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Proving Triangles Congruent

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Proving Triangles Congruent Powered By Docstoc
					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
                        AD  BC
                        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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posted:10/19/2012
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