf,o> lzo
"ut*3
v-
v-
s)
AABC has sides of 5,6,7
AABC
v
B
tY b_
= Tl = rrP
lrYf
Xo
ADEF
ADEF has sides 9, x, y
9r"- t{
= lzo
ts x j>-<
ee
*= ?-- y=
0 zo
t
++=g
P
g_,-,tr
,w
IsP*
f
"" [email protected]
YA A.K
@
q
*= lo'{
2,b-
I b.t)
{z
b
What is the length of
- 2"vl Cnl
5(o.r) =
Ly t
97
1'L
9q=bg
=59--.
,4=P't)
b
*7r,+rx-h-1X tL
t Yx -- t'z-
T
Y
2. tf the three sides of a triangle are in ratio of 3:5:7 and the perimeter of the triangle is 12 cm.
the longest side?
-
,
=
!;\j
0.e) =q ,9
3. Use the scale factor to determine the missing values.
b)ALMN : AUK is 1:2
a) CBAD : FKLH is 3:2
c)AQNP : AHRT is 2:1
1r^=L
v2
\,VY
tn,
ttn---!L1P
K ,N.
?\2
/-
1rt^.
B
i
I
i=
-9xfl
,v
,A l-Z
D7
*
x
T
o
g
v14= ?
@
y=
., (-
y=
x=
4. Use the Pythagorean Theorem to help you on these. Solving for,the rnissing values.
b)
a)
.Rs
c)
Right AABC has sides of
AB=8,8C=15,&AC=x
F
where AC
t2
is
the hypotenuse
AABC
-
ADEF
Right ADEF has sides
DE=Z,EF=y,&DF=51
tt lV
(r
3*t{ = tP
s--,,
x=
v-
*= '5.
y=
(,
x=
L-
v=

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