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Published byAlexandra Butler Modified over 9 years ago
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4.3 Proving Δs are : SSS and SAS pg. 212
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Remember? As of yesterday, Δs could only be if ALL sides AND angles were NNOT ANY MORE!!!! TThere are two short cuts to add.
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Post. 19 Side-Side-Side (SSS) post If 3 sides of one Δ are to 3 sides of another Δ, then the Δs are .
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Meaning: If seg AB seg ED, seg AC seg EF & seg BC seg DF, then ΔABC ΔEDF. ___ A BC E DF
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Given: seg QR seg UT, RS TS, QS=10, US=10 Prove: ΔQRS ΔUTS Q R S T U 10
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Proof Statements Reasons 1. 1. given 2. QS=US 2. subst. prop. = 3. Seg QS seg US 3. Def of segs. 4. Δ QRS Δ UTS 4. SSS post
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Post. 20 Side-Angle-Side post. (SAS) If 2 sides and the included of one Δ are to 2 sides and the included of another Δ, then the 2 Δs are .
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If seg BC seg YX, seg AC seg ZX, and C X, then ΔABC ΔZXY. B A C X Y Z ) (
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Given: seg WX seg. XY, seg VX seg ZX, Prove: Δ VXW Δ ZXY 12 W V X Z Y
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Proof Statements Reasons 1. seg WX seg. XY 1. given seg. VX seg ZX 2. 1 2 2. vert s thm 3. Δ VXW Δ ZXY 3. SAS post
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Given: seg RS seg RQ and seg ST seg QT Prove: Δ QRT Δ SRT. Q R S T
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Proof Statements Reasons 1. Seg RS seg RQ1. Given seg ST seg QT 2. Seg RT seg RT2. Reflex prop 3. Δ QRT Δ SRT3. SSS post
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Given: seg DR seg AG and seg AR seg GR Prove: Δ DRA Δ DRG. D A R G
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Proof Statements 1.seg DR seg AG Seg AR seg GR 2. seg DR Seg DR 3. DRG & DRA are rt. s 4. DRG DRA 5. Δ DRG Δ DRA Reasons 1.Given 2.reflex. Prop of 3. lines form 4 rt. s 4. Rt. s thm 5. SAS post.
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Assignment
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