Question

construct ∠d so that ∠d≅∠c. assume ∠c has already been constructed. what is the first step to construct ∠d? a plot points c and d and draw a line through them. b draw a segment with endpoints c and d c draw a ray and label the endpoint d d plot points c and d and draw a ray through them using c or d as an endpoint what is the second step in the construction? a with the compass point on c, draw an arc that intersects the sides of ∠c. label these points of intersection a and b b with the compass point on d, draw an arc that intersects the sides of ∠c. label these points of intersection a and b c open the compass to length cd d with the compass point on c, draw an arc that intersects the construction in the previous step. label the intersection q

Explanation:

Step1: First - step of angle - construction

To construct an angle $\angle D$ congruent to $\angle C$, we first need a starting point for $\angle D$. So, we draw a ray and label the endpoint $D$. This gives us a base for constructing the new angle.

Step2: Second - step of angle - construction

The next logical step in constructing a congruent angle is to measure the opening of $\angle C$. We do this by placing the compass point on $C$ and drawing an arc that intersects the sides of $\angle C$. We label these points of intersection $A$ and $B$. This arc length will help us replicate the angle measure for $\angle D$.

Answer:

First step: C. Draw a ray and label the endpoint D
Second step: A. With the compass point on C, draw an arc that intersects the sides of $\angle C$. Label these points of intersection A and B