Victory for the ACT Exam 16e TG Sample

U NIT 4 | G EOMETRY • 511

RECTANGLES AND SQUARES

STUDENT TEXT, p. 186 12. Iwf ht haet iasrtehaeopf et hr iemreetcetra?n g l e b e l o w i s 1 8 ,

EXPLANATIONS

12. (H) Mathematics/Geometry/Rectangles and Squares CC: 4.MD.A.3 CCRS: AVG.G.3 Difficulty Level = 2; Teaching Time = 5–8 minutes; Purpose = Example Twhi de tahr me auol tfi pa lri ee dc t ba ny gtlheei sl eenqgut ha l: t o t h e 18 3 & & 18 wl l l 3 18 6 = = = = . The ps iedrei ms , eo tretrwi so ewq iudat lhtsoptlhues tswu oml eonf gtthhes : f o u r . 2(3) 2(6) 6 12 18 13. (D) Mathematics/Geometry/Rectangles and Squares and Triangles/Pythagorean Theorem CC: 8.G.B.7 CCRS: AVG+.G.8 Difficulty Level = 2; Teaching Time = 5–8 minutes; Purpose = Example Triangle PSR is a right triangle with a ho fy p3 o; tt he ne ums ei s lsei nn gg tlhe go fm5uas nt dh aovnee al el eg nl ge tnhg t h of 4: a b h b b 3 5 & & 2 2 2 2 2 2 25 9 16 4 = . The area of the rbeyctthaenglelengisthe:qual to the width multiplied wl = 3 4 12 = ] g . Triangles with side lengths in the ratio 3:4:5 are very common on the exam. Awni tyht itmweo ao rf itghhets ter itahnr eg el esiisd pe rl oe vnigdtehds i n tl ehne gctohr irse tcht ep ot hs ii rt ido vnas l, ut he .eTmh ei srsei fnogr es ,i di ne t h i s item, the length of SR must be 4, and the item can be solved without using the Pythagorean theorem to �ind the missing length.

F. G. 1 9 2 H. 18 J. 24 13. In the �igure below, PQRS is a rectangle. If = PR 5 centimeters, what is the area, in square centimeters, of the rectangle? A. B. 2 3 C. 4 D. 12

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