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Geometry Honors Final Review ANSWERS [1] False [2] CD; ray [3] AB [4] 7.25 [5] 13º; 50º [6] The figure is not a polygon because not all sides are segments. [7] The figure is not a regular polygon because it is not equiangular. [8] 7 [9] Sample answer: [10] OU , OR, or OT [11] Sample answer: A chord intersects the circle at two points, whereas the tangent only intersects at one point. [12] [B] [13] 50; Each number is a successive odd number more than the preceding number. [14] 81; Each number is the sum of the two preceding numbers. [15] [16] 3n – 4 [17] b g n n –1 ; 11,175 2 [18] a 152 , b 28 , c 152 , d 76 , e 90 , f 118 , g 62 , h 62 , j 152 [19] 180 [20] congruent [21] x 49 [22] 78° [23] x 5 [24] No [25] Lines l and m should not be marked parallel because the sum of the two angle measures shown would have to add to 180 for the lines to be parallel and they do not. [26] [27] Orthocenter [28] 80° [29] x 22 [30] P [31] BG [32] [C] [33] [34] 5 [35] 2 3 [36] [D] [37] Yes. The distance from the circumcenter to the vertices is equidistant. [38] 77 [39] x 80 ; y 80 [40] x 21 [41] By the Triangle Inequality Conjecture, the sum of 17 cm and 31 cm should be greater than 54 cm. To correct this, QP and/or PR should be increased to represent possible values of side lengths for QPR. [42] CB [43] 155° [44] 45º [45] ΔABF = ΔEDF [46] ΔILJ = ΔKLJ; SAA [47] [48] Yes [49] mB = 107º [50] 8; 1440º [51] 135º [52] 7 cm [53] 110º [54] 2 3 [55] 4.5 [56] y 128