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Triangle LMN has been dilated to form triangle L'M'N'. What is the least amount of information needed to determine if the two triangles are similar? (6 points)

Group of answer choices

Segments LN and L'N' are congruent, and segments MN and M'N' are congruent.

Angles M and M' are congruent, and angles N and N' are congruent.

Segment BC=B'C', segment LN=L'N', and angles M and M' are congruent.

Angle N=N', angle B=B', and segments BC and B'C' are congruent.

Respuesta :

adioabiola

The least amount of information needed to establish congruence is; Angles M and M' are congruent, and angles N and N' are congruent.

What is the least amount of information needed to determine if the two triangles are similar?

If follows from concept of congruence that two triangles are congruent only if all three angle measures are congruent or all corresponding sides are in the same ratio.

Hence, when angles M, N and M', N' are established as congruent, it follows that the measures are equal respectively.

Ultimately, the measure of angles L and L' are equal and hence, all three angles are congruent in each triangle.

Therefore, the least amount of information needed is; Angles M and M' are congruent, and angles N and N' are congruent.

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