G.SRT.3 Worksheet 1 - TeacherWeb

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G.SRL3 Worksheet 7 Guide
What is the scale factor from AB to CD?
3',8 -? l,{ *+ k=9
What is the scale factor from
CD
to AB?
What is the EXACT scale factor from
(no numericalvalues used here)
641t);1-S
l$
to
Ig
*+ l: n -> *=B
What is the general pattern for describing a scale factor?
Wr:
Qrl-\wagz
l") e-"J
otf
AA Criteria for Similaritv
Given: Z-A =
Prove:
lD
MBC -
D;\,"t-
ZB ZE
=
LDEF
and
AW by ffi to b*'B'c'
f{
T^*J._1**-*;-
,-
yre-\r'^s- ,l\(fr)__
r
ii
i -ffi,
;
-^5.
^- A N ts' Ct b 6 s'rvila^'$ Tr'^s $-,uo(,w (;;to*^-)
/, /+ 9 z/*'
LB U Lt3'
I
Aftbc
A,B,=
)e (W) =-06
Lfr\ U ZD lro,''eihw-- P^n-{+
/-Bt E tv
dr' :
Dv
bfr'E'
c' z
-f),,r*-12,
<-
Tv'on-9'-#Ir'<-
Pn'uP4
A aer by
A AT L 'w
ASA
(n4/f
by a- w\qp/r"E- ilF
g'vr'r\\"'-
Tto)$'"""b4
l
G.SRT.3 Worksheet 7 Guide
to map L,BCD onto A,MNp.
DB,(MCD) first and translate by vector Cff,, then reflect. )
By construction, use similarity transformations
(Hint:
(There are many ways to do this construction)
NAME:
G.SRT.3 WORKSHEET #1
1. Prove that if two triangles have two congruent corresponding angles,,then they must be similar.
Given:
lA=./.P
and
lC=lN
Prove: AABC'- APMN
Bf
\,
2. Prove that if two corresponding proportional sides and the included correspo nding congruelt angle (SAS)is enough
.l
for establishing similarity.
Given:
lA'=lP
and
PM
;=;
PN
B
Prove: MBC
- APMN
,,:(
3. prove that if two triangles to be similar we need to find a seguence of similarity transformations that rnap AABC on to
ADEF.
Given:
PM
BC
AB=PN
AC-MN
Prove: AABC
- aPMN
G.SRT.3 WORKSHEET #7
4. By construction, use similarity constructions to map AABC onto ANMP.
(Hint: Dr.,
(fdAC)
first and then reflect.) (There are many ways to do this construction)
5. By construction, use similarity construction to map MBC onto ANPM.
(Hint: D- , (Unc):first and then,ro.tate.) (There are qlqny ways to do this construction)
,,i
2
WORKSHEET#7
#7
G.SRI.3
NAME:
NAME:
}fu,
K,
1.Provethatiftwotriangleshavetwocongruentcorrespondin,.n
Given:
lA= ZP and ZC=
ZN
Prove: AABC
-
'
APMN
^r.r
A*ac bb k= %.
Lk{tA', Lc?tcl
t*'('|= k((4) = Pil
/*'TL4z Ly
/.ct 2/c; Ll
A dV'cte Lfuil bS ArA
lrta,l--
A*nL
tu A PnN
b!- u
r^c<-up,ns-o1
tn r"r< g,^^,tS
*mtla*ify
ta '
--r"A
\
\,
2' Prove that if two corresponding proportiohal sides and the included corresponding congruent angle (SAS)
is enough
for establishing similarity.
Given:
lA=/.p and PM -PN
AB AC
B
Prove: AABC
- APMN
3' Prove that if two triangles to be similar we need to find a sequence of similarity transformations that map AABC
on to
ADEF.
PN MN
Glven:PM -----r=AB AC ,BC Prove: MBC - APMN
D;lo{- t7*v e b+ k= H
A'8, =
A (#) = r^, so *L-t
k, (?) = & @) =PN,5o .Atct= ?^)
r" 6tct* nN
f>,ct = B( (m\--Bc(#)= r.,t,N,
fr'c' =
Aftac'y Apuru bg
ss
Apnc n- b PUtl 6g a-
ruapo'1
'
nf' vn''W 1,o',n'$r't'"*!)'t*9
G.SRT.3 WORKSHEET #7
2
4. By construction, use similarity constructions to map AABC onto ANMp.
(Hint: Dr,, (LAAC) first and then reflect.) (There are many ways to do this construction)
l' ;
A
E.
5. By construction, use similarity construction to map AABC onto ANpM.
(Hint: D, , (UnC) first and then rotate.) (There are many ways t_o do this construction)
o',
lnr
Da,{-
6,+0.)
\rI
T a73,
(aAut)
,L
R ,,,o0, (L frt'g' ,c*)

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