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akposevictor

Answer:

D. <Y ≅ <B

Step-by-step explanation:

Acvording to the ASA congruence theorem, two triangles are congruent to each other if two angles and an included side of one triangle are equal to the corresponding two angles and included side of the other.

Thus, we are given that <Z ≅ <C, and side CB ≅ ZY.

To prove that both triangles are congruent, the additional information we would need is the corresponding angles of both triangles that will make each of their side lengths to be an included side.

Therefore the information that would be needed is:

<Y ≅ <B

xero099

Based on congruence rules, we conclude that condition 2) must be fulfilled to guarantee that the triangle ABC is congruent to the triangle XYZ. (Correct choice: A) #SPJ5

How to determine that two triangles are congruent

By geometry we know that triangles are figures with three sides and three angles. Two triangles are congruent if both triangles have the same organization, the same sides and the same angles. Three are three manners to demonstrate the congruency of the two triangles:

  1. The pairs of sides are congruent.
  2. Two pairs of sides and a neighboring pair of angles are congruent.
  3. Two pairs of angles and a neighboring pair of side are congruent.

Based on congruence rules, we conclude that condition 2) must be fulfilled to guarantee that the triangle ABC is congruent to the triangle XYZ. (Correct choice: A) #SPJ5

To learn more on triangle congruence, we kindly invite to check this verified question: https://brainly.com/question/7888063 #SPJ5

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