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Geometry Chapter 4 Test Review Name:_________________________________ Classify the triangles by its angles (acute, obtuse, right, equiangular) and sides (scalene, isosceles, equilateral) . 1. 2. sides: sides: angles: angles: Find the measure of ∠1. 3. 4. m ∠1 : ______ m ∠1 : ______ 5. 6. m ∠1 : ______ m ∠1 : ______ Find the value of x. 7. 8. Equation: Equation: x= x= 5. 10. Equation: Equation: x= x= 11. 12. Equation: x= x= Find the unknown side length. Round your answer to the nearest tenth, if necessary. 13. 14. Equation: Equation: c= a= 15. 16. Equation: Equation: a= c= 17. Do the side lengths 5, 6, and 7 form a Pythagorean Triple? Find the distance between the two points. Round your answer to the nearest tenth, if necessary. Hint: Distance= √(x2 − x1 )2 + (y2 − y1 )2 18. 19. Classify the triangle with the given side lengths as acute, right, or obtuse. 20. 8, 10, 11 21. 2, 5, 6 22. 3, 8, √73 23. 12, 13, 17 24. 8, 15, 17 25. 4, 4.5, 7 Draw the three medians of the triangle. 26. 27. If P is the centroid of each triangle, identify the segments that are congruent. 28. 29. ______ ≅ _______ ______ ≅ _______ ______ ≅ _______ ______ ≅ _______ ______ ≅ _______ ______ ≅ _______ 30. R is the centroid of ∆ABC and AD = 9. Find AR and RD. 31. S is the centroid of ∆DEF and EG = 36. Find ES and SG. AR = ES = RD = SG = 32. A it the centroid of ∆LMN and AB = 5. Find MA and MB. 33. Q is the centroid of ∆CDE and QF = 7. Find EQ and EF. MA= EQ = MB = EF = Name the angles from largest to smallest. 34. 35. 36. ______________________________ ________________________ ________________________ Name the sides from longest to shortest. 37. 38. 39. ________________________ _______________________ _______________________ Name the longest segment in the figure. 40. 41. ________________ _____________ Can the side lengths form a triangle? 40. 7, 16, 8 41. 10, 6, 5 42. 8, 11.9, 20 Show work here: Show work here: Show work here: yes yes yes or (circle one) no 43. 6, 5, 3 Show work here: yes or (circle one) no or no (circle one) or no (circle one) 44. 14, 27, 13 45. 8, 8, 8 yes yes Show work here: or no (circle one) Show work here: or no (circle one)