Question

What additional information is needed to apply the specified congruence postulate?

1) The lengths of the corresponding sides of the two triangles
2) The measures of the corresponding angles of the two triangles
3) The congruence of one pair of corresponding sides and the congruence of one pair of corresponding angles of the two triangles
4) The congruence of all corresponding sides and angles of the two triangles

Answer 1

The additional information needed to apply the specified congruence postulate is the congruence of all corresponding sides and angles of the two triangles.

Step-by-step explanation:

The additional information needed to apply the specified congruence postulate is the congruence of all corresponding sides and angles of the two triangles. This means that we need to have both the lengths of the corresponding sides and the measures of the corresponding angles to determine if the triangles are congruent.

For example, if we know that the lengths of the corresponding sides of two triangles are equal and the measures of the corresponding angles are equal, we can apply the Side-Angle-Side (SAS) congruence postulate to conclude that the triangles are congruent.

On the other hand, if we only have the congruence of one pair of corresponding sides and the congruence of one pair of corresponding angles of the two triangles, we cannot determine if the triangles are congruent. Additional information is needed to make a conclusion.