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

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[ TRIANGLE PROOF PACKET ] Name __________________________ Period ____________ Date _______________ Total points = /25

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Page 1: Triangle Proof Packet-4.3 - Ozark School District · State what additional information is required in order to know that the triangles are congruent for the reason given. Decide whether

[ 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

Page 2: Triangle Proof Packet-4.3 - Ozark School District · State what additional information is required in order to know that the triangles are congruent for the reason given. Decide whether

Triangles in Art, Music, Science, Architecture and History

Page 3: Triangle Proof Packet-4.3 - Ozark School District · State what additional information is required in order to know that the triangles are congruent for the reason given. Decide whether

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

_________________________

_________________________

_________________________

_________________________

_________________________

_________________________

_________________________

_________________________

Page 4: Triangle Proof Packet-4.3 - Ozark School District · State what additional information is required in order to know that the triangles are congruent for the reason given. Decide whether

12)

13)

Page 5: Triangle Proof Packet-4.3 - Ozark School District · State what additional information is required in order to know that the triangles are congruent for the reason given. Decide whether

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

Page 6: Triangle Proof Packet-4.3 - Ozark School District · State what additional information is required in order to know that the triangles are congruent for the reason given. Decide whether

14)

15)

12)

13)

Page 7: Triangle Proof Packet-4.3 - Ozark School District · State what additional information is required in order to know that the triangles are congruent for the reason given. Decide whether

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

Page 8: Triangle Proof Packet-4.3 - Ozark School District · State what additional information is required in order to know that the triangles are congruent for the reason given. Decide whether

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14)

Page 9: Triangle Proof Packet-4.3 - Ozark School District · State what additional information is required in order to know that the triangles are congruent for the reason given. Decide whether

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

Page 10: Triangle Proof Packet-4.3 - Ozark School District · State what additional information is required in order to know that the triangles are congruent for the reason given. Decide whether

12)

13)

11)

Page 11: Triangle Proof Packet-4.3 - Ozark School District · State what additional information is required in order to know that the triangles are congruent for the reason given. Decide whether

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

Page 12: Triangle Proof Packet-4.3 - Ozark School District · State what additional information is required in order to know that the triangles are congruent for the reason given. Decide whether

13)

14)

15)

Given

Given

Re�exive

AAS

CPCTC

Alternate Interior Angles Converse