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Geometry Chapter 5 TEST Multiple Choice Identify the choice that best completes the statement or answers the question. 1 Name a median for A E n +7 | F D E ) | 2n – 5 ) ) C ) F B D a b a d 2 Find the length of , given that median of the triangle and AC = 34. is a D A a b c d 3 38 19 c 24 d 20 4 Find the center of the circle that you can circumscribe about with E(2, 6), F(2, 2), and G(4, 2). a (3, 4) b (2, 5) c (5, 2) d (4, 3) 5 Where can the perpendicular bisectors of the sides of a right triangle intersect? I. inside the triangle II. on the triangle III. outside the triangle a I only b II only c I or II only d I, II, or II 6 Which diagram shows a point P an equal distance from points A, B, and C? b c B C 17 34 68 not enough information bisects not to scale. Find FG. The diagram is G a b 65 73 6x + 3 73 65 c 4x + 78 a 37.5 33 c 114 d 57 9 Q is equidistant from the sides of The diagram is not to scale. b d Find T | (5 x 7 Find the value of x. | + 4) ° Q (9x – 12)° S a b 14 c d 2x – 9 R 48 8 4 24 10 and List the sides of from shortest to longest. in order a b a 11.5 b 7 c 10 d 8 8 Find the length of the midsegment. The diagram is not to scale. c d 11 In ACE, G is the centroid and BE = 18. Find BG and GE. C C 5 B G 6 D 7 A A F B E a b c a BG = 9, GE = 9 1 1 BG = 4 , GE = 13 2 2 b c d d 12 Use the information in the diagram to determine the height of the tree. The diagram is not to scale. Two angles are the same size and smaller than the third. 16 List the sides in order from shortest to longest. The diagram is not to scale. J 57° 130 ft 91° K a 65 ft 32.5 ft c 30.5 ft d 130 ft 13 Where is the center of the largest circle that you could draw inside a given triangle? a the point of concurrency of the altitudes of the triangle b the point of concurrency of the perpendicular bisectors of the sides of the triangle c the point of concurrency of the bisectors of the angles of the triangle d the point of concurrency of the medians of the triangle 14 Three security cameras were mounted at the corners of a triangular parking lot. Camera 1 was 146 ft from camera 2, which was 101 ft from Camera 3. Cameras 1 and 3 were 130 ft apart. Which camera had to cover the greatest angle? a camera 1 b camera 2 c camera 3 d cannot tell 15 Name the smallest angle of The diagram is not to scale. b 32° L a b c d 17 B is the midpoint of D is the midpoint of and AE = 17. Find BD. The diagram is not to scale. 22 What is the name of the segment inside the large triangle? C B A D E a a b c d 18 In a median midsegment c perpendicular bisector d angle bisector 23 Two sides of a triangle have lengths 7 and 15. Which expression describes the length of the third side? a greater than 8 and less than 22 b greater than 8 and at most 22 c at least 8 and less than 22 d at least 8 and at most 22 24 Two sides of a triangle have lengths 6 and 16. Which inequalities represent the possible lengths for the third side, x? b 7.5 8.5 34 17 centroid D is on median . and Find AM. 10 3 b 7 c 14 d 15 19 Where can the lines containing the altitudes of an obtuse triangle intersect? I. inside the triangle II. on the triangle III. outside the triangle a I only b I or II only c III only d I, II, or II 20 Which three lengths could be the lengths of the sides of a triangle? a 6 cm, 24 cm, 11 cm b 21 cm, 5 cm, 9 cm c 13 cm, 7 cm, 20 cm d 10 cm, 14 cm, 23 cm 21 Where can the bisectors of the angles of an obtuse triangle intersect? I. inside the triangle II. on the triangle III. outside the triangle a I only b III only c I or III only d I, II, or II a b c d 25 For a triangle, list the respective names of the points of concurrency of • perpendicular bisectors of the sides • bisectors of the angles • medians • lines containing the altitudes. a incenter circumcenter centroid orthocenter b circumcenter incenter centroid orthocenter c circumcenter incenter orthocenter centroid d incenter circumcenter orthocenter centroid 26 Find the center of the circle that you can circumscribe about the triangle. y 5 (–3, 2) –5 (–3, –1) (0, –1) –5 a b c d 3 ( , –1) 2 1 (–3, ) 2 3 1 ( , ) 2 2 1 3 ( , ) 2 2 5 x Geometry Chapter 5 TEST Answer Section MULTIPLE CHOICE 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 C A B A B A D D A C D A C C B C B C C D A D A B B C