## Congruent Triangle Theorem and Postulates

Congruent Triangle Theorem and Postulates https://yellowcomic.com/help/wp-content/themes/movedo/images/empty/thumbnail.jpg 150 150yellowcomic.com Academyyellowcomic.com Academyhttps://secure.gravatar.com/avatar/983a20e95a059722e4981790f518b20b?s=96&d=mm&r=gMarch 14, 2012December 2, 2014Two triangles are claimed to it is in congruent if they have same shape and also same size. Once triangles are congruent corresponding sides (sides in very same position) and also corresponding angles (angles in exact same position) space congruent (equal).

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There are two theorems and three postulates the are provided to recognize congruent triangles.

**Angle-Angle-Side theorem (AAS theorem)**

As every this theorem the two triangles space congruent if two angles and also a next not between these two angles that one triangle room congruent come two matching angles and the corresponding side not between the angles of the various other triangle.

Example:

**Hypotenuse-Leg organize (HL theorem)**

If the hypotenuse and also one of the legs (sides) that a appropriate triangle are congruent come hypotenuse and corresponding leg of the various other right triangle, the two triangles are said to it is in congruent.

**Side-Side-Side Postulate (SSS postulate)**

If all 3 sides that a triangle are congruent to matching three sides of various other triangle then the 2 triangles space congruent.

**Angle-Side-Angle Postulate (ASA postulate)**

According come this postulate the two triangles are said to it is in congruent if two angles and the side between these two angles of one triangle are congruent to equivalent angles and also the included side (side in between two angles) of the other triangle.

**Side-Angle-Side Postulate (SAS postulate)**

If 2 sides and also the included angle (angle in between these two sides) of one triangle are congruent to the equivalent two sides and the consisted of angle that a 2nd triangle, then the two triangles are congruent.

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