GEOMETRY Worksheet NAME

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GEOMETRY Worksheet s Worksheet II

NAME___________________________________ DATE______________________ PERIOD______

Write congruence (if possible) and tell which postulate (SSS, SAS, ASA, or AAS) you are using.

1. GKM__________ by __________

2. ABC__________ by __________

GK ML

G

K B E

A

D

GKML

C is midpoint of BE

DCBECA

M

L

B

C

E

3. PRQ__________ by __________

R is midpoint of

P

both PT and QS

S R

4. KLG__________ by __________

GL bisects KM

G

GL bisects KGM

Q

5. RNG__________ by __________

N

RN NE R E

A

G

T

K

L

M

6. DAB__________ by __________

AB DC A C

A

B

S

R

E

7. WIT__________ by __________

D

C

8. CON__________ by __________

T is midpt. of HI

W

WI HC

T

I CO GC ON NG

C

O N

G C H

9. GEO__________ by __________

OG bisects EOM

E

EO MO

G

M

10. TES __________ by __________

T

E is midpoint of both TA and SX

X E

O TS AX

S

A

3

11. DEB__________ by __________

12. KEG__________ by __________

C

DE EC

D

E is midpoint of KW

BE AE

E

KEG WEH G

H

K W

B A

K

E

W

13. TVU__________ by __________

T

VTU UVW TVU UWV

14. MDB __________ by __________

D is midpoint of MT

Z B

BD ZT

V

U BD ZT

M

D

T

W

15. WUY__________ by __________

16. BAD__________ by __________

U is midpoint of both

V

X AD bisects BAC

C

YX and WV

BA CA

WY VX

U

D A

B W Y

17. PFS__________ by __________

P

FP HP RF SH

R

S

18. AED__________ by __________

AE FC DE FB BED DFB

A E

B

F

H

19. COL__________ by __________ COU__________ by __________

C

CUD CLO

CUCL

OCUDCL

O

U

L D

D

F C

20. ABD__________ by __________

A

D

AB DC AD BC

B

C

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Geometry Worksheet-Congruent Triangles III

Name___________________________________ Date_________________________Period______

Label the drawing with the given information and state why the triangles are congruent. Use all eight theorems (SSS, SAS, ASA, AAS, HA, HL, LL, LA)

1. POR _________ by ________

2. LFE _________ by ________

POR TOR

P

PO TO

O

LF is the bisector of ET

L

R

3. PNO _________ by ________

N is the midpoint of OE

PN HE

P

H

PO ON

HN NE

O

N

5. MIT _________ by ________

I E

TI ME

T

T

E

F

T

4. HOM _________ by ________

HM bisects OHE

H

O E

O

E

E M

6. RUJ _________ by ________

J

JR UY I JR bisects UJY

E

M

7. XTE _________ by ________

X is the midpoint of both TS and AE

T

A X

U

Y

R

8. NEW _________ by ________

N

E

NW NE

SW SE NEW SEW

W

E

S

S

6

9. PTC _________ by ________

T I

TPC PCI

P

10. TUH _________ by ________

I HU bisects OHT

H

UH bisects OUT

T

C

11. MAO _________ by ________

MA OA A is the midpoint of MR

O

O

T

U

12. NOC _________ by ________

M CO NE CN OE

C

O

A

N

E

R

13. ULP _________ by ________

14. HRO _________ by ________

PL bisects UPA

P

A

HR RE

H

M

LP bisects ALU

ME ER

O is the midpoint

of RE

HMO is isos.

with base HM R

U

L

O

E

15. DGI _________ by ________

16. ANY _________ by ________

DG ER

D

Y

I YA AK

NE IG

E

SK KA

DG NI

RE NI

N

G R

N is the midpoint A

K

N

of YS

S

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Geometry Proofs using Isosceles Triangles

1. Given: 3 4 Prove: MA MC

Name__________________________________ Date______________________Period_______

M

31 A

24 C

2. Given: CAN is an isosceles triangle with vertex N CA || BE

Prove: NEB is an isosceles triangle.

C1 B3

A 2 4E

N

3. Given: 5 6

FR GS Prove: 4 3

F 53

G 46

12 X

R

S

4. Given: 3 4 1 2

Prove: ABC is isosceles with base AC

B

12 E

3 A

4C

5. Given: CA CB 1 2

Prove: AQ BP

C

1

2

A

P

8

Q

B

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