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Name_______________________________________ Date_____________ Period______ Geometry w/ Trig Unit 6 Triangle Congruence Review – Part 2 _____ ______ _____ ______ _____ ______ _____ ______ _____ ______ _____ ______ Congruence Statement: ____________________ _____ ______ _____ ______ _____ ______ _____ ______ _____ ______ _____ ______ _____ ______ _____ ______ Congruence Statement: ___________________ 3. a) List all pairs of congruent sides and angles: _____ ______ _____ ______ _____ ______ _____ ______ _____ ______ _____ ______ _____ ______ _____ ______ x = _______ y = _______ b) set up equations: w = ________ z = _________ 4. Use the diagram on the right, where LMN PQR . Mark the corresponding angles and sides congruent. a. mP ________ e. MNL _______ b. mM ________ f. c. R _______ g. LN QR ______ ______ d. mN ________ 5. Given XYZ RST , find a and b. a = _____________ b = _____________ For #6-9, state the postulate that proves the triangles congruent. Complete the congruence statement. 6. 7. Postulate: Postulate: _____________ _____________ ΔKLN ΔPQR __________ 8. __________ 9. Postulate: Postulate: _____________ _____________ ΔGHF ΔMLN __________ __________ For #10-12, explain why the two triangles CANNOT be proven congruent. 10. _____________________________________________________________ _____________________________________________________________ 11. _____________________________________________________________ _____________________________________________________________ 12. _____________________________________________________________ _____________________________________________________________ MULTIPLE-CHOICE: For #13-14, choose the correct answer. 13. In order to use the AAS Postulate to prove ΔABC ΔDEF, what is the third pair of parts that needs to be congruent? A. B E B. C F C. B F D. C E 14. In order to use the SAS Postulate to prove ΔABC ΔDEF, what is the third pair of parts that needs to be congruent? A. A F B. B E C. A D D. C D 15. Given ADC CBA , mark the diagram, solve for x, and find the area of ADC . ( Area 1 bh ). 2 Given: NPM NPO NP bi sec ts MNO 16. Prove: MNP ONP Statements Reasons 1. 1. 2. NP bi sec ts MNO 2. 3. 3. If a segment bisects an ___________ _______ ________ Then its splits the angle into _________________________________ 4. 4. 5. 5. Given: Q S 17. R is the midpoint of PT . Prove: PRQ TRS Statements Reasons 1. 1. Given 2. 2. If two angles are _____________________, then they are _______________________. 3. R is the midpoint of PT . 3. Given 4. 4. If a point is the _________________ of a segment, then it divides the segment into 2 5. 5. __________________.