# Proving Triangles Congruent

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```					Name _________________________         Date _________
Proving triangles Congruent using ASA SAS AAS, SSS and HL

1. Given:     ABC with AC  BC         Statement           Reason
CD bisects  ACB

Prove:  ACD   BCD
C

A           D           B

2. Given:        AR  CB                Statement           Reason
AR bisects  CAB

Prove:  ACR   ABR

A

C           R           B

3. Given:    RMP bisects AMB            Statement           Reason
R  P

Prove:        RAM   BMP

A
R

M

B                          P
4.     Given:           DC  AB               Statement   Reason
D  B
AE  CF

Prove:           EDC  FBA

D                             C

E

F

A                            B

5. Given:        ABC CD bisects AB           Statement   Reason
CD is the altitude

Prove:  ACD   BCD
C

A              D         B

6. Given:       CA  CB                       Statement   Reasons
D is the midpoint of AB

Prove:  ACD   BCD
C

A                                    B
D
7. Given:         CA and DF bisect each other at E   Statement   Reasons

Prove:        DEA   FEC
C

D                E               F

A                                     B

8. Given:          ABC with AC  BC                 Statement   Reason
CD  AB

Prove:        ACD   BCD

C

A            D           B

9. Given:         CD and AB intersect at E           Statement   Reason
AB bisects CD
AC  CD and BD  CD

Prove:        ACE   BDE

B
C

E

A                                    D

```
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