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This means that the triangles have the same shape and size. For example, if △ A B C △ X Y Z then all corresponding parts are congruent. So, A B ― X Y ― , B C ― Y Z ― , A C ― X Z ― , A X , B Y , C Z .
Congruence of triangles: Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical.
If all pairs of corresponding sides and all pairs of corresponding angles of two triangles are congruent, then the triangles are congruent.
Two triangles are congruent if one pair of corresponding sides and either of the two pairs of angles is equivalent to each other. The Angle sum property of triangles suggests that the sum of three angles in a triangle is 180, which is the criterion for this principle.
If all pairs of corresponding sides and all pairs of corresponding angles of two triangles are congruent, then the triangles are congruent.

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Meaning of Congruent If two figures can be placed precisely over each other, they are said to be congruent figures. If you place one slice of bread over the other, you will find that both the slices are of equal shape and size. The term congruent means exactly equal shape and size.
There are five theorems that can be used to show that two triangles are congruent. Side-Side-Side (SSS) theorem. Side-Angle-Side (SAS) theorem. Angle-Angle-Side (AAS) theorem. Angle-Side-Angle (ASA) theorem. Hypotenuse-Leg (HL) theorem.
Two triangles are congruent if: SSS: the three sides of one triangle are respectively equal to the three sides of the other. triangle, or. SAS: two sides and the included angle of one triangle are respectively equal to two. sides and the included angle of the other triangle, or.

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