Question

select the correct answer. to copy an angle using only a compass and a straightedge, begin by marking the vertex of the new angle. then draw a ray from the vertex, which will be one of the legs of the new angle. what is the next step in the construction? a. set the compass width to the vertex of the angle, place the compass needle at any point on the leg of the new angle, and make an arc in the angles interior. b. set the compass to a sufficient width, place the compass needle on one leg of the original angle, and draw an arc on the other leg of the angle. c. set the compass to a convenient width, place the compass needle on one of the legs of the original angle, and draw an arc on the leg of the new angle. d. set the compass to a convenient width, and draw an arc that is centered at the vertex of the original angle and intersects both legs of the original angle.

Explanation:

To copy an angle using a compass and straight - edge, after marking the vertex and one leg of the new angle, we first set the compass to a convenient width and draw an arc centered at the vertex of the original angle that intersects both legs of the original angle. This creates a reference for the angle's measure which will be used to construct the copy. The other options do not follow the correct sequence of steps for angle - copying construction.

Answer:

D. Set the compass to a convenient width, and draw an arc that is centered at the vertex of the original angle and intersects both legs of the original angle