2) Three noncollinear points in Plane M. [A] A, D, E [B] A, B, E [C] A, B, D [D] A, E, H [E] A, H, M [F] H, A, B
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1 Review Use the points nd lines in the digrm to identify the following. 1) Three colliner points in Plne M. [],, H [],, [],, [],, [],, M [] H,, M 2) Three noncolliner points in Plne M. [],, [],, [],, [],, H [], H, M [] H,, bisects. ind m. 3) m = (2 + )º nd m = (3 12)º Nme H M Use the digrm to mtch ech ngle pir. ) nd 8 ) nd () Liner Pir () Verticl ngles () Neither Use the digrm to find the following. ) ind y if m 3 = (y + )º nd m 2 = (2y )º. 7) ind if m 2 = (3 + 8)º nd m = ( 2)º Solve for the vrible using the given informtion. 8) ind G. GM = 22 + G 2 9 M Given M the midpoint of, find the other endpoint. 9) (0, ), M( 3, 0) ind the perimeter (circumference) of the figures described. ) Rectngle with length 3.7 cm nd height 20 cm 11) ircle with dimeter 8 ft in terms of ind the re of the figures described. 12) Tringle with height cm nd bse cm 13) Rectngle with bse 2 yd nd height 11 yd 1) ircle with dimeter 12 ft in terms of
2 Mtch the following with the correct ngle pir. 1) 3 nd 1) nd 17) 2 nd 7 18) 1 nd () orresponding () lternte Interior () lternte terior () onsecutive Interior () Liner Pir () Verticl ngles Mtch the following with the correct reltionship. 19) nd 20) 1 nd 3 21) 3 nd () omplementry () ongruent () Supplementry Use the digrm to choose the best nswer. 22) segment not prllel to H is. [] [] [] [] G 23) segment not skew to is. [] [] [] H [] G H ind the vlue of the vrible. 2) c 2) y (2c + )º (c + 1)º (0.y + 3)º yº Identify which lines, if ny, re prllel given the following. 2) 3 b 27) 1 y 28) m 1 + m 2 = 180º Identify tringle in the figure tht fits the given description. 29) equilterl ) obtuse isosceles 31) right sclene
3 ecide whether it is possible to prove tht the tringles re congruent. If it is possible, tell which congruence postulte or theorem you would use. 32) 33) 3) ind the vlue of ech vrible. 3) 3) b 37) c º º 20º bº 13 cº 38) d 12º eº 39) e dº 9º gº 0) g º 1) h 2) k (h )º (h + 1)º kº 0º nº 0º 3) n 20 ) g ) t ) z 3g 1 tº 130 º z ) 8) b 9) c 2º 3 bº 0º (2b + )º cº 2º 0) d 1) 2dº 3dº dº f f 2 3f + 2) f 18 3) ) b ) c 3 2b b c 3 c + 12
4 ) 7) b 3c + º bº c 17 70º 3dº 8º º 2dº 8) c 9) d 0) e 1) m (e + 7)º (e + )º 3f º p mº ) p 3) w 23 q 19 3 ) w ) q nswer ech question. ) Given XYZ with XY YZ, find m Y if m X = 0º. 7) Wht is the mesure of ech bse ngle of n isosceles tringle if its verte ngle mesures 30º? 8) Wht is the mesure of the verte ngle of n isosceles tringle if one of the bse ngles mesures º? Identify the shortest side. 9) 70) b Identify the smllest ngle. 0º c 3 ind the possible mesures for XY in XYZ. Stte the nswer in terms of < XY <. 71) XZ = 8 nd YZ = Use the digrm shown nd the given informtion to mtch in ech cse how is used in 72) () ltitude. 73) 7) 7) nd () ngle bisector () Medin () Perpendiculr bisector () None of these
5 ecide whether the figure is polygon. Write yes or no. 7) 77) 78) Solve the following. Round to the nerest tenth. 79) ind the geometric men between 13 nd 2 80) ind if 7 is the geometric men between nd 12. Solve ech proportion. Round to the nerest tenth. 81) The rtio of two side lengths of the tringle is given. Solve for the vrible. 82) ind e if : : is 3 : : ) ind the perimeter of the tringle. e + 3 Solve using proportions. Lines tht pper prllel re prllel. 8) The mesures of the ngles in tringle re in the etended rtio of 2 : : 8. ind the mesure of the lrgest ngle. e + 1 8) c 8) d 1 c 1 d ) 2 or ech right tringle, find the missing side length to the nerest tenth. 88) 1 89) b ind the vlue of ech vrible in the specil right tringles. Write nswers in simplest rdicl form. 90) 91) b b w 92) w 93) 30º º ecide whether the numbers cn represent the side lengths of tringle. If they cn, clssify the tringle s right, cute, or obtuse. If no tringle cn be formed, write none. 9), 8, 9), 2, 9)., 3.8, b 17
6 etermine the trigonometric rtios ccurte to four deciml plces. 97) sin 3º ind the mesure of ech ngle to the nerest degree. 98) cos Y = Solve for. Round ech nswer to the nerest tenth. 99) sin 0º = 0 0) tn 30º = 19 Solve for the vrible using trig rtios. Round segment lengths to the nerest tenth. 1) 2) c 3º c 2º 23 Solve for the vrible using trig rtios. Round ngle mesures to the nerest whole number. 3) ) y 3 º yº ind the slopes of nd. ecide if they re prllel, perpendiculr, oblique, or skew. ) (0, 3), (3, 0) nd (, 2), (0, 2) ) (0, 0), (1, 2) nd (3, 0), (1, 3) etermine whether the lines with the given equtions re prllel, perpendiculr, oblique, or skew. 7) y = + 7 nd y = 7 8) y = 2 3 nd y = lssify the tringle by its ngles nd by its sides. 9) ngles of 80º nd 0º 1) ngles of º nd 90º Write congruence sttement for the following tringle. 111) #1 M º N K º Y Stte whether the figure is concve or conve. 112) 113) 11)
7 Identify ech qudrilterl by its most specific nme. 11) 11) 117) 118) 119) 120) Tell whether the polygon is best described s equingulr, equilterl, regulr, or none of these. 121) 122) 123) Using the digrm below, mtch the nottion with the term tht best described it. 12) hord 12) Tngent () () 12) Rdius () G 127) imeter () 128) Secnt () 129) entrl ngle 130) Inscribed ngle 131) Semicircle H G () HG (G) (H) 132) Mjor rc (I) 133) Minor rc (J) (K) (L)
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