Question

construct ∠d so that ∠d≅∠c.
d. open the compass to length ab. put the compass point on a and draw another arc that intersects the arc constructed in the previous step. label the intersection t.
what is the final step of the construction?
a. draw (overrightarrow{bt})
b. draw (overrightarrow{ct})
c. draw (overrightarrow{at})
d. draw (overrightarrow{dt})

Explanation:

Step1: Recall angle - construction steps

To construct an angle congruent to a given angle, after creating arcs and finding the intersection point \(T\), we need to form the new angle.

Step2: Identify the correct ray

The new angle \(\angle D\) has a vertex. We need to draw a ray from the vertex of \(\angle D\) to the intersection point \(T\). Since we are constructing \(\angle D\), the ray should start from the vertex of \(\angle D\) (assumed to be a point where we started the construction similar to the vertex of \(\angle C\)'s construction process). The vertex of the new - constructed angle \(\angle D\) is the point from which we started the construction steps related to \(\angle D\), let's call it \(D\). So we draw \(\overrightarrow{DT}\).

Answer:

D. Draw \(\overrightarrow{DT}\)