Victory for the ACT Exam 16e TG Sample

504 • M ATH

STUDENT TEXT, p. 184 2. In the �igure below, x =?

EXPLANATIONS

2. (J) Mathematics/Geometry/Lines and Angles CC: 7.G.B.5 CCRS: AVG.G.2 Difficulty Level = 1; Teaching Time = 3–6 minutes; Purpose = Example Tt hhei sp irteevmi oius seos sneeni tni atlhl ya tt ht he es as amme ea s choonwc et hp et sparrees et enst taet di o. nH oo wf tehvee irt, enmo t ii sc e different: y y 30 90 60 & and x y x x 180 60 180 120 & & . Aa nl tde-rgnuaet si vs e” lsyt, raapt pe gl yy.t (hFe) “aenl idm(i Gn )a tcea-n be eliminated since x ° is obviously laal rs go ebret he al inm9i n0a° t. eNdost ii cnec et ht ahte (3H0)° caanng l e idsifafperpernocxeimbaettewlyeetnhe same size as the x ° and a right angle: 3. (C) Mathematics/Geometry/Lines and Angles CC: 7.G.B.5 CCRS: BSC.G.1 Difficulty Level = 2; Teaching Time = 3–6 minutes; Purpose = Example Both w and a are little angles, so w a = , and (I) is true. Furthermore, since y is a little angle and b is a big angle, y b 180 , and (II) is true. However, since x and d are both big angles, x d 180 ! + unless both annogtltersuaer. e equal to 90. Therefore, (III) is

F. G. 9 6 0 0 H. 105 J. 120

Don’t Forget This! Tl i thtel ebai gn galnegtlhee/o r e m cWohmeens tiwn oh apnadr ayl:l e l lbi yn eastahri er di nl itneer ,s tehc et e d f(o1l)l oa lwl oi nf tghaerbei gt r u e : aa nl l gol fe st haer el i tetql euaanl ;g(l2e)s at hr ee edqe ug rael ;eamn de a(s3u) r e opfluasnyanbyigliattnlgelaengle equals 180°.

3. In the �igure below, l 0 Which of the following

1 is parallel to l must be true?

2 .

0

I. w a = II. y b 180 III. x d 180 AB .. II Ioonnl yl y C. I and II only D. I, II, and III

180

x y

Teaching Tip Of course, we’ve simpli�ied the lyt ahoneugs peu raaogl tbeeahr bnel ary et ce; a l l icanontrgerlreei ssop, r aoannnddg isl neo gs o, n rba ani gtghal eenrs g. tlBhe uas nta tnhde l si tat ml e e principles apply.