Skills Practice Workbook - Glencoe

Skills Practice Workbook - Glencoe Skills Practice Workbook - Glencoe

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5–5 NAME DATE PERIOD Skills Practice SSS and SAS Write a congruence statement for each pair of triangles represented. 1. A�C� � N�O�, C�L� � O�P�, �C � �O 2. W�X� � A�B�, X�Z� � B�C�, W�Z� � A�C� �ACL � �NOP �WXZ � �ABC 3. E�G� � P�S�, E�H� � P�T�, �E � �P 4. H�Y� � R�P�, E�Y� � A�P�, �Y � �P �EGH � �PST �HEY � �RAP 5. Z�A� � Q�R�, A�P� � R�S�, Z�P� � Q�S� 6. M�L� � Z�N�, L�R� � N�B�, �L � �N �ZAP � �QRS �MRL � �ZBN Determine whether each pair of triangles is congruent. If so, write a congruence statement and explain why the triangles are congruent. 7. A B C 8. �ABD � �CBD; SAS �AER � �WDG; SSS 9. 10. G D H I D E J �HGE � �HIJ; SAS �QAD � �QAU; SAS 11. P 12. L R �PLR � �RAP; SSS �UWZ � �XWY; SAS Use the given information to determine whether the two triangles are congruent by SAS. Write yes or no. 13. � L � � M, L�D� � M�R�, L�O� � M�A� yes 14. � L � � M, L�D� � M�R�, � O � � A, no 15. L�D� � M�R�, L�O� � M�A�, � O � � A, no 16. L�D� � M�R�, L�O� � M�A�, � D�O� � R�A� no A © Glencoe/McGraw-Hill 29 Geometry: Concepts and Applications A A U U Z R D E G W W L Q X Y D R O M A

5–6 NAME DATE PERIOD Skills Practice ASA and AAS Write a congruence statement for each pair of triangles represented. 1. In �ABC and �ZXR, �C � �X, �A � �Z, and A�B� � Z�R�. �ABC � �ZRX 2. In �DEF and �BGO, �D � �B, �E � �O, and D�E� � B�O�. �DEF � �BOG 3. In �TRI and �GAN, �T � �A, T�I� � A�G�, and T�R� � A�N�. �TRI � �ANG 4. In �ZIP and �LOS, �P � �O, �I � �L, and P�I� � O�L�. �ZIP � �SLO Name the additional congruent parts needed so that the triangles are congruent by the postulate or theorem indicated. 5. AAS 6. ASA M �R � �D �S � �B 7. AAS 8. ASA O O�N� � A�C� or M�O� � B�A� X�Z� � B�C� Determine whether each pair of triangles is congruent by SSS, SAS, ASA, or AAS. If it is not possible to prove that they are congruent, write not possible. 9. F 10. I F R D A C SSS ASA 11. 12. A M B N B H N C C A G V K not possible AAS S T © Glencoe/McGraw-Hill 30 Geometry: Concepts and Applications A X X C Z V Y S C A R B B T R

5–5<br />

NAME DATE PERIOD<br />

<strong>Skills</strong> <strong>Practice</strong><br />

SSS and SAS<br />

Write a congruence statement for each pair of triangles represented.<br />

1. A�C� � N�O�, C�L� � O�P�, �C � �O 2. W�X� � A�B�, X�Z� � B�C�, W�Z� � A�C�<br />

�ACL � �NOP �WXZ � �ABC<br />

3. E�G� � P�S�, E�H� � P�T�, �E � �P 4. H�Y� � R�P�, E�Y� � A�P�, �Y � �P<br />

�EGH � �PST �HEY � �RAP<br />

5. Z�A� � Q�R�, A�P� � R�S�, Z�P� � Q�S� 6. M�L� � Z�N�, L�R� � N�B�, �L � �N<br />

�ZAP � �QRS �MRL � �ZBN<br />

Determine whether each pair of triangles is congruent. If so, write a congruence<br />

statement and explain why the triangles are congruent.<br />

7. A B C<br />

8.<br />

�ABD � �CBD; SAS �AER � �WDG; SSS<br />

9. 10.<br />

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�HGE � �HIJ; SAS �QAD � �QAU; SAS<br />

11. P<br />

12.<br />

L R<br />

�PLR � �RAP; SSS �UWZ � �XWY; SAS<br />

Use the given information to determine whether the two triangles are congruent by<br />

SAS. Write yes or no.<br />

13. � L � � M, L�D� � M�R�, L�O� � M�A� yes<br />

14. � L � � M, L�D� � M�R�, � O � � A, no<br />

15. L�D� � M�R�, L�O� � M�A�, � O � � A, no<br />

16. L�D� � M�R�, L�O� � M�A�, � D�O� � R�A� no<br />

A<br />

© <strong>Glencoe</strong>/McGraw-Hill 29 Geometry: Concepts and Applications<br />

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