Question

construct vw so that vw = 2ab. with the same compass - setting, put the compass point on the endpoint of the construction in the first step and draw an arc that intersects the ray draw another ray starting from point v (or w) through the ray in the first step. double the compass - setting, put the compass point on the endpoint of the construction in the first step, and draw an arc that intersects the ray what is the final step of the construction? a. on the new ray, starting from point a (or b) and keeping the same compass setting; draw another arc in the opposite direction as the previous arc. draw the opposite ray that intersects this new arc and label the point b (or a). b. on the new ray, starting from point v (or w) and keeping the same compass setting, draw another arc in the opposite direction as the previous arc. draw the opposite ray that intersects this new arc and label the point w (or v). c. place the compass at the intersection of the arc drawn in the previous step and the ray with endpoint a (or b). draw another arc that intersects the ray on the side of the ray opposite the endpoint. label this new intersection b (or a). d. place the compass at the intersection of the arc drawn in the previous step and the ray with endpoint v (or w). draw another arc that intersects the ray on the side of the ray opposite the endpoint. label this new intersection w (or v).

Explanation:

When constructing a line - segment VW such that VW = 2AB, after the initial arc - drawing steps, the next logical step is to continue the construction on the new ray starting from the relevant point (V or W) with the same compass setting to complete the doubling of the length. In this case, on the new ray, starting from point V (or W) and keeping the same compass setting, draw another arc in the opposite direction as the previous arc to get the other endpoint of the line - segment VW.

Answer:

B. On the new ray, starting from point V (or W) and keeping the same compass setting, draw another arc in the opposite direction as the previous arc. Draw the opposite ray that intersects this new arc and label the point W (or V)