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Section 4-5

Section 4-5. Other Methods of Proving Triangles Congruent. In Section 4-2, we learned three postulates that proved triangles congruent:. SSS Postulate SAS Postulate ASA Postulate. Recall:. Postulate is a statement accepted without proof. Theorem is a statement that can be proved.

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Section 4-5

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

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

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

  4. 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.

  5. A D C B F E

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

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

  8. 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.

  9. B E C D A F

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