Which of these is a necessary step in Pedro’s proof?

Which of these is a necessary step in Pedro's proof?

Answer

C

Explanation

  1. Identify the correct property to prove that $$\overline{PQ} \cong \overline{SQ}$$
  2. Recognize that the Side-Angle-Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
  3. Since Pedro is using SAS to prove the triangles congruent, he must prove that $$\overline{PQ} \cong \overline{SQ}$$ by CPCTC (Corresponding Parts of Congruent Triangles are Congruent).
  4. The correct answer is C, which states that $$\overline{PQ} \cong \overline{SQ}$$ is proven by CPCTC.