Copy and complete the statement 10 If QP QR then 11 If TRV TVR then 12 If RQ RS

Copy and complete the statement 10 if qp qr then 11

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Copy and complete the statement. 10. If QP QR , then __ __. 11. If TRV TVR , then ___ ___. 12. If RQ RS , then __ __. 13. If SRV SVR , then ___ ___. 14. Find the values of x and y in the diagram. N M L T V S Q P R 5 y + 1 8 x ° 26 Proving Triangle Congruence by SAS (pp. 245–250) 5.3 Write a proof. Given AC EC , BC DC Prove ABC EDC STATEMENTS REASONS 1. AC EC 1. Given 2. BC DC 2. Given 3. ACB ECD 3. Vertical Angles Congruence Theorem (Theorem 2.6) 4. ABC EDC 4. SAS Congruence Theorem (Theorem 5.5) Decide whether enough information is given to prove that WXZ YZX using the SAS Congruence Theorem (Theorem 5.5) . If so, write a proof. If not, explain why. 8. Y Z X W 9. Y Z X W E C D B A
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292 Chapter 5 Congruent Triangles Proving Triangle Congruence by SSS (pp. 261–268) 5.5 Write a proof. Given AD CB , AB CD Prove ABD CDB STATEMENTS REASONS 1. AD CB 1. Given 2. AB CD 2. Given 3. BD DB 3. Re exive Property of Congruence (Theorem 2.1) 4. ABD CDB 4. SSS Congruence Theorem (Theorem 5.8) 15. Decide whether enough information is given to prove that LMP NPM using the SSS Congruence Theorem (Thm. 5.8). If so, write a proof. If not, explain why. P N M L 16. Decide whether enough information is given to prove that WXZ YZX using the HL Congruence Theorem (Thm. 5.9) . If so, write a proof. If not, explain why. Y X W Z Proving Triangle Congruence by ASA and AAS (pp. 269–276) 5.6 Write a proof. Given AB DE , ABC DEC Prove ABC DEC STATEMENTS REASONS 1. AB DE 1. Given 2. ABC DEC 2. Given 3. ACB DCE 3. Vertical Angles Congruence Theorem (Thm. 2.6) 4. ABC DEC 4. AAS Congruence Theorem (Thm. 5.11) B C D A B A C D E
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Chapter 5 Chapter Review 293 Decide whether enough information is given to prove that the triangles are congruent using the AAS Congruence Theorem (Thm. 5.11) . If so, write a proof. If not, explain why. 17. EFG , HJK 18. TUV , QRS E G H K F J T V U Q S R Decide whether enough information is given to prove that the triangles are congruent using the ASA Congruence Theorem (Thm. 5.10) . If so, write a proof. If not, explain why. 19. LPN , LMN 20. WXZ , YZX P N M L X Y Z W Using Congruent Triangles (pp. 277–282) 5.7 Explain how you can prove that A D . If you can show that ABC DCB, then you will know that A D. You are given AC DB and ACB DBC. You know that BC CB by the Re exive Property of Congruence (Thm. 2.1). Two pairs of sides and their included angles are congruent, so by the SAS Congruence Theorem (Thm. 5.5), ABC DCB . Because corresponding parts of congruent triangles are congruent, A D . 21. Explain how to prove that K N . J K H M L N 22.
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