Question

construct ∠d so that ∠d≅∠c. what is the second step in the construction?
a. open the compass to length cd.
b. with the compass point on c, draw an arc that intersects the construction in the previous step. label the intersection q.
c. with the compass point on c, draw an arc that intersects the sides of ∠c. label these points of intersection a and b.
d. with the compass point on d, draw an arc that intersects the sides of ∠c. label these points of intersection a and b.

Explanation:

Step1: Recall angle - construction steps

To construct an angle equal to a given angle ($\angle C$), first we usually start with some basic steps related to the given angle $\angle C$.

Step2: Analyze the first step

The first step in constructing an angle equal to a given angle is often to work with the given angle $\angle C$ using a compass.

Step3: Identify the second - step

The second step in constructing an angle $\angle D$ equal to $\angle C$ is to place the compass point on $C$ and draw an arc that intersects the sides of $\angle C$. Label these points of intersection $A$ and $B$.

Answer:

C. With the compass point on C, draw an arc that intersects the sides of ∠C. Label these points of intersection A and B.