Pertaining to this proof. what are the answers to these five questions? 1. what do you need to find to solve the problem? 2. what are the corresponding parts of the two triangles? 3. what word would you use to describe ? 4. what can you show about angles in the triangles that can indicate congruency? 5. what do you know about a side or sides of the triangles that can be used to show congruency?

1. To solve the problem we only need to prove that the two triangles, triangle ABC and triangle CDA, are congruent. To do this, we need to find which sides correspond to which as well as some angles that might be congruent, depending on the figure.

2. The corresponding parts of the two triangles are the pairs of sides that are congruent. Since the statement in the image tells us to prove that triangle ABC is congruent to triangle CDA, this just means that the congruent sides are the following:

AB and CD
BC and DA
AC and CA

(Basing it on the naming convention. We can also see this on the figure).

3. To describe the two triangles, we would need to use the word congruent. Congruency, in mathematics, means that two figures are equal in form. This means that two figures have equal measures in all of its sides as well as its angles.

4. To indicate congruency among the triangle's angles, we would only need to use the fact that the parallel lines AB and DC are cut by a transversal AC. Because of this, the alternate interior angles are congruent. The same can be deduced from the parallel lines AD and BC which is cut by the same transversal AC.

5. First of all, we know from the figure that there are two pairs of congruent sides. The arrowhead symbol on the figure indicates that the two sides have equal measurements. Thus, we know that AB is congruent to DC and AD is congruent to BC. Also, since AC is a common side of the triangle then we know it's congruent to itself.

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