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Transcript
Geometry – 4.5 Proving Triangles Congruent – ASA , AAS
Postulate 4.3 - ASA Postulate
If __________ angles and the _____________ angle of one triangle are
_______________ to ________ angles and the ______________ side of another
triangle, then the triangles are ______________.
Angle ∠𝐴 ≅ _________
Side 𝐴𝐵 ≅ _________
Angle ∠𝐵 ≅ _________
Then ∆𝐴𝐵𝐶 ≅ ___________
Included Side:
Postulate 4.5 – AAS Postulate
If ______ angles and the ______________________ side of one triangle are
_________________ to the corresponding ________ angles and ________ of a second
triangle, then the two triangles are ___________________.
Angle ∠𝐴 ≅ ____________
Angle ∠𝐵 ≅ ___________
Side 𝐵𝐶 ≅ ____________
Then ∆𝐴𝐵𝐶 ≅ _______________
Geometry – 4.5 Proving Triangles Congruent – ASA , AAS
Example 1: Identify Congruent Triangles
Determine which postulate can be used to prove that the triangles are congruent.
a.
d.
g.
b.
c.
e.
f.
h.