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
4
6
8
8
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.