Final Worksheet --- no answers

Size: px

Start display at page:

Download "Final Worksheet --- no answers"

Erick Norton
5 years ago
Views:

1 Geometry (ession 1) d o20y1u6m QOuhta fofxtywpacrzep ye.o a _l[lp rsijghhvtgs irejsperyv]eqds. inal Worksheet --- no answers Name I: 1 ketch an eample of the type of triangle described. ark the triangle to indicate what information is known. If no triangle can be drawn, write "not possible." ate 1) equilateral ) 2) acute isosceles ) ) ) ) ) ) ) ind the measure of angle. 3) 4) ) 40 ) 55 ) 50 ) ) 75 ) 28 ) 34 ) 21 l2f0]16] ZWuZtbaO HGoZfXtwrareec mti.i r `NlqlZ crhig[hts Gr\e^sQearcvnetdI.J w onadwer Gwi`tNhw ginfinqiytgev RGeewoNmgewtOrys. -1- Worksheet by uta oftware

2 ind the measure of the angle indicated. 5) ind m Q. 6) ind m. Q P 47 ) 69 ) 64 ) 48 ) 111 R ) 80 ) 89 ) 49 ) 79 Write a statement that indicates that the triangles in each pair are congruent. 7) 8) Z X V ) ) ) ) Y ) XY ) YX ) YX ) YX tate what additional information is required in order to know that the triangles are congruent for the reason given. 9) H 10) J or or ) P201f6 tutead zxofztcwoakrve[ JGV. c Ilhll rni_guhqtuss drceysmerruvme\dg.q o cayddeb RwpiYtvh didn^fiwndift`eg Ggeqo\myeturmy. -2- Worksheet by uta oftware

3 ind the value of. 11) m 2 = ) m 2 = ) -7 ) -13 ) 8 ) -9 ) -7 ) 14 ) 9 ) -11 ind the missing length indicated. 13) ind 14) ind ) 17 ) 156 ) 70 ) ) 4 ) 164 ) 38 ) 180 ach figure shows a triangle with its three angle bisectors intersecting at point P. 15) ind P if = 5 and P = 6. 16) = 4 and P = 5. ind P. P ) 3.46 ) 3.32 ) 1.73 ) 3.74 ) 3.87 ) 5.83 ) 3 ) 2.65 P f 2s0q1P6t uuptya] cqoofthwadrre opxz.v p VQlYlZ r\ipghwts` RroeVsrehrHved.e e baqdke _wjitlh` linefinhiteeh kgjeoovmpertkrym. -3- Worksheet by uta oftware

4 ach figure shows a triangle with one or more of its medians. 17) ind if = -2 + and = G ) 7 ) 14 ) 3.5 ) ) ind if = and = 5-5 G ) 20 ) 40 ) 6.67 ) 60 wo sides of a triangle have the following measures. ind the range of possible measures for the third side. 19) 50, 50 ) 0 < < 97 ) 0 < < 100 ) 1 < < 99 ) 3 < < 99 20) 26, 38 ) 12 < < 64 ) 15 < < 64 ) 13 < < 63 ) 13 < < 64 Order the angles in each triangle from smallest to largest. 21) In G = 5 G = G = 5 ) ; G and ) G and ; ), G, ) G and ; 22) In = = 9 = ),, ),, ),, ),, ind the length of the base indicated for each trapezoid. 23) ind YV 24) ind W X 19 W 13 V G Y ) 68 ) 52 ) 58 ) 77 V ) 29 ) 16 ) 13 ) 21 W \ 2t0X1t6p ]QultsaZ odfqtywjajr[en NGW.G j ifll riygphltysa revs^erdvoendb.y q [waidge wni[trha kiwnkfvionzitzev mg`ebom^eotrwya. -4- Worksheet by uta oftware

5 ind the missing measurement. Round your answer to the nearest tenth. ake care to use the correct units. 25) 32 cm 9.6 cm? cm 10.7 cm rea = cm² ) 13.4 cm ) 18.3 cm ) 8.2 cm ) 14.9 cm 26)? ft in rea = ft² 24.1 ft ) 3.7 ft ) 3.7 ) 40.3 ft ) 44 ft olve for. he triangles in each pair are similar. 27) ~ J 28) ~ R R ) 29 ) 50 ) 14 ) 38 J ) 35 ) 17 ) 41 ) 45 ind the missing side lengths. eave your answers as radicals in simplest form. 29) 60 30) ) 14 ) 28 6 ) ) ) ) 42 ) 21 6 ) 56 6 j2v0o1^6w z^uwtwaz Y`ofotNwjadrZeG ibs.e k ]Hlolv GrHigh_tbs^ Jryecsheqrdvqe]dl.l z `faodeh lwiotnh_ viqnofdionpiqte igeromletcryi. -5- Worksheet by uta oftware

6 ind the value of each trigonometric ratio. 31) sin Z 32) tan Z 35 X Y ) 5 3 ) ) 4 5 ) 3 5 ) 4 5 ) 3 4 ) 3 4 ) 4 3 ind the length of the segment indicated. Round your answer to the nearest tenth if necessary. 33) 34) ) 5.8 ) 6.4 ) 11.5 ) 8.4 ) 12.3 ) 12.6 ) 10 ) 12.8 olve for. ssume that lines which appear to be tangent are tangent. 35) 36) ) 10 ) 12 ) 5.6 ) 9 ) 8 ) 3 ) 5 ) 7 r b2f0v16 tputra cohf\tgwnakrzeu ^Nhc.V lgl ryigxhltts `rzensteqr]vietdn.k b PHa\dVeg Jwpith_ qinnifiyniathew ngneioymzeutpryr. -6- Worksheet by uta oftware

7 ind the measure of the arc or angle indicated. ssume that lines which appear tangent are tangent. 37) ind m 65 J ) 170 ) 158 ) 130 ) ) ind m ) 117 ) 103 ) 163 ) 108 N 25-1 ind the measure of the line segment indicated. ssume that lines which appear tangent are tangent. 39) ind 40) ind Q 9 N ) 5 ) 8 ) 7 ) P 7 R ) 14 ) 10 ) 8 ) 18 Q y 2u0u1d6w P`uVtNa `o\ftsw_araei lg.f g ^lvlo qrrieghstgsh _rewse[rpvfefdw.o Iwadseq hw^inthw mibncfvibn^ittneh egeboomweat]rya. -7- Worksheet by uta oftware

Chapter 4 Trigonometric Functions

SECTION 4.1 Special Right Triangles and Trigonometric Ratios Chapter 4 Trigonometric Functions Section 4.1: Special Right Triangles and Trigonometric Ratios Special Right Triangles Trigonometric Ratios