Use the principle of superpositinn to explain why two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.

Respuesta :

Angle is mistaken because triangles of two pairs of congruent sides and one pair of congruent angles do not always satisfy the SAS criterion.

What do we mean by the congruency of a triangle?

  • If all three corresponding sides are equal as well as all three corresponding angles are equal in measure, two triangles are said to be congruent.
  • These triangles can be moved, rotated, flipped, and turned to look exactly the same.
  • They coincide if they are repositioned.
  • Two triangles are congruent if they satisfy the five congruence conditions.
  • There are five of them: side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), and right angle-hypotenuse-side (RHS).

In the given situation:

  • Angle is incorrect because triangles with two congruent sides and one congruent angle do not always satisfy the SAS criterion.

Therefore, the angle is mistaken because triangles of two pairs of congruent sides and one pair of congruent angles do not always satisfy the SAS criterion.

Know more about the congruency of a triangle here:

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