G.SRT.1 Worksheet 5 Guide
What is a stretch?
r
h
@"
r{oz^'-propu''}tencc{
Whatisadilation?
/
propw$o.z*-{ +T,.^*96"^aS*'^
*
,
ttt'""9 ttv-,t't+tl"-,'
fAl+a*,'
l'
sh"'P'
4 5i/*)
- \
7i'")
shage- + 7i€{'!'*'+
(W
Determine whether the following are stretch or dilation transformations.
#ffi#*
3.i&
dilhor
stretch.@
Dilation
@rDitation
@rDilation
stretcho@
The coordinate rule for dilation with center at the origin (0.0).
with center of
the origin.
A dilation of 2
dialtion
4
A dilation of Yzwith center of dilation O,
,ft,r)
the origin. Do.1@,!)
'2
?
(.'L7F1 Z ))
( z((,) tq* 1,D
ctl(zz7-t 6))
C,
,t@)
rt (s,-z\ \
'Gal
v' (t (r),',(4)
O'
A dilation ot
-ll3 with center of
dilation O, the origin. Do.1(*,1)
e' (-i @,-,
n) ,' (l 6,!
e' (-t I -3)
!1
f:,-r)
0,'u\
l-!
G.SRT.1 Worksheet 5 Guide
Dilate the following. (O is the origin.)
.
.,.,
,
,[]i#;g
:,
*
,
b|,
fu,
{}; S},,*'
cl ou,{6.i4i *
{-e*, *gl3
:
;=-
iI?--
'_1
I
:::::::::irl:ili]:::llli':i::
'.
. ':.
z- _ (' I
{*ry'af*f
::
I0) f):,&**e-+) *tJ:*, -fr)
Coordinate Rule of Dilation when the center is NOT AT THE ORIGN (0.0)
A dilation of 2 with thg center of dilation at T(-3,4). Dr,r(x,y)
€
Conn+"".
(-3,'l)
(r*@ (run\,++ @c^'4)
(-, * ilr) t q+>P))
(l ,to*/ (t+'{)
(t'Y)
A dilation of % with the center'irf dilation at T(8,1).
r\5t: 8
t^u,n I - lL
Dr,;,(x,Y)
Ca**** (u")
(n'^) , | + *("tr')
(s +
-
(r+ \ (-o) t r++ @)
@ (r*z*,
(r,r)
I
+oz)
\
)
G.SRT.7 WORKSHEET #5
NAME:
L. Determine whether the following are stretch or dilation transformations.
b)
*@'6t'
a)
H(x,y)--- >(2x,5y)
Stretch
or
Dilation
rr\
E
Stretch
or
c)
Stretch or
Dilation
Dilation
f)
d)
W (x,
y)
L(x,y)-
--- > 1.,6x, ..fs-t )
-
>(.3x,.2y)
D
Stretch
or
Dilation
Stretch
Stretch
or
Dilation
2. Dilate the following. (O is the origin).
al Do.r(5,3) =
(_,
dl Dr.r(:,tr) =
)
L_,__)
bl Do.?e2,0) = C_,
"1
)
c) Do.1Q,-6) = L_,
)
Dr-i( 4,12) =L_,_J tl Do,r,(10,-6) = C_,
glD^,(5,-8)=C_,
) hlD^r(8,5)=(_,
)
o'r'''
o'r''
G.
G (2, L')
A (5, 3)
a) Determine the slope of d from G(x,, y,) to A(x,yr)
in o.-lo(3,-5)=C_,
GRAPH #1
3. The center of dilation is
.
v1=!z-lt
xz- \
GRAPH #2
b) Using the graph #2, how can this slope help you find A',
if the scale factor is 2?
c) Using the graph #3, How can this slope help you find A',
if the scale factor is %?
GRAPH #3
)
)
G.SRT.7 WORKSHEET
#5
2
4. Complete the following. (when calculating the slope do not simplify it in any way!! The stope
G.
a) Center of dilation is
Scale Factor
2
Determinetheslope
qA
G
(1,5)
from G(x1,/r) to
A
(5,8)
b) Center of dilation is
Scale Factor. 3
A(*r,yr)
Determinetheslope
v.-!z-lt
xz- xt
Determine
(
+
G.
G
(-2,5)
A (0,4)
otd,from G(4,/r) to A(xr,yr)
m-!z-!r
xz
A'.
-
xt
Determine A'.
(2X-)
(2X-)) = A' (-,-)
'
(-
+
(3X-)
c) Center of dilation is
2
(3X-))
,
-+
scale Factor
is actually a vector.)
=
A'
(-,_)
-+
G.
G
(-3,1)
A
(-4,-5)
d) Center of dilation is
G.
G
(-2,-5)
A (1,13)
I
scale Factor
3
Determinetheslope
otd.
from G(x,,y,) to
A(x2,!)
Determinetheslope
v.-!z-!t
v
from
G(xr,/,) to A(x2,!z)
v._!z-!t
tz--v rl
Determine
otd.
Xz-
A'.
Determine A'.
(-+ (2X-),
(2X-))
1r
(-+ (;X-),
(-,-)
=A'
e) center of dilation is
5
G.
G
(2,3)
A
(:X-))
53
-+
scale Factor
Xt
{14,71
=A'
(-,-)
-+
f) center of dilation is
scare Factor
G.
G
(8,G)
A (3,2)
1
2
Determinetheslope
otil
from G(x1,
y)
to
A(x,yr)
Determinetheslope
7ys-!z-!r
xz-xt
yn_!z-!r
Determine A'.
Determine A'.
otd,from G(r,,/r)
to
A(x,yr)
xz-xt
(-+ (sX-),
(sX-))
=A'
(-,-)
-+
11
(-+ (;X-),-*
z2
(:X-))
5. What is wrong with this students work?
Center of ditation is
G.
j
*=3-8:
2-1
Scale Factor =
5
(2 + (5Xj.)
1
G
,3
(2,3)
A (L,g)
+ (5X-5)) = A, (7
,-2zl
=A'
(-,-)
I
I'JJ.:,1:Jil:TII,n" ro'Iowing are stretch ".. r,,.#I1'
b)
a)
c)
s;,
Y,P
*#-
H(*,y)- -- >(2x,5y)
c
.A@,
E
or
,Za----f
Stretch or
Dilation
E=:-
er+9 or Dilation
Dilation
f)
W
(x,
y)
L(*,y)-
---, (.fS r, .fs y)
Stretch
or
@
Dilation
-
Stretch
Dilation
>(.3x,.2y)
or
Dilation
2. Dilate the followine. (O is the origin).
a1 Do.r(5,3)
=
L6 1)
dl Dr,r(:,1) =
sl Do.;'
,(s,-8)
b) Do.7e2:0) =
,
(-,
)
n1
(--,-J
(]3-
el Do,_1Ga,tz) =
=Gf-,a
h)
,:3)
Do';r(8,5) =&-,1h)
A (5, 3)
G (2, 1)
G.
the slope of d, from G(xr,/,) to A(*r,yr)
- !z- lr
xt
xz-
l->
2-r
Do1(9,-O =
d- ,:Z)
J
-r
-3
fl Do,,,(10,-6) = (--,
o(3,-s)=L-,
i) D^
o'-1
GRAPH #1
3. The center of dilation is
a) Determine
cl
.
A(l ,>.
r\54: z
B
,gr)
B(1 t)
*'.7
GI r)
GRAPH #2
b) Using the graph #2, how can this slope help you find A',
if the scale factor is 2?
A( ,>'
B(
r)
B(
D
G(
GRAPH #3
c) Using the graph #3, How can this slope help you find A',
if the scale factor is%?
t
G(
(rr | (r, r + t(o)
(t*
tt,
,
I
+{)
--)
a
t--
l)
(s{,b)
A(l l>'
)
)
G.SRT,7 WORKSHEET
#5
2
4. Complete the following. (When calculating the slope do not simplify it in any way!l The slope is actually a vector.)
a) center of dilation is
Scale Factor 2
Determine the stope ot
G.
(1,5) A (5,8)
G
b) Center of
dil4ion
G. 'ffiil,
\tz--/
A (0,4)
d,from G(x,,/r) to A(x'yr) ,".:t11in:Tt:.f," ot d,from G(x1'lr) to A(x'yr)
y"-v.
. m=!z-lr
@
t
m=:------:-!
xz-xt
4-r
----;-O+
Xz-Xt
Determine A'.
Determine A'.
(-+(2X-) ,-+(2X-))=A'(-,-)
1*z +(3)( z 1,
-7 +b
c) Center of dilation is G.
Scale Factor 2
G
(-3,L)
A (-4,-5)
d) Center of
scate
Determinetheslope of GA from
7x
is
G(x,,/r) to A(x2,!z)
lr
- !zxz-xt
L
5 +(s)( -(
5-r
ih
- l:
L-A)
+
racto/1 /
V
Determine the slope of GA from
G(x,,y,) to A(x,yr)
t:-(-Y) _
t-c>\ - -g3
(2X-)) = A' (-,-)
t'L +tl rt e
-+
r,
5.
*t
-2 +l
rl rr-rr ;
to
A(xr,yr)
y-!z-lr
xz-
DeterminetheslJpe of
d
from
A(3,2)
G(x,y,) to A(x,yr)
fd#:r!P'
7-L -q
fr. +
y1-!z-lt
xz-xt
xt
Ii
C"-,^U-
@
y)
'1-l ,
=
+L
e) Center of dilation is G.
Scale Factor 5
Determinetheslope of GA from G(x,,
e = 1g
3
y'.t* =
Determine A'.
(2X-) ,
r;sel-{
Determine A'.
Determine A'.
(-+(sX-) ,-+(sx-))
=A'(-,-)
Center of dilation is
G.
8
Scale Factor = 5
3-8 -5
m==2-1=
1
(2 + (5X1)
5..1
r&*tlrt -t r , 6 *t)x*(
5. What is wrong with this students work?
G
,3
z
vL '
A (1,L3)
V^)J
(-
U^
-t
_
11
dilg\n is G.
nx-!z-!t
xz-xt
Determine A'.
biez=
I
-2.{
(2,3)
6 _L
A (1,8)
+ (5X-5)) = A'
(l ,-Z2l
n
.,t -f
'itr.r,(
)