Download Postulate 4.1 - SSS Postulate Included Angle: Postulate 4.2 – SAS

Geometry – 4.4 Proving Triangles Congruent – SSS , SAS
Postulate 4.1 - SSS Postulate
If __________ sides of one triangle are __________________ to ____________
sides of a _______________ triangle, then the triangles are _______________.
Side 𝐴𝐵 ≅ _________
Side 𝐵𝐶 ≅ _________
Side 𝐴𝐶 ≅ _________
Then ∆𝐴𝐵𝐶 ≅ ___________
Included Angle:
Postulate 4.2 – SAS Postulate
If____________ sides and the _________________ angle of one triangle are
__________________ to ___________ sides and the ___________________ angle of a
second triangle, then the triangles are ___________________.
Side 𝐴𝐵 ≅ ____________
Angle ∠𝐵 ≅ ___________
Side 𝐵𝐶 ≅ ____________
Then ∆𝐴𝐵𝐶 ≅ _______________
Geometry – 4.4 Proving Triangles Congruent – SSS , SAS
Example 1: Identify Congruent Triangles
Determine which postulate can be used to prove that the triangles are congruent. Also, name the
congruent sides and angles if any.
a.
b.
c.
d.
e.
f.
Geometry – 4.4 Proving Triangles Congruent – SSS , SAS
Example 2: SSS on a Coordinate Plane
a. Triangle ABC has vertices A(1, 1), B(0, 3), and C(2, 5). Triangle EFG has vertices E(1, -1), F(2, -5)
and G(4, -4). Determine if the triangles are congruent.
b. Triangle JKL has vertices J(2, 5), K(1,1), and L(5,2). Triangle NPQ has vertices N(-3,0), P(-7,1) and
Q(-4.4). Determine if the triangles are congruent.