Name ______Date ______

HW Proving Triangle Congruency Part II

State the third congruence that is needed to prove that DEF= MNOusing the given postulate or theorem.

1.GIVEN:  ,MD, __?__  __?__ Use the SAS Congruence

2.GIVEN:  ,FO, __?__  __?__ Use the AAS Congruence

3.GIVEN:  ,FO, __?__  __?__ Use the ASA Congruence

State the third congruence that is needed to prove that ABCXYZusing the given postulate or theorem.

4.GIVEN: AX, BY, __?__  __?__ Use the AAS Congruence

5.GIVEN: AX,  , __?__  __?__ Use the ASA Congruence

6.GIVEN:  , CZ, __?__  __?__ Use the SAS Congruence

7.Is it possible to prove that the triangles are congruent? If so, state the postulate(s) or theorem(s) you would use.

7.

Tell whether you can use the given information to determine whether JRM= XYZ. Explain your reasoning.

10.  ,MZ,RY

11.  ,  , J X

12.J X,MZ,RY

13.MZ, RY, 

Explain how you can prove that the indicated triangles are congruent using the given postulate or theorem by identifying the congruent parts.

14.BEFBED by SAS

15.ADBCFB by ASA

16.AFBCDB by AAS

17.Proof Complete the proof.

GIVEN: 

PROVE: WXU YZV

Statements / Reasons
1. || / 1.__?__
2.UWXVYZ / 2.__?__
3. / 3.__?__
4.UWXVZY / 4.__?__
5. / 5.__?__
6.UWXYZV / 6.__?__

18.ProofWrite a proof.

GIVEN: BD, DAEBEA

PROVE: ABCEDC

Statements / Reasons
1. BD / 7.__?__
7.DAEBEA / 8.__?__
8. / 9.__?__
9.ABCEDC / 10.__?__

14.Proof Complete the proof.

GIVEN:XYW  ZWY,  WXY  YZW

PROVE:||

Statements / Reasons
1.XYW ZWY / 1.__?__
2. WXY  YZW / 2.__?__
3. / 3.__?__
4.XYWZWY / 4.__?__
5.XWY ZYW / 5.__?__
6. / 6.__?__