Section 4-3 Proving Triangles Congruent by ASA and AAS.

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Presentation transcript:

Section 4-3 Proving Triangles Congruent by ASA and AAS

Warm-up In triangle JHK, which side is included between the given pair of angles? 1) and 2) and

Postulate 4-3 Angle-Side-Angle (ASA) If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Example 1 Developing Proof Name two triangles that are congruent by the ASA Postulate.

Real World Connection Lacrosse – Study what you are given and what you are to prove about the lacrosse goal. Given: are right angles Prove:

StatementsReasons 1) 2) 3) 4) 5)

Theorem 4-2 Angle-Angle-Side (AAS) Theorem If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, then the triangles are congruent.

Writing a proof Given: bisects Prove:

Additional Examples See Board.