UPSKILL MATH PLUS

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Learn moreWith superposition principle, we match the corresponding sides, vertices, and angles to know whether the two given triangles are congruent or not.

**But, is it possible to construct congruent triangles**?

Yes, it is possible construct congruent triangles with a few of the measurements known.

**The three of the measurements are**:

**1.**All three sides of the triangle known.

(or)

**2.**Any two sides and the angle between the sides known.

(or)

**3.**Any two angles and the side between the angles known.

The three common criterion to construct congruent triangles include:

Criteria | Description |

Side-Side-Side congruence criterion (SSS) | All three sides are given. |

Side-Angle-Side congruence criterion (SAS) | Any two sides and the angle between the sides are given. |

Angle-Side-Angle congruence criterion (ASA) | Any two angles and the sides between the angles given. |

Let us look at each of the criterion in detail in the upcoming sections.