4-Congruence and Triangles - Kuta Software
4-Congruence and Triangles - Kuta Software
4-Congruence and Triangles - Kuta Software
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-1-<br />
©Q g20031Z1Q bKyuEtPal jSwoIfntWwvarrZeJ rLkLzCE.F a cAmlylB grCiogIhntos6 vrLessBe2rFvNeNdN.c U RM8aedfeF ewCittxhh QIinGftiFnuirtseV yGJejoKm0e1tFrGyU.k Worksheet by <strong>Kuta</strong> <strong>Software</strong> LLC<br />
<strong>Kuta</strong> <strong>Software</strong> - Infinite Geometry<br />
Name___________________________________<br />
<strong>Congruence</strong> <strong>and</strong> <strong>Triangles</strong><br />
Complete each congruence statement by naming the corresponding angle or side.<br />
Date________________ Period____<br />
1) ∆DEF ≅ ∆KJI<br />
2) ∆BAC ≅ ∆LMN<br />
E<br />
K<br />
I<br />
A<br />
M<br />
L<br />
D<br />
F<br />
J<br />
B<br />
C<br />
N<br />
FD ≅ ?<br />
∠A ≅ ?<br />
3) ∆TUV ≅ ∆GFE<br />
4) ∆WVU ≅ ∆GHI<br />
U<br />
F<br />
G<br />
W<br />
V<br />
I<br />
U G H<br />
T<br />
V<br />
E<br />
∠W ≅ ?<br />
∠U ≅ ?<br />
5) ∆ZXY ≅ ∆ZXC<br />
Y<br />
6) ∆DEF ≅ ∆DSR<br />
E<br />
F<br />
X<br />
Z<br />
D<br />
R<br />
S<br />
C<br />
∠Y ≅ ?<br />
∠F ≅ ?<br />
Write a statement that indicates that the triangles in each pair are congruent.<br />
7)<br />
J<br />
T<br />
R<br />
8)<br />
D<br />
H<br />
I<br />
I<br />
K<br />
S<br />
C<br />
B<br />
G
-2-<br />
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9)<br />
R<br />
10)<br />
I<br />
S<br />
Q<br />
P<br />
R<br />
T<br />
D<br />
11)<br />
X<br />
C<br />
E<br />
12)<br />
U<br />
D<br />
C<br />
W<br />
V<br />
D<br />
T<br />
S E<br />
Mark the angles <strong>and</strong> sides of each pair of triangles to indicate that they are congruent.<br />
13) ∆BDC ≅ ∆MLK<br />
14) ∆GFE ≅ ∆LKM<br />
D<br />
M<br />
K<br />
E<br />
G<br />
L<br />
B<br />
C<br />
15) ∆MKL ≅ ∆STL<br />
L<br />
F<br />
16) ∆HIJ ≅ ∆JTS<br />
M<br />
K<br />
K<br />
S<br />
I<br />
T<br />
M<br />
L<br />
17) ∆CDB ≅ ∆CDL<br />
T<br />
H<br />
18) ∆JIK ≅ ∆JCD<br />
J<br />
S<br />
C<br />
I<br />
K<br />
L<br />
J<br />
B<br />
D<br />
C<br />
D
-1-<br />
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<strong>Kuta</strong> <strong>Software</strong> - Infinite Geometry<br />
Name___________________________________<br />
<strong>Congruence</strong> <strong>and</strong> <strong>Triangles</strong><br />
Complete each congruence statement by naming the corresponding angle or side.<br />
Date________________ Period____<br />
1) ∆DEF ≅ ∆KJI<br />
IK 2) ∆BAC ≅ ∆LMN<br />
∠M<br />
E<br />
K<br />
I<br />
A<br />
M<br />
L<br />
D<br />
F<br />
J<br />
B<br />
C<br />
N<br />
FD ≅ ?<br />
∠A ≅ ?<br />
3) ∆TUV ≅ ∆GFE<br />
∠F<br />
4) ∆WVU ≅ ∆GHI<br />
∠G<br />
U<br />
F<br />
G<br />
W<br />
V<br />
I<br />
U G H<br />
T<br />
V<br />
E<br />
∠W ≅ ?<br />
∠U ≅ ?<br />
5) ∆ZXY ≅ ∆ZXC<br />
∠C<br />
6) ∆DEF ≅ ∆DSR<br />
∠R<br />
Y<br />
E<br />
F<br />
X<br />
Z<br />
D<br />
R<br />
S<br />
C<br />
∠Y ≅ ?<br />
∠F ≅ ?<br />
Write a statement that indicates that the triangles in each pair are congruent.<br />
7)<br />
J<br />
T<br />
R<br />
∆JKI ≅ ∆TRS 8)<br />
D<br />
H<br />
I<br />
∆BCD ≅ ∆GHI<br />
I<br />
K<br />
S<br />
C<br />
B<br />
G
-2-<br />
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9)<br />
R<br />
∆PQR ≅ ∆QPD 10)<br />
I<br />
S<br />
∆RST ≅ ∆SRI<br />
Q<br />
P<br />
R<br />
T<br />
D<br />
11)<br />
X<br />
C<br />
E<br />
∆VWX ≅ ∆CDE<br />
12) S<br />
U<br />
D<br />
C<br />
∆STU ≅ ∆CDE<br />
W<br />
V<br />
D<br />
T<br />
E<br />
Mark the angles <strong>and</strong> sides of each pair of triangles to indicate that they are congruent.<br />
13) ∆BDC ≅ ∆MLK<br />
14) ∆GFE ≅ ∆LKM<br />
D<br />
M<br />
K<br />
E<br />
G<br />
L<br />
B<br />
C<br />
15) ∆MKL ≅ ∆STL<br />
L<br />
F<br />
16) ∆HIJ ≅ ∆JTS<br />
M<br />
K<br />
K<br />
S<br />
I<br />
T<br />
M<br />
L<br />
17) ∆CDB ≅ ∆CDL<br />
T<br />
H<br />
18) ∆JIK ≅ ∆JCD<br />
J<br />
S<br />
C<br />
I<br />
K<br />
L<br />
J<br />
B<br />
D<br />
C<br />
D<br />
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