Mathematical statements can be justified through deductive and inductive reasoning and proof.An included angle is an angle formed by two given sides. If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent. SSS (Side-Side-Side) SAS (Side-Angle-Side) ASA (Angle-Side-Angle) AAS (Angle-Angle-Side) RHS (Right angle-Hypotenuse-Side) What is SAS property? This congruence shortcut is known as side-side-side (SSS). If all three pairs of corresponding sides are congruent, the triangles are congruent. When two triangles are congruent, all three pairs of corresponding sides are congruent and all three pairs of corresponding angles are congruent. What is the HL Postulate? The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent. The Angle-Side-Angle Postulate (ASA) states that 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.
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