## Congruent Triangle Theorem and also Postulates

Congruent Triangle Theorem and also 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 sassist to be congruent if they have very same shape and also same size. When triangles are congruent matching sides (sides in exact same position) and corresponding angles (angles in same position) are congruent (equal).

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There are two theorems and three postulates that are supplied to identify congruent triangles.

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

As per this theorem the two triangles are congruent if two angles and a side not between these 2 angles of one triangle are congruent to two equivalent angles and also the corresponding side not between the angles of the various other triangle.

Example:

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

If the hypotenusage and also among the legs (sides) of a right triangle are congruent to hypotenusage and corresponding leg of the various other best triangle, the two triangles are said to be congruent.

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

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

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

According to this postulate the 2 triangles are said to be congruent if two angles and also the side in between these two angles of one triangle are congruent to equivalent angles and the consisted of side (side between two angles) of the various other triangle.

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

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

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