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Geometry Unit, Day 2 Homework Name:____________________________________________________________________Date:________________ CAT JSD. List each of the following. 1. three pairs of congruent sides 2. three pairs of congruent angles WXYZ JKLM. List each of the following. 3. four pairs of congruent sides 4. four pairs of congruent angles For Exercises 5 and 6, can you conclude that the triangles are congruent? Justify your answers. 5. GHJ and IHJ 6. QRS and TVS 7. Developing Proof Use the information given in the diagram. Give a reason that each statement is true. a. L /Q b. LNM QNP c. M P d. LM QP, LN QN, MN PN e. LNM QNP Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information. Explain your answer. 8. 11. 9. 12. 10. 13. 14. 15. 16. 17. Given: BC DC, AC EC Prove: ABC EDC Statements Reasons 18. Given: WX || YZ ,WX YZ Prove: WXZ YZX 19. Error Analysis FGH and PQR are both equilateral triangles. Your friend says this means they are congruent by the SSS Postulate. Is your friend correct? Explain. 20. Reasoning Suppose AB DE, B E, and AB BC. Is ∆ABC congruent to ∆DEF? Explain. 21. Given: BD is the perpendicular bisector of AC . Prove: ∆BAD ∆BCD Statements Reasons 1) BD is the perpendicular bisector of AC . 1) Given 2) AD CD 2) Definition of segment bisector 3) ADB 3) Definition of perpendicular and CDB are right . 4) 4) 5) 5) 6) 6) Geometry Unit, Day 2 Homework