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Name ________________________________________________________________ Hour _____ Chapter 5 Review Use WXY, where R, S, and T are midpoints of the sides. 1. If RS = 15, then WY = ___________ 2. RT ________ 3. If the perimeter of RST is 24, then the perimeter of WXY is ___________. Find the value of x. 4. 5. 4x – 2 8x – 14 x 2x + 5 6. RT is the perpendicular bisector of RSU. Find x. 7. In the diagram shown, the perpendicular bisectors of ABC meet at point P. If BP = 8, find PC. 8. The perpendicular bisectors of RST meet at point D. Find RD. 9. CD AB and AC BC . Find BC & BD. 8 5 Geometry A Name ________________________________________________________________ Hour _____ Use the information shown to answer the next two questions. 10. Find the value of x. FD is the perpendicular bisector of CA . FD bisects ADC. 11. Find the value of y. Use the figure for the next three questions. 12. In ABC, if FBG = 39° and BD is an angle bisector, Find mBAZ. 13. Identify a median of ABC. 14. Identify an altitude of ABC. Use the following information and diagram to answer the next four questions. G is the centroid of ABC, AD BC , CD = 7, EB = 3.5, AG = 5, and AC = AB. 15. Find AC 16. Find GD 17. Find AD 18. Find the perimeter of ABC 19. In the diagram, L is the centroid of MNO and LQ = 4. Find OL. 20. BD is a median of ABC. Find x 8x – 12 2x + 33 Geometry A Name ________________________________________________________________ Hour _____ Determine whether it is possible to draw a triangle with sides of the given lengths in the next six questions. 21. 1, 4, 6 22. 17, 17, 33 23. 22, 26, 65 24. 6, 43, 39 25. 7, 54, 45 Use the diagram below to list the following: 27. Sides in order from least to greatest. 29. Sides in order from least to greatest. 26. 3, 4, 5 28. Angles in order from least to greatest. 30. Angles in order from least to greatest. Complete the next statements with one of the following: A. inside B. on C. Outside 31. The point of concurrency for perpendicular bisectors of a right triangle is ________ the triangle. 32. The point of concurrency for perpendicular bisectors of an acute triangle is ______ the triangle. 33. The point of concurrency for perpendicular bisectors of an obtuse triangle is ______ the triangle. 34. The centroid of a triangle is located _______________ the triangle. 35. In an obtuse triangle, the orthocenter is _______________ the triangle. 36. In an acute triangle, the orthocenter is _______________ the triangle. 37. In a right triangle, the orthocenter is _______________ the triangle Geometry A Name ________________________________________________________________ Hour _____ Complete the statements with <, >, or =. 38. m1 _____ m2 39. AT _____ BT 40. TP _____ AG 41. KD _____ CP Match the correct reason with each statement. REASON BANK A. Given B. AAS C. CPCTC D. Definition of lines E. Reflexive Property GIVEN: D is on the bisector of BAC. DB AB , DC AC , DBA DCA PROVE: DB DC Statements Reasons 1. D is on the bisector of BAC. DB AB , DB DC 1. 2. DBA and DCA are right angles 2. 3. DBA DCA 3. 4. DA DA 5. DBA DCA 6. DB DC 4. 5. 6. Geometry A Name ________________________________________________________________ Hour _____ Geometry A