(0.3 =- . NAME . DATE Practice B for use with pages 473-479 List aU pairs of congruent angles and write the statement of pro ortionality for the figures. :r~i.. " L J~L LS 7S'" 'AL:r -__ __ S-r- i-1.Jft....oow U <~~:OT~vL~~~ T K -- fJ6 L:\"~N -7,v R ~WXYZ ~ 2. b.TUV - /:),MNO JKL - /:),RST ~ fZ "N-;-ND -~ m M 0'-2.-: N 'L. v~\Y ~ '-r..J- -:=t- s , 4. IL~w\p~ 8. Find the length of NO. ~~ tl~. l1 I ;£ I II ~ r J -. S 10. Find the perimeter of oLMNO. \ a.~ . 5 ~ 5 ~ u M '!': ~4 \..\0 N 2i x0:J The two polygons are simil;j. Find the values of x and y. ~\L 13. ~ t -; !.::L (J-.f' ' 3 -;.. '( ;d.l\ 5 X 3)( "'=- \d, x:::-~ 11. Find the ratio of the perimeter of 0 RSTU to the perimeter of oLMNO. ~ ~ (;' ~QA\ E ~~ H NU ~ 4 (!>Find the measure of L U. 12. [.~ H 7. Find the scale factor of oLMNO to ORSTU. { t "'-"fc;R (§)Find the scale factor of oRSTUto 0 LMNO. K ~ i;1 G In the diagram at the right, oRSTU - oLMNO. ~ ~ ~. C E ~~~~ kD I, 'J..'/- '12- -:. W J. t. B .s,~ aJ\.R... Q)\ A 1. , !f)'f 'n~ ~~()Qb ~F G A ~{ X y \..V)( :. Decide whether the polygons are similar. If so, write a similarity statement. \ J __ ~ oDEFG x-=- \3.'S 16 12 x A_\~ \). -tt, :S. t.. y . ~ -=- \lP b~ ~ , ~ !he ratnio of or~e side Off ~ABCF' ~o 4thSe .corresPWonhdin? Sthide of ~imilar 6.. D\~~ ~ t. _ ~W W· \\ IS 3 :5. le penmeter 0 w.DE IS mc hes. at IS e peruneter 0 f \Cl.X -=- O\lw Jto bABe? X 0X\~ ~ Collyright© McDougal littaU Inc. l - - X:d~ I 0 Geometry· • All nghts reserved. 5 - ~ ,'-\~ ~5)(' "f\ Chapter a RElSClU1'Ce Book t Name _ Date _ ·"Practice B ~ For use with pages 381~87 I Use the diagram to complete the statement. A ptF2. ~= AB ~ CA EF=- D . I/:::;.ABC~_?_ B =0 -L'-8. x=-L~6\- =; 4. 12 &: y=-L C ~\ ~ ,,-\~m- 4 '-\. "-:5 Determine whether the triangles are similar. If similarity statement..4 7. ~ '" b,-z.. ~ 8 B 0 ~ F Y they are, write 8 'X. 8. J M ~ ~~f\'" ~N P K K 11. H Q 48 Geometry Chapter 6Resource Book - E Name Date l6ESS04N 1Practice B • _ continued _For use wfth pages 381-387 13. Multiple Choice In the diagram at the right, find the length of BC. A. 28 5" C. 3 B. 6 0 20 7 In Exercises 14-17. use the diagram at the right. E BB D E \~ L 17. Is l:::.AED:: !:J.EAB? L. L 22. Multiple Choice Triangles ABC and DEF are right triangles that are similar. AB and BC are the legs of the first triangle. DE and EF are the legs of the second triangle. Which ofthe following is false? A.LAsLD ~ In Exercises 23-25. use the following information. Flag Pole In order to estimate the height h of a flag pole, a 5 foot tall male student stands so that the tip ofhis shadow coincides with the tip ofthe flag pole's shadow. lIDs scenario results in two similar triangles as shown in the diagram. ~;.T';';);t;1i\~"" ~ :'1 h 23. Why are the two overlapping triangles similar? sing the similar triangles, write a proportion that models the situation. What is the height h (in feet) ofthe flag pole? Geometry Chapter 6Resource Book 49 Name Date ------------- _ Practice B ., . For use witIJ pages 388-.195 Is either I::::.J.MNor I::::.RSTslmiiar to I::::.ABCI A 626 n ~~_M __ 8 N 2. ~_.--=''--_ /' A M 5 N ~5 B L C 10 T Determ mf'W1ie er two triangles are similar. If they are similar, write a similarity statement and find the scale factor of I::::.A to I::::.B. •• L~6ru~. rvt~ • K~lt z x J 10~ L 9 H -S10 62 10 S ~ - -~ -- _V ~ \2.- Geometry Chapter 6Resourte Book ~ ;\-S Sm~\S-:;"'~ (\\ K Z Y Nor dl'llWT1 to SCllltI R " y V; ~5" f"'(\ m-::-~ Name _ LESSON IPractice B 6 S=--_. For use with pages 388-395 _--=-=-' \~ 0 Date continued +\~ C~ -LC C~ f8:\ Multiple Choke In the diagram at the right, /!.ACE - /!.DCB. Fmd 1b~ \$ 0 e,... V 13> _ A. 12 B. 18 35 c. "2 D.7" - f.-;.J.'O 30 Il\ 14 0 6 'E \0 ,\)x =-diO )(:=:.-Jg Sketch the triangles using the given description. Explain whether the two triangles can be similar. e side lengths of l::.ABC are 8,10 and 14. 10. In l::.ABC, AB The side lengths of l::.DEFare 16,20 and 26. = 15, BC = 24 and mLB = 38°. In l::.DEF,DE = 5,EF = 8 and mLE = 38°. >. t= ~ E 8t= !i§ ~ t= S S>o ::I: '0 5 '0\ ( In Exercises 11-14, use the diagram at the right to copy and complete the statement. 11. 0 13. l::.ABC~-L~COc... LDCE =-L AB=-L 14. mL CAB \~ + mLABC = --.1- \ _-0 3'5 12 ~ §'" :=; «i ~ ~ ~ @> :.:: j In exercises 15 and 16, use the following Information, Pine Tree In order to estimate the height h of a tall pine tree, a student places a mirror on the ground and stands where she can see the top ofthe tree, as shown. The student is 6 feet tall and stands 3 feet from the mirror which is 11 feet from the base of the tree. +- \) _ ~ What is the height h (in feet) of the pine tree? ~a~ 16. Another student also wants to. see the top ofthe T tree. The other student is 5.5 feet tall. If the 5S~': mirror is to remain 3 feet from the student's feet, ~f how far from the base of the tree should ~ ~*. ",,0 mirror be placed? \ ~_ "d-. Geometry Chapter 6 Resource Book - - \\ 63 f\\:\~~~ ~:?=> )( ~\£x. ~LPlo r ,f X -.;.\~ ~t ~ . ._f. DATE For us;; \il/itt pag s 4!!8--5n'5 it. Use the figure to comp;ete the proportions. lvll"'l 1t11 "} if( a b --~ ,. KL - OP 4. F;; OK Pf 0l>.1U \\\\\ N] iHN ... ' MO __ - ~. PL ~? 9. B 4-. \ J! I 'f '1 ,I "j I ID Find the value of the variable" J X - ----. -3\5 C1 ~~ 5~ -7 \0 X \d. '- X =- L.t ill -3 (iUg1ll Littell lnc. rights r3-Sef'J~ft