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

• Prove KLM = NLM

K

L

N

M

Prove Triangles Congruent by SSS

4

6

88 8

6

Prove Triangles Congruent by SSS

• Show how you know LMA = LOA

L

M

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.