Prove Triangles Congruent by SSS

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					Prove Triangles Congruent by SSS
 Prove Triangles Congruent by SSS
• Side-Side-Side (SSS) Congruence Postulate:
 Prove Triangles Congruent by SSS
• Side-Side-Side (SSS) Congruence Postulate:
  – If three sides of one triangle are congruent to
    three sides of a second triangle, then the two
    triangles are congruent.
 Prove Triangles Congruent by SSS
• Side-Side-Side (SSS) Congruence Postulate:
  – If three sides of one triangle are congruent to
    three sides of a second triangle, then the two
    triangles are congruent.
  – In other words:
 Prove Triangles Congruent by SSS
• Side-Side-Side (SSS) Congruence Postulate:
  – If three sides of one triangle are congruent to
    three sides of a second triangle, then the two
    triangles are congruent.
  – In other words:
     • If all the sides are the same, the triangles are the same.
 Prove Triangles Congruent by SSS
• Side-Side-Side (SSS) Congruence Postulate:
  – If three sides of one triangle are congruent to
    three sides of a second triangle, then the two
    triangles are congruent.
  – In other words:
     • If all the sides are the same, the triangles are the same.
 Prove Triangles Congruent by SSS
• Given:
• KL = NL, KM = NM
                     L



           K             N



                     M

• Prove KLM = NLM
Prove Triangles Congruent by SSS


                  8        8
          8
4




      6                6
 Prove Triangles Congruent by SSS
• Show how you know LMA = LOA
                M




     L                      A




                O
 Prove Triangles Congruent by SSS
• Using the distance formula:
 Prove Triangles Congruent by SSS
• Using the distance formula:
  – With a set of points use the distance formula to
    find the length between two points.
 Prove Triangles Congruent by SSS
• Using the distance formula:
  – With a set of points use the distance formula to
    find the length between two points.
  – JKL has vertices J (-3, -2) K (0, -2) L (-3, -8)
  – RST has vertices R (10, 0) S (10, -3) T (4, 0)
 Prove Triangles Congruent by SSS
• Using the distance formula:
  – With a set of points use the distance formula to
    find the length between two points.
  – JKL has vertices J (-3, -2) K (0, -2) L (-3, -8)
  – RST has vertices R (10, 0) S (10, -3) T (4, 0)
  – Find out if the triangles are congruent.
  Prove Triangles Congruent by SSS
• Using the distance formula:
   – With a set of points use the distance formula to find the length
      between two points.
   – JKL has vertices J (-3, -2) K (0, -2) L (-3, -8)
   – RST has vertices R (10, 0) S (10, -3) T (4, 0)
   – Find out if the triangles are congruent.
 Prove Triangles Congruent by SSS
• How to construct a congruent triangle.

				
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posted:9/2/2012
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