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Explain whether there is enough information given in the figure to prove that the triangles are congruent using SSS or SAS

Explain whether there is enough information given in the figure to prove that the triangles are congruent using SSS or SAS

Answer :

No; both triangles must have three pairs of congruent angles from the Third Angles Theorem, but no side lengths are known.

In Mathematics and Euclidean Geometry, the Third Angle Theorem states that if two angles in a triangle are congruent to two (2) angles in another triangle, then, the third pair of angles must be congruent with each other.

The Side-Side-Side (SSS) congruence theorem states that triangles are congruent when the three (3) sides of a triangle is equal to the three sides of another triangle respectively.

The Side-Angle-Side (SAS) congruence theorem states that two (2) sides and the included angle of a triangle must be equal to the two (2) sides and one angle of the other triangle respectively.

In conclusion, there isn't enough information given in the figure to prove that the triangles are congruent using Side-Side-Side (SSS) congruence theorem or Side-Angle-Side (SAS) congruence theorem.

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