Question

given δabc, describe how to construct δpqr congruent to δabc using each of the following combinations. a. two sides of δabc and an angle included between these two sides. b. the three sides of δabc. c. two angles and a side included between these angles. copy bc from δabc to form pq. then copy ∠b to use for ∠p and copy ∠c to use for ∠q. draw lines for the two remaining sides, pr and qr. the intersection of two lines is the vertex r of triangle δpqr. follow the steps to construct δpqr. choose the correct answer below.

Explanation:

Step1: Analyze the construction steps

We are copying $\overline{BC}$ to form $\overline{PQ}$, $\angle B$ for $\angle P$ and $\angle C$ for $\angle Q$. Then we draw the remaining sides $\overline{PR}$ and $\overline{QR}$ and find the intersection as vertex $R$.

Step2: Match with the options

We need to find the option where side - side - angle match the construction. In option C, we can see that the side and the two angles are placed in the correct relative positions as per the construction steps.

Answer:

C.