triangle proof packet-4.3 - ozark school district · state what additional information is required...

[ T R I A N G L E P R O O F P A C K E T ]

Name __________________________ Period ____________ Date _______________ Total points = /25

Triangles in Art, Music, Science, Architecture and History

State what additional information is required in order to know that the triangles are congruent for the reason given.

Decide whether the congruence statement is true. Explain your reasoning.

Determine whether . Explain your reasoning.

1) SSS

4)

10) 11)

5) 6)

7) 8) 9)

YZ

XD

2) SSS R S

T XY

Z3) SSS

E

FG

Y

XW

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12)

13)

State what additional information is required in order to know that the triangles are congruent for the reason given.

Decide whether enough information is given to prove the triangles are congruent using SAS. Explain your reasoning.

1) SAS

4)

10)

11)

5) 6)

7) 8) 9)

2) SAS 3) SAS

ML

KG

HI

E F

GQ

TR

S

D B

14)

15)

12)

13)

12)

State what additional information is required in order to know that the triangles are congruent for the reason given.

Decide whether enough information is given to prove the triangles are congruent using SAS. Explain your reasoning.

1) HL

5)

11)

6) 7)

8) 9) 10)

2) HL 3) HL 4) HL

D E

F VW

X

LK

M

HC

D

E

HI

JD F

E

TV

13)

14)

⊥

⊥

⊥

10)

State what additional information is required in order to know that the triangles are congruent for the reason given.

Decide whether enough information is given to prove the triangles are congruent using ASA. Explain your reasoning.

1) ASA

4) 5) 6)

7) 8) 9)

2) ASA 3) ASA

D

E

F

J

K

L

S

U T

D

M

L

K

S T

U

LFW ≅ LYW LFW ≅ LYW NHK ≅ NLG

Triangle_Proof_Packet-U2C4-0

Triangle_Proof_Packet-U2C4-0

12)

13)

11)

State what additional information is required in order to know that the triangles are congruent for the reason given.

Decide whether enough information is given to prove the triangles are congruent using AAS. Explain your reasoning.

1) AAS

4)

7)

8)

11) 12)

9)

10)

5) 6)

2) AAS 3) AAS

UST ≅ LJK TSN ≅ USH

D

E

F

J

K

L

LFW ≅ LYWDEF ≅ LKJ FLW ≅ YLW

13)

14)

15)

Given

Given

Re�exive

AAS

CPCTC

Alternate Interior Angles Converse