Other Methods of Proving Triangles Congruent

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Proving Triangles Congruent

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Presentation transcript:

Other Methods of Proving Triangles Congruent Section 4-5 Other Methods of Proving Triangles Congruent

SSS Postulate SAS Postulate ASA Postulate In Section 4-2, we learned three postulates that proved triangles congruent: SSS Postulate SAS Postulate ASA Postulate

Postulate is a statement accepted without proof. Recall: Postulate is a statement accepted without proof. Theorem is a statement that can be proved.

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

A D C B F E

The next method in proving triangles congruent only applies to right triangles!

Diagram of a Right Triangle Hypotenuse: side opposite the right angle Leg Leg

HL Theorem (Hypotenuse-Leg) If the hypotenuse and a leg of one right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.

B E C D A F