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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 />

Create your own worksheets like this one with Infinite Geometry. Free trial available at <strong>Kuta</strong><strong>Software</strong>.com

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