Warm up Are they congruent, if so, tell how. 1. 2. AAS Not congruent 3. Not congruent

2-Column Proofs Going by the facts: definitions, properties, postulates, and theorems Numbering the statements and reasons Using logical order Statements Reasons 1. 2. 3. . 1. 2. 3. .

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

Proof Statements Reasons 1. seg WX  seg. XY 1. given seg. VX  seg ZX 2. 1  2 2. 3. Δ VXW  Δ ZXY 3.

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

Proof Statements Reasons Seg RS  seg RQ 1. Given seg ST  seg QT 2. Seg RT  seg RT 2. 3. Δ QRT  Δ SRT 3.

Example Given that B  C, D  F, M is the midpoint of seg DF Prove Δ BDM  Δ CFM B C ) ) (( )) D M F