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6_4notes - triangles are congruent Proving right triangles...

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Section 6.4 Congruent Triangles: ASA, AAS, and HL Proving triangles congruent In addition to the SSS and SAS Postulates, here is another postulate and two theorems that can be used to prove two triangles congruent. Angle-Side-Angle (ASA) Postulate: If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. G O A L Angle-Angle-Side (AAS) theorem: If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the
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Unformatted text preview: triangles are congruent. Proving right triangles congruent Since any pair of right triangles have one pair of congruent angles (the right angles), there is a special theorem for proving two right triangles congruent. Hypotenuse-Leg (HL) Theorem: 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. Example 3...
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