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1 Pg #11-13, 15, 17, 18, AND Pg # 3-5, 12-15, 19, 20, 25, 27

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3

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5 Pg #6-12, 27 AND Pg #1-17

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7 Name ~~y~~-0 Date m:t.]iifu;fj - Area of Polygons, Find the area of each polygon. Show all necessary work. 1) /) ~;~ 2) '=-//.F/~ ~~~~M~l 20i n.~ 12 m 7 in. fl;;j?a ::: 7K"Zo }_;:ffo~;, t, / 3) 4) 35 em 19mm Ji~J4 ~ 1 8<~ ;J~p/z -:: /9~tZ. ::: 77;c/J j :::: ~I"""' z-- 1 ~ ~ 7() Wit t_ 5) S i~ 6) If ~ i ;It II=- i J4 6 in. -;,f.& 5 7 cm :::. j.. 7 o/' /, fo - z -;.{ Zf / :; /~At_ I [:/~"' ll 7) 8) 3m )I;.- }/z ~ i ~ l- ~ S ft 12 ft II:: i J4. - I J - J t -z /Z.. -z, M!E) 9) 10ft 10)!l=tU; ~~)I, 8ft ~ f 10 E?O/r!_J 6ft 12 em 4em,4-; i:(l, l-iz ) 1 -=--f. (/R,t.s) t = i (tr-.f 17.) f. =- {_ (1 t).t ~ i (/ ) t ;; i /t?ty ::: i ~ I;: SY.fl-~7 :;~!f'"a9

8 Find the area of the figure. Show all work. 11) ~2 ft1 T 1----Sft--1 T -- 6ft j_ 1 7 ll~p4 =- 7 )(" f' ::. Z! )1::-iblt. ::: 1-z.z =Z... 1P 1;, I ~lit :: Zl'.r 2 ;:!()/'.fz I Find the area of the shaded region. 12) 1-5 em-+-6 em ---l... 2cm ! 1 1/::: i (J/rlz) 4 ::- i (z,;-rs) r -=-1 (/u)r ::: j..s1j z, T Scm :; z,- ~he./ ~c. :=' z).../ f'tf f- 75~z-J 13) Smm ~ I 1/:J/z -,r ;-~ff~~~---- -~~~ ~ 17mm :_ :; Sb 8mm Complete the following. ~~ 7/~ :_5b-lsj ~ ~/Hint 2, 7 14) The area of a parallelogram is 54m 2. What is the measure of its base if the height of it is 6 m. 15) The area of a triangle is 54 m 2 What is the measure of its base if the height of it is 6 m. /1:: i foa 7Y= t b 6-7Y

9 16) The area of a trapezoid is is 126 m 2 What is the measure of its height if the measures of its bases are 6m and 12 m. )!~ i (P; 1- ";; ) f!zt;; f(t-1-a)a 17) The area of a trapezoid is is 9 m 2 and its height is 3 m. If one of the bases has a measure of 2 m, what is the measure of the other base? )/-== f(i 1.1-}z ) A < I Z--t -- { (;y)/z I Z ::: 9>{. 1 l' l /C/m 16. = 4 l../.2. f ~ i ( Z-1-l-z-)3.z._ I~ == ( z.r "~) 3 ~ J 3 -z -~ ~ ~-~ -).~~

10 Pg #1, 3-25 odd

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12 Pg #1, 2, 8-17, 19, 30

13 Name Date Usin Similar Trian les Tell whether the triangles are similar. Explain. 1) 2) -:r.l f't-r9o ::/s-o ;:r.j--yz::;/80?:".: rj'" "" a,,~ 11'1/'(/ ap~ "~,./ ~/~/. 3) The triangles are similar. Find the value of x. ;t 1-7'/ J- ~I:: qo %1- /11' q'tl> -11~' -;l.f" ;Y::; [?\$"0 *' IJ/1 "?~ :J;.-'r-rr/ =--/So y 1-/ab --/tf lj cj :.;'yo J?u,,4 ~ 4c/ ~~ ~ tz/"(_.,- ~~ )'p,;r d_~ 714 ~/t-~ ~.4;-,f a~.j IK'-'f k, ~/'/~, Jii~J1 r :::.?z. 4) You can use indirect measurement to estimate the height of a building. First measure your distance from the base of the building and the distance from the ground to a point on the building that you are looking at. Maintaining the same angle of sight, move back until the top of the building is in your line of sight. a) Explain why!j.abc and /:j.dbe are similar ft ~~ c ~~ )~ ~b ~~ _, ~ r7 b 1 A "C4n;rl;~. T ' ' ' ' ' ' b) What is the height of the bu ilding?

14 5) You and your friend are practicing tor a rowing competition and want to know how far it is to an island in the Indian River Lagoon. You take measurements on your side of the lagoon and make the drawing shown. a) Explain why 6.ABC and 6.DBE are similar. b) What is the distance to the island? - 9 s 6) You can use indirect measurement to estimate the height of a flag pole. First measure your distance from the base ofthe flag pole and the distance from the ground to a point on the flag pole that you are looking at. Maintaining the same angle of sight, move back until the top of the flag pole is in your line of sight. a) Explain why 6.ABC and 6.DBE are similar. 5~Hc..- 21'"';.: f...,t.r a-<- a;;: t.l,.)(_ /rr / ~ a.-< P ~/ ~r b) What is the height of the flag pole? /5. ~ 1- '(.7 -:::f/7.7 _{.;7 ~ -

15 PUZZLE TIME!!!! What Do You Call A Dandelion Floating In The Ocean? Write the Jetter of each answer in the BOX BELOW containing the exercise number. Choose the correct letter that describes the triangles. 1.~~ similar 71 B. not similar 2.~ ~1~ ~~\ C. not similar 3. ~40" A ~t({ E. not similar la. v H. not similar Answers R. B A. D T. H E. 58 D. A M. E S. G E. 18 w. 70 N. C E. F The triangles are similar. Find the value of x

16 Name ~~~~ ~/5 Date --=:::~:... :_1_7_- :_ Z:_t?t_Vtf UJiitt:l Chapter 12 - Study Guide Adjacent and Vertical Angles Name two pairs of adjacent angles and two pairs of vertical angles in the figure. 1) A''.d: L--.1 J.l J".;-.. uh K. LAlli#.;- L/&1 #t, 1/tl' he../ L ~Ill.;.. L 1-11 k L AI #t. J- I /ftr Tell whether the angles are adjacent or vertical. Then find the value of x. 3) k <:s: 3) (~-?> 0 ;1~ 4~ ve" /le-n I %:; ro ~-:::tic) 4)... 3xL, A14aJ --;v:: r->i) 5) What are the measures of the other three angles formed by ynl I =: '/! 0 Y1t '- z.. :: I! 2 i), 3 -;. ~" Complementary and Supplementary Angles For #6 & 7, tell whether the statement is always, sometimes, or never true. Explain. 6) If x andy are supplementary angles, then y is acute.?o/?14-~~ ;'-I- ~c/1,/ 4-1:-o k, rry ~.,?.,... o,;fo.f.<- 7) If x andy are complementary angles, then x is obtuse. IU ver, }{ 1.( Ct!Z-? /f.#~/ A,~ ~~~ ~~/vx. ~~s.. 8) Angle x and angle yare complementary. Angle xis supplementary to a 128 angle. What are the measures of angle x and angle y?

17 Tell whether the angles are complementary or supplementary. Then find the value of x. 9) be 0 10).~(6X+2Q). ~-- -y-<> ~.:; z 0 11) Find the values of x andy. Show all algebraic work Parallel Lines and Transversals 12) Use the figure to find the measure ofthe angle. Explain your reasoning. b) L5 ;::..9> 0 v'.e,i!g,/ ~ &J d) L2 t.z. I~ S~/~J 1- L i/ _,/ L. y b "/~~ A. 9) /v(. h UJH~ym7 /ks.. 13) Ifthe measure of L3 = 46, then the measure of L6 = Y"' 0. 14) Ifthe measure of L5 = 102, then the measure of L8 = /OZ 0. Why? 14/llc:-v/ a-n/~ are. ~f"l.e,/ () 15) If the measure of L 4 = 98, then the measure of L7 = j Z. Why?

18 /) 16) Ifthe measure of L6 = 59, then the measure of L4 = /Z/. Why? L- 6 /s ~I'~.,4 i 3 t/'-"<- h a ~/n...-k ;'4-~/rJI" a.-'/kj a-/ L3 1 '~ >~/&-~7 /-r; L '/, Triangles Classify the triangle. 17) 18) 19) e;~y,m er-'7~~ /h.f~~~ /1~ r~'""7l h.?~uh-j...4~ ~~~:r Find the value of x. Then classify the triangle. Show all work. 20) ~ ww 21) 22) '% :::-//0" 23) The measures of two supplementary angles have a ratio of 5 : 4. What is the measure of the larger angle? 5 ';t 1-' v?? ==- / t'(j?~ ::./%~ ~ ::;.zo

19 Determine whether you can construct many, one, or no triangle(s) with the given description. Explain your reasoning. 24) a triangle with a 2-inch side, a 4-inch side, and a 5-inch side {)_~ ) a scalene triangle with two 7 -centimeter sides ---~---r(/1 ----,,e ) a triangle with one angle measure of 100 and one 6-inch side.:.,11.4 "'-ro/ v Quadrilateral Classify the quadrilateral. 27) 28) 29) 31) Fill the blanks using always, sometimes, or never that would make the following statements true. 32 A square is :u:::...:c~_vr..:::.,~t!~--- a rhombus. t/ 33) A parallelogram is ~~~J rectangle. a 34) A kite is,u!... v._~r- a square. 35) A trapezoid is :.rt_e=--v _e_r a square.

20 Scale Drawings Find the missing dimension. Use the scale factor 2 : 5. 36) Model: 10 krn 3 7) Model: 5 in. Actual: Actual: 38) Model: --~-'~_A_V 39) Model:._ /,~}_frl_ Actual: 24ft Actual: 32.5 m 40) A scale drawing of a rose is 3 inches long. The actual rose is 1.5 feet long..%-~ ;,~ ~ o.r a) What is the scale of the drawing? fr 2".f'f' r r-(' r b) What is the scale factor of the drawing?..j--...:: Scale Drawings Tell whether the triangles are similar. Explain. 41) 42) ~ '--58,.-y-::.1b,1(/o.>Jc.c.c,,.,. ~~ 7 ~ f ~/"(. ~l'v~ ~ J1./7~J Ju e,.,zo/-- 7/~/%,-. 43) You are trying to find the distanced across the river. a) Explain why 6.ABC and 6.EDC are similar. 1k~.a/'C, a~ 4r ~ /"'':,-..r 0 ~ Con,!/ I/~ 7 0 A 100ft 8 E b) What is the distance across the river? ~ /oo X ~- d 7

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### 176 5 t h Fl oo r. 337 P o ly me r Ma te ri al s

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