Similar Triangles PDF

Kuta Software - Infinite Geometry Name___________________________________ Similar Triangles...

Kuta Software - Infinite Geometry Name___________________________________ Similar Triangles Date________________ Period____ State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement. 1) 2) D A H 16 84 14 72 12 39 S E U 16 G F 8 C B 48 40 ∆CBA ~ ______ T ∆UTS ~ ______ 3) 4) T V 49 14 M V 28 U U T 8 L J ∆VUT ~ ______ L K ∆JKL ~ ______ 5) 6) U T 88 L B 16 K M 25 C 107 S ∆KLM ~ ______ C B ∆STU ~ ______ ©b O2O0A1N1s kKPu6tMat 2SyoUfMt7wEaqrYem PLuL8Cq.F j UASlJlY CriiggGhWtxsF arteMs5e4rSvdecd8.I 1 iMyavdGek lw6iBtBhu bIynDfDiAnbiYtoew PGveUoKmkeytPrvyu.t -1- Worksheet by Kuta Software LLC  7) 8) U F B E G 84 70 C ∆EFG ~ ______ V T 42 Q 25 R 15 30 S ∆TUV ~ ______ 9) 10) S U 18 9 76° W V 61° T F H G H 61° 21 42 G 76° ∆HGF ~ ______ F ∆FGH ~ ______ 11) 12) 143 9 E C R 91 F E 44 10 S 121 D 88 56 V D ∆FED ~ ______ 27 T U 30 ∆TUV ~ ______ ©a 02X071R1H IKAu1tCaM hS4oBf2tmwEaxrIeK FLYLHCf.x 1 4ASl6lP rrKi5g7hat1sm KrvewsNeSrXv9e8dF.u w KMxaQdpee gwxiQtkhl wIKnqfkiPnriGtGei IG1ejofmDefthr5yC.d -2- Worksheet by Kuta Software LLC  Find the missing length. The triangles in each pair are similar. 13) 14) L U ? T 28 60 35° K ? J V R K M 42 130 117 35° P L Q 33 15) 16) S 9 V 9 Q P ? 6 B ? 12 12 W 22 R T U 18 C 6 Solve for x. The triangles in each pair are similar. 17) 18) 11 x − 4 A S R 77 70 C 11 x + 11 B T D B 30 60 E F 21 D 50 C 19) 20) 64 V −4 + 4 x U 5 x + 11 88 J K 36 U W 27 72 24 S T T 96 18 L U ©N I2m0R1S1q 5KkuetSal FSWovfctowqaYrAey BLlLHCR.Z N 2ALlqlt mrUipgEhGtcsu FrIegsHemrUvOeNdN.y 4 uMVahd4eq LwRiVtMhE TIon7fOinniiRtTel fG3eao4mheqtjrJyK.3 -3- Worksheet by Kuta Software LLC  Kuta Software - Infinite Geometry Name___________________________________ Similar Triangles Date________________ Period____ State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement. 1) not similar 2) similar; SSS similarity; ∆FGH D A H 16 84 14 72 12 39 S E U 16 G F 8 C B 48 40 ∆CBA ~ ______ T ∆UTS ~ ______ 3) 4) ∆VLM similar; SAS similarity; similar; AA similarity; ∆TUV T V 49 14 M V 28 U U T 8 L J ∆VUT ~ ______ L K ∆JKL ~ ______ 5) not similar 6) not similar U T 88 L B 16 K M 25 C 107 S ∆KLM ~ ______ C B ∆STU ~ ______ ©z 12x0P1k1a PKquktUac fSVoYfxtnwHaur0eU DLlLMCX.t M dAGlGl6 JrAiPgzhstfsY urIeAsNemrNvNeld4.j p EMpa8dQef GwiiMtrhM PI6nwfoignri0tyeq tGNeAoom5ect3rLyQ.S -1- Worksheet by Kuta Software LLC  7) similar; SSS similarity; ∆QRS8) not similar U F B E G 84 70 C ∆EFG ~ ______ V T 42 Q 25 R 15 30 S ∆TUV ~ ______ 9) similar; AA similarity; ∆HTS 10) similar; SAS similarity; ∆UV S U 18 9 76° W V 61° T F H G H 61° 21 42 G 76° ∆HGF ~ ______ F ∆FGH ~ ______ 11) similar; SSS similarity; 12) ∆FRS similar; SAS similarity; ∆CDE 143 9 E C R 91 F E 44 10 S 121 D 88 56 V D ∆FED ~ ______ 27 T U 30 ∆TUV ~ ______ ©9 F2D00161P RKKuZtAag RSOovfQt5wyaaroeW 7L6LaCR.S h hA2lald LrxiDgdhat3so frCegssecrVvreZdz.u e 7MsaqdQeM 9wYiStOh2 iIInJfdiQnvi7tVeO qGre3oem7eRtqrWyI.I -2- Worksheet by Kuta Software LLC  Find the missing length. The triangles in each pair are similar. 13) 22 14) 54 L U ? T 28 60 35° K ? J V R K M 42 130 117 35° P L Q 33 15) 9 16) 11 S 9 V 9 Q P ? 6 B ? 12 12 W 22 R T U 18 C 6 Solve for x. The triangles in each pair are similar. 17) 8 18) 9 11 x − 4 A S R 77 70 C 11 x + 11 B T D B 30 60 E F 21 D 50 C 19) 7 20) 11 64 V −4 + 4 x U 5 x + 11 88 J K 36 U W 27 72 24 S T T 96 18 L U Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com ©o 42t0E1t1c OKNuKt0ae tSCoofWtywUaor8eJ YLELHCc.X L cAxlRlc arLilgAhWtSsM ArmeRsBehrovZeId3.q O qMAandcem lwji1tChJ yIpnRfiiDnciktteX 2GKebokmWentNrvyA.l -3- Worksheet by Kuta Software LLC