inl xm Review hpter 1 6 & hpter 9 Nme 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,, H M bisects. ind m. Sketch figure to help nswer the question. ) m = (2x + 6)º nd m = (x 12)º Use the digrm to identify ech ngle pir s liner pir, verticl ngles, or neither. ) nd ) 10 nd 9 6) 6 nd 6 9 10 Use the digrm to find the following. ) ind y if m = (y + 10)º nd m 2 = (2y 10)º. ) ind x if m 2 = (x + )º nd m = (x 2)º. 2 1 Solve for the vrible using the given informtion. Given: GM = 22 9) x 10) ind G. G x + 2x 9 M 11) ind M. Given M the midpoint of, find the other endpoint. 12) (0, ), M(, 0)
Use the digrm to complete the sttement with corresponding, lternte interior, lternte exterior, consecutive interior, liner pir, or verticl. _ 1) nd 6 re ngles. _ 1) nd 6 re ngles. 1) 2 nd re ngles. 16) 1 nd re ngles. 1 2 6 Use the digrm to stte whether the given ngles re supplementry, congruent, or complementry. 1) nd 6 1) 1 nd 19) 1 nd 2 1 2 6 20) nd Use the digrm to choose the best nswer. 21) segment not prllel to H is. [] [] [] [] G 22) segment not skew to is. [] [] [] H [] G H ind the vlue of the vrible. 2) c 2) d (2c + )º (6c + 1)º 60º (d 12)º 2) x (x + 1)º (x 1)º
ind the slope of the line tht psses through the following pirs of points. 26) (, ) nd (, 2) ind the slopes of nd. ecide if they re prllel, perpendiculr, oblique, or skew. _ 2) (0, ), (, 0) nd (, 2), (0, 2) etermine whether the lines with the given equtions re prllel, perpendiculr, oblique, or skew. _ 2) y = x + nd y = x _ 29) y = 2x nd y = 1 2 x + 2 ind the eqution of ech line. _ 0) ind the eqution of the line prllel to the line y = 2 x +, pssing through (, ). _ 1) ind the eqution of the line perpendiculr to the line y = x +, pssing through the point (0, ). _ 2) Line pssing through (1, 2) nd ( 1, 2). Identify which lines, if ny, re prllel given the following. ) 12 b ) 9 ) m + m 6 = 10º 1 2 9 10 16 1 x 6 11 12 1 1 y lssify ech pir of lines by ppernce. lssify s prllel, perpendiculr, oblique, or skew. 6) ) ) 9)
Identify tringle in the figure tht fits the given description. 0) quilterl 1) isosceles but not equilterl 2) sclene ) cute ) right ) obtuse 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. 6) ) ) 9) 0) 1) ind the vlue of ech vrible. 2) ) b ) f 2º º bº 0º (2b + 10)º f 2 f 10 f + Write congruence sttement for the following tringle. ) 6) M K N º O º Y
nswer ech question. ) Given XYZ with XY YZ, find m X if m Y = 0º. ) Given XYZ with XY YZ, find m X if m Z = 0º. 9) Given XYZ with XY YZ, find m Y if m X = 0º. 60) Wht is the mesure of ech bse ngle of n isosceles tringle if its vertex ngle mesures 0º? 61) Wht is the mesure of the vertex ngle of n isosceles tringle if one of the bse ngles mesures 6º? lssify the tringle by its ngles nd by its sides. 62) ngles of 0º nd 0º 6) ngles of 0º nd 1º 6) ngles of 60º nd 0º 6) ngles of º nd 90º ind the vlue of the vrible. 66) 6) b 2b + 2 Identify the shortest side. 10 b 6) 69) 0º c d e b 10º 0º Identify the smllest ngle. f 0) 1) 1 19 26
Use the Hinge Theorem or its converse to complete the sttement with <, >, or =. 2) m m 2 ) m 1 m 2 1 ) ) b 10º º b 110º º ind the possible mesures for XY in XYZ. Stte the nswer in terms of < XY <. 6) XZ = nd YZ = 10 ) XZ = nd YZ = 11 Use the digrm shown nd the given informtion to decide in ech cse whether is perpendiculr bisector, n ngle bisector, medin, or n ltitude of. ) 9) nd 0) 1) ecide whether the figure is polygon. 2) ) ) ) Stte whether the figure is concve or convex. 6) ) ) 9)
ind the vlue of ech vrible. Lines tht pper to be prllel re prllel. 90) 91) b 92) c 2 2 bº 6º º 2bº º cº 9º 9) e 9) f (10e + )º x + 2 9) g 96) x (6e + )º f º g 2 y + 2 x 2 9) y 9) 99) b 100) c d + bº cº d - 1 101) d º 0º Identify ech qudrilterl by its most specific nme. 102) 10) 10) 10) 106) 10) Tell whether the polygon is best described s equingulr, equilterl, regulr, or none of these. 10) 109) 110) or ech right tringle, find the missing side length to the nerest tenth.
111) 112) x x 1 9 11) y 12 y ecide whether the numbers cn represent the side lengths of tringle. If they cn, clssify the tringle s right, cute, or obtuse. 11) 6,, 10 11) 6, 2, 116) 1, 2,