Victory for the ACT Exam 16e TG Sample

U NIT 4 | G EOMETRY • 523

STUDENT TEXT, p. 191 30. In the �igure below, x = ?

EXPLANATIONS

30. (H) Mathematics/Geometry/Lines and Angles CC: 7.G.B.5 CCRS: AVG.G.2 Difficulty Level = 1; Teaching Time = 3–6 minutes; Purpose = Example Since there are 180° in a straight angle, 180 = ( ) x x 90 30 120 & . T“ghuies sasntismwaetrincagn.” Sailnsocebe reached by x ° is greater than aAdridgihtitoannaglllye,, eliminate (F) and (G). x ° is only 20° or 30° bigger tThhaenr eaf or irgeh, t( Ha n) gml eu, sstobeel itmh ei ncaot rer (eJc)t. c h o i c e . Ab eg ariens, etrhveesde faolrt esri nt uaat itvi oensst ri ant we ghi ei cshs h o u l d sutsui nd ge ndtisr eacrte aupnpal bi claet ti oo ns oolfvgeetohme ei ttermy pu sr iendc oi pnl leys .a“sGauleassstt ri me saotri nt . g ” s h o u l d b e 31. (D) Mathematics/Geometry/Triangles/ Properties of Triangles CC: 6.G.A.1 CCRS: AVG.G.3 Difficulty Level = 1; Teaching Time = 3–6 minutes; Purpose = Walkthrough Tt rhi aenagnl eg laerseoapl ps oo seiqt eu aelq. uTahli ss iidsepsoosfsai b l e f o r tehqeu ag li v6e0n° .t rTi ha ne rgel ef oor ne ,l yt hi fe at lrl i at hnrgel ee ai snagnl e s e3quuni li at st el or anlgt.rTi ahnegpl ee rainmdeet ea rc ho fs itdhee itsr i a n g l e is: 3 3 3 9 . Idf eut enramb lien et ot hmeaukne kt nh oi swdne dl euncgt ti oh n, atsos u m e tahl let hd rr ea we si ni dgeiss saepepmr otxoi mb ea teeql yu aalcicnu lreant eg:t h , so the perimeter must be approximately 3 3 9 = ( ) .

F. G. 6 3 5 0 H. 120 J. 150

31. Wshhoawtnisbtehleowpe?rimeter of the triangle

A. 3 2 B. C. 6 7.5 D. 9