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NAME _____________________________________________ DATE ____________________________ PERIOD _____________ Chapter 5 Study Guide For Questions 1-4, refer to the figure. 1. Name an angle bisector. A Μ Μ Μ πΎπΌ B βββββ πΊπΏ C β‘ββββ π½π Μ Μ Μ D Μ π»π½ 2. Name a median. F Μ Μ Μ πΎπΌ G βββββ πΊπΏ H β‘ββββ π½π Μ Μ Μ J Μ π»π½ 3. Name an altitude. A Μ Μ Μ πΎπΌ B βββββ πΊπΏ C β‘ββββ π½π Μ Μ Μ D Μ π»π½ H β‘ββββ π½π Μ Μ Μ J Μ π»π½ 4. Name a perpendicular bisector. F Μ Μ Μ πΎπΌ G βββββ πΊπΏ For Questions 5-7, refer to the figure to determine which is a true statement for the given information. Μ Μ Μ Μ Μ is an angle bisector. 5. ππ A β YWZ is a right angle. B β XYW β β ZYW C XW = WZ D XY = ZY Μ Μ Μ Μ Μ is an altitude. 6. ππ F β YWZ is a right angle. G β XYW β β ZYW H XW = WZ J XY = ZY Μ Μ Μ Μ Μ is a median. 7. ππ A β YWZ is a right angle. B β XYW β β ZYW C XW = WZ D XY = ZY 8. Name the longest side of β³ABC. Μ Μ Μ Μ Μ Μ Μ Μ F π΄π΅ H π΄πΆ Μ Μ Μ Μ G π΅πΆ J cannot tell 9. Name the angle with greatest measure in β³DEF. A β D C β F B β E D cannot tell Chapter 5 51 Glencoe Geometry NAME _____________________________________________ DATE ____________________________ PERIOD _____________ 14. Which angles are less than mβ 5 15. Which angles are greater than mβ 8 16. The incenter of a triangle is always located inside the triangle. True False 17. The centroid of a triangle is sometimes located outside the triangle. True False 18. The orthocenter of a triangle is always located inside the triangle. True False 19. The perpendicular bisectors of a triangle intersect at the circumcenter. True False 20. The incenter is equidistant from each side of the triangle. True False 21. The centroid of a triangle is located two thirds of the distance from each vertex to the midpoint of the opposite side. True False 22. Concurrent lines never intersect. True False 23. The altitudes of a triangle intersect at the orthocenter. True False 24. The point of concurrency of the medians of a triangle is called the incenter. True False 25. The point of concurrency is the point at which three or more lines intersect. True False 26. The circumcenter of a triangle is equidistant from the vertices of the triangle. True False 27. To find the centroid of a triangle, first construct the angle bisector. True False 28. The perpendicular bisectors of a triangle are concurrent lines. True False 29. The circumcenter of a triangle is always located inside the triangle. True False Chapter 5 52 Glencoe Geometry