Name ______Date ______
LESSION 4.5
Practice B
For use with pages 249–255
State the third congruence that is needed to prove that DDEF= DMNO using the given postulate or theorem.
1. GIVEN: @ ,ÐM @ ÐD, __?__ @ __?__ Use the SAS Congruence Postulate.
2. GIVEN: @ ,ÐF @ ÐO, __?__ @ __?__ Use the AAS Congruence Theorem.
3. GIVEN: @ ,ÐF @ ÐO, __?__ @ __?__ Use the ASA Congruence Postulate.
State the third congruence that is needed to prove that DABC @ DXYZ using the given postulate or theorem.
4. GIVEN: ÐA @ ÐX, ÐB @ ÐY, __?__ @ __?__ Use the AAS Congruence Theorem.
5. GIVEN: ÐA @ ÐX, @ , __?__ @ __?__ Use the ASA Congruence Postulate.
6. GIVEN: @ , ÐC @ ÐZ, __?__ @ __?__ Use the SAS Congruence Theorem.
Is it possible to prove that the triangles are congruent? If so, state the postulate(s) or theorem(s) you would use.
7.
8.
9.
Tell whether you can use the given information to determine whether DJRM= DXYZ. Explain your reasoning.
10. @ , ÐM @ ÐZ, ÐR @ ÐY
11. @ , @ , ÐJ @ ÐX
12. ÐJ @ ÐX, ÐM @ ÐZ, ÐR @ ÐY
13. ÐM @ ÐZ, ÐR @ ÐY, @
Name ______Date ______
LESSION 4.5
Practice B continued
For use with pages 249–255
Explain how you can prove that the indicated triangles are congruent using the given postulate or theorem.
14. DBEF @ DBED by SAS
15. DADB @ DCFB by ASA
16. DAFB @ DCDB by AAS
17. Proof Complete the proof.
GIVEN: @
PROVE: DWXU @ DYZV
1. || / 1. __?__
2. ÐUWX @ ÐVYZ / 2. __?__
3. / 3. __?__
4. ÐUWX @ ÐVZY / 4. __?__
5. / 5. __?__
6. DUWX @ DYZV / 6. __?__
18. Proof Write a proof.
GIVEN: ÐB @ ÐD, ÐDAE @ ÐBEA
PROVE: DABC @ DEDC