Question

construct ∠d so that ∠d≅∠c.
what is the third - step of the construction?
a. with the same compass setting, put the compass point on c. draw an arc and label its point of intersection with the construction in the first step as r.
b. open the compass to length ab and put the compass point on d. draw an arc and label its point of intersection with the construction in the first step as r.
c. with the same compass setting, put the compass point on d. draw an arc and label its point of intersection with the construction in the first step as r.
d. open the compass to length ab and put the compass point on c. draw an arc and label its point of intersection with the construction in the first step as r.

Explanation:

Step1: Recall angle - construction steps

When constructing an angle equal to a given angle, after creating a ray for the new angle and marking points on the sides of the given angle using a compass, we measure the distance between the intersection points on the given - angle sides with the compass.

Step2: Identify the correct step

We need to open the compass to the length between the two intersection points (AB) on the sides of the given angle ∠C and then put the compass point on the vertex (D) of the new - to - be - constructed angle and draw an arc to find the point of intersection (R) with the previously constructed arc.

Answer:

B. Open the compass to length AB and put the compass point on D. Draw an arc and label its point of intersection with the construction in the first step as R.