Question

construct ∠d so that ∠d≅∠c. assume ∠c has already been constructed. what is the first step to construct ∠d? a. draw a ray and label the endpoint d. b. plot points c and d and draw a ray through them using c or d as an endpoint. c. plot points c and d and draw a line through them. d. draw a segment with endpoints c and d.

Explanation:

Step1: Recall angle - construction steps

To construct an angle equal to a given angle, the first step is to draw a ray which will be one - side of the new angle.

Step2: Analyze the options

Option A: Drawing a ray and labeling the endpoint D is the first step in constructing an angle with D as the vertex. This is correct for starting the construction of ∠D.
Option B: Plotting points C and D and drawing a ray through them using C or D as an endpoint is not the first step. We are constructing ∠D and not relating C and D in this way at the start.
Option C: Drawing a line through points C and D is not relevant to the first step of constructing an angle ∠D equal to ∠C.
Option D: Drawing a segment with endpoints C and D is not the first step in constructing an angle.

Answer:

A. Draw a ray and label the endpoint D