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

4.3 Proving Triangles are Congruent: SSS and SAS – PART 2. Congruent Triangles in a Coordinate Plane. AC  FH. AB  FG. Use the SSS Congruence Postulate to show that  ABC   FGH. S OLUTION. AC = 3 and FH = 3. AB = 5 and FG = 5. Congruent Triangles in a Coordinate Plane.

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

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  1. 4.3 Proving Triangles are Congruent: SSS and SAS – PART 2

  2. Congruent Triangles in a Coordinate Plane AC FH ABFG Use the SSS Congruence Postulate to show that ABCFGH. SOLUTION AC = 3 and FH= 3 AB = 5 and FG= 5

  3. 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.

  4. Congruent Triangles in a Coordinate Plane BCGH BC = 34 and GH= 34 All three pairs of corresponding sides are congruent, ABCFGH by the SSS Congruence Postulate.

  5. Congruent Triangles in a Coordinate Plane MN DE PMFE Use the SSS Congruence Postulate to show that NMPDEF. SOLUTION MN = 4 and DE= 4 PM = 5 and FE= 5

  6. 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.

  7. Congruent Triangles in a Coordinate Plane PNFD PN = 41 and FD= 41 All three pairs of corresponding sides are congruent, NMPDEF by the SSS Congruence Postulate.

  8. SAS  postulate SSS  postulate

  9. T C S G The vertex of the included angle is the point in common. SSS  postulate SAS  postulate

  10. SSS  postulate Not enough info

  11. SSS  postulate SAS  postulate

  12. Not Enough Info SAS  postulate

  13. SSS  postulate Not Enough Info

  14. SAS  postulate SAS  postulate

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