Question

construct ∠d so that ∠d≅∠c.
what does the final construction look like? choose the correct answer below.

Explanation:

Step1: To construct an angle congruent to another angle ($\angle D\cong\angle C$), we typically use a compass - and - straightedge construction. The standard steps involve first drawing a ray for the new angle. Then using the compass to measure the opening of the given angle $\angle C$ (by placing the compass at the vertex of $\angle C$ and marking off arcs on the two sides of $\angle C$). After that, we transfer that measurement to the new ray for $\angle D$.

Step2: Analyzing the options, option A shows the correct construction steps where we first have an arc drawn on $\angle C$ and then the same - radius arc is drawn on the ray for $\angle D$ and further intersections are made to complete the congruent - angle construction.

Answer:

A.