r G.SRT.2 Worksheet 3 Guide When two figures are similar they have congruent angtes and proportional sides. This knowledge allows us to solve for missing corresponding values. 1. Given MBC - LEDC, determine the missing values. 5,rtnatl '?- r 2^ C= :_ , Vrq d v- 2u- = tb _ K (f U=tf (7 2. The two triangles are similar, determine the missini! values. grwrtl 7 "l Bt* !-L*' L q lE, _n t( 5-= t{ t{= q .1'1{ 3. Given MBC - MDE,determine the missing & values. e Swll L -L q B,F 1-_ w # to YlL, { @ 4. Given LBAC - LDEC, determine the missing values. /b ? zY3 .!-=- -2*il 8,3_ 9 {D 3- Y ./- -1 3 3b .; L ts +Lt t- G.SRT.2 Worksheet 3 Guide 5. 17 Given two similar triangles, determine the missing values. 6. Given MRT - AADE determine the missing vatues. (r5 .1 n-=s- -9, lol +. lnatl tl _g Ut)- f - Yt(o{o ('lfl{ l- 4o = W 7. lf the three sides of a triangle are in ratio of 3:4:5 and the perimeter thelongestside? jvlvx.l-r) = lr f,q = t{ x: ['L< ILX 8. Use the scale factor Ly 9. ty { (l'r) ?'- M Use the Pythagorean Theorem 3" *,t-=X" 4+t'. = \,> L{=x 2- l{.x\ t _t CBAD : FKLH is 3:2 L @sffi ,(t,d) L l2- 1=n tg =* L--- to help you on these. Solving for the missing vatues. 6'+ t'= c"' 36 16! =tlato > c rf)- c l "- = 1"1{ t1,\ ,l (t.zr) = { to deterrnine the missing vatues. 7w. €='@N #,^- of the triangte is 15 cm. What is the length 2- = U'zr of NAME: G.SRT.IWORKSHEET #3 1. Solve for the missing information, given that the two triangles in each question.are SIMILAR. c) b) a) 8.9 x= y= x=- y= x= y= f) d) x=- y= Y= h) s) AABC has sides of 5,6,7 AABC - ADEF ADEF has sides 9, x, y x=- y=- y= x= What is the length of 2. tf the three sides of a triangle are in ratio of 3:5:7 and the perimeter of the triangle is 12 cm. the longest side? G.SRT.2 UIORKSHEET #3 3. Use the scale factor to determine the missing'values. a) CBAD : FKLH is 3:2 b)ALMN : AUK is 1:2 y= x= y= 4. Use the Pythagorqan Tlteorem to help you on these. Solving,for"the inissing a) n5 c)AQNP : AHRT is 2:1 va lues. c) '',, Right MBC has sides of AB=8,8C=15,&AC=x F where AC is the hypotenuse N2 AABC *ADEF Right ADEF has sides DE=Z,EF=y,&DF=51 x= y= x= : .' Y= x= L- y= Nemt: (+- G.SRT.2 WORKSHEET #3 question are SIMILAR' 1. Solve for the missing information, given that the two triangles in each c) a) Y=\ 8_^Li t4"n'p- € Y @ rffi + &=+ +**,t-h *1x *= 9-L b *= =b @ 5 y= ?D Y = 7,lo d) 5n. ? lL y(zX-=8v = tvl @ tr fqyf,o> lzo "ut*3 v- v- s) AABC has sides of 5,6,7 AABC v B tY b_ = Tl = rrP lrYf Xo ADEF ADEF has sides 9, x, y 9r"- t{ = lzo ts x j>-< ee *= ?-- y= 0 zo t ++=g P g_,-,tr ,w IsP* f "" l7@ YA A.K @ q *= lo'{ 2,b- I b.t) {z b What is the length of - 2"vl Cnl 5(o.r) = Ly t 97 1'L 9q=bg =59--. ,4=P't) b *7r,+rx-h-1X tL t Yx -- t'z- T Y 2. tf the three sides of a triangle are in ratio of 3:5:7 and the perimeter of the triangle is 12 cm. the longest side? - , = !;\j 0.e) =q ,9 3. Use the scale factor to determine the missing values. b)ALMN : AUK is 1:2 a) CBAD : FKLH is 3:2 c)AQNP : AHRT is 2:1 1r^=L v2 \,VY tn, ttn---!L1P K ,N. ?\2 /- 1rt^. B i I i= -9xfl ,v ,A l-Z D7 * x T o g v14= ? @ y= ., (- y= x= 4. Use the Pythagorean Theorem to help you on these. Solving for,the rnissing values. b) a) .Rs c) Right AABC has sides of AB=8,8C=15,&AC=x F where AC t2 is the hypotenuse AABC - ADEF Right ADEF has sides DE=Z,EF=y,&DF=51 tt lV (r 3*t{ = tP s--,, x= v- *= '5. y= (, x= L- v=
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