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Name: __________________________________ Date: ____________________ Geometry College Prep Unit 3 Quiz 1 Review Sections 3.5, 4.1-4.4, 4.6 1. Find the value of each variable. x = _________° y = _________° z = _________° 2. x = _________° 3. Use the diagram at the right to answer the questions. a. Which angle is an exterior angle? b. What are its remote interior angles? c. Find m1 and m2. m1 = _________° m2 = _________° WXYZ JKLM. List each of the following. 4. Four pairs of congruent sides. _________ _________ _________ _________ _________ _________ _________ _________ 5.Four pairs of congruent angles. _________ _________ _________ _________ _________ _________ _________ _________ ABCD FGHJ. Find the measures of the given angles or lengths of the given sides. A D F J B C G H 6. mB = 3y, mG = y + 50 y = _________° mB = _________° mG = _________° 7. CD = 2x + 3; HJ = 3x + 2 x = _________ CD = _________ HJ = _________ Would you use SSS or SAS to prove the triangles congruent? If so, write a congruence statement. If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information. Explain your answer. 8. 9. _________________________________ 10. _________________________________ _________________________________ 11. _________________________________ Name two triangles that are congruent by ASA. 12. _________________________________ For each pair of triangles, tell why the two triangles are congruent. Give the congruence statement. Then list all the other corresponding parts of the triangles that are congruent. 13. 14. _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ Proof Practice Complete the following proofs. 17. Given: WVZ and VWX are right angles. WZ VX Prove: WVZ VWX Statements Reasons 1) 1) Given 2) 2) Given 3) 3) 4) 4) HL Theorem 18. Given: YA BA , B Y Prove: AZ AC Statements Reasons 1) YA BA , B Y 1) 2) YAZ and BAC are vertical angles. 2) Definition of vertical angles 3) YAZ BAC 3) 4) 4) 5) 5) 19. Given: WU || YV , XU || ZV , WX YZ Prove: WXU YZV Statements Reasons 1) WU || YV 1) 2) UWX VYZ 2) 3) XU || ZV 3) 4) UXW VZY 4) 5) WX YZ 5) 6) WXU YZV 6) 20. Given: B and D are right angles. AE bisects BD Prove: ABC EDC Statements Reasons 1) B and D are right angles. 1) AE bisects BD 2) 2) 3) 3) 4) 4) 5) ABC EDC 5) 21. Given: BC DC, AC EC Prove: ABC EDC Statements Reasons 1) BC DC, AC EC 1) 2) 2) 3) ABC EDC 3) 22. a) Find the slope of the line through the given points. (3, 1), (2, 8) m = _______________ b) Find the slope of a line parallel to the given points. parallel slope = _______________ c) Find the slope of a line perpendicular to the given points. perpendicular slope = _______________ 23. Find the equation of a line through (5, 4), (3, 6). equation: _________________________ 24. Find the equation of a horizontal line and a perpendicular line through the point (3, 0). equation (horizontal line): _________________________ equation (perpendicular line): _________________________