4.3 Proving Triangles are Congruent: SSS and SAS – PART 2

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## 4.3 Proving Triangles are Congruent: SSS and SAS – PART 2

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**Congruent Triangles in a Coordinate Plane**AC FH ABFG Use the SSS Congruence Postulate to show that ABCFGH. SOLUTION AC = 3 and FH= 3 AB = 5 and FG= 5**Congruent Triangles in a Coordinate Plane**d = (x2 – x1 )2+ (y2 – y1 )2 d = (x2 – x1 )2+ (y2 – y1 )2 BC = (–4 – (–7))2+ (5– 0)2 GH = (6 – 1)2+ (5– 2)2 = 32+ 52 = 52+ 32 = 34 = 34 Use the distance formula to find lengths BC and GH.**Congruent Triangles in a Coordinate Plane**BCGH BC = 34 and GH= 34 All three pairs of corresponding sides are congruent, ABCFGH by the SSS Congruence Postulate.**Congruent Triangles in a Coordinate Plane**MN DE PMFE Use the SSS Congruence Postulate to show that NMPDEF. SOLUTION MN = 4 and DE= 4 PM = 5 and FE= 5**Congruent Triangles in a Coordinate Plane**d = (x2 – x1 )2+ (y2 – y1 )2 d = (x2 – x1 )2+ (y2 – y1 )2 PN = (–1 – (– 5))2+ (6– 1)2 FD = (2 – 6)2+ (6– 1)2 = 42+ 52 = (-4)2+ 52 = 41 = 41 Use the distance formula to find lengths PN and FD.**Congruent Triangles in a Coordinate Plane**PNFD PN = 41 and FD= 41 All three pairs of corresponding sides are congruent, NMPDEF by the SSS Congruence Postulate.**SAS postulate**SSS postulate**T**C S G The vertex of the included angle is the point in common. SSS postulate SAS postulate**SSS postulate**Not enough info**SSS postulate**SAS postulate**Not Enough Info**SAS postulate**SSS postulate**Not Enough Info**SAS postulate**SAS postulate