Presentation is loading. Please wait.

Presentation is loading. Please wait.

Proving Δs are  : SSS and SAS

Similar presentations


Presentation on theme: "Proving Δs are  : SSS and SAS"— Presentation transcript:

1 Proving Δs are  : SSS and SAS

2 Side-Side-Side (SSS)  Postulate
If 3 sides of one Δ are  to 3 sides of another Δ, then the Δs are .

3 A Meaning: ___ ___ If seg AB  seg ED, seg AC  seg EF & seg BC  seg DF, then ΔABC  ΔEDF. B C ___ E ___ ___ D ___ F

4 Given: seg QR  seg UT, RS  TS, QS=10, US=10 Prove: ΔQRS  ΔUTS

5 Proof Statements Reasons 1. 1. given 2. QS=US 2. subst. prop. =
3. Seg QS  seg US Def of  segs. 4. Δ QRS  Δ UTS SSS post

6 Side-Angle-Side Postulate (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 .

7 If seg BC  seg YX, seg AC  seg ZX, and C  X, then ΔABC  ΔZXY.
) ( C A X Z

8 Given: seg WX  seg. XY, seg VX  seg ZX, Prove: Δ VXW  Δ ZXY
1 2 Y V

9 Proof Statements Reasons 1. seg WX  seg. XY 1. given seg. VX  seg ZX
2. 1   vert s thm 3. Δ VXW  Δ ZXY SAS post

10 Given: seg RS  seg RQ and seg ST  seg QT Prove: Δ QRT  Δ SRT.

11 Proof Statements Reasons 1. Seg RS  seg RQ 1. Given seg ST  seg QT
2. Seg RT  seg RT 2. Reflex prop  3. Δ QRT  Δ SRT 3. SSS post

12 Given: seg DR  seg AG and seg AR  seg GR Prove: Δ DRA  Δ DRG.

13 Proof Statements 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 Given reflex. Prop of   lines form 4 rt. s 4. Rt. s thm 5. SAS post.


Download ppt "Proving Δs are  : SSS and SAS"

Similar presentations


Ads by Google