Question

select the correct answer from each drop - down menu.
point a lies outside of a circle with center o. the given steps describe the process to start constructing a line tangent to the circle and passing through point a using a compass and straightedge.
step 1: draw segment (overline{oa}).
step 2: find the midpoint, m, of (overline{oa}) by constructing the perpendicular bisector of (overline{oa}).
complete the missing information for the construction.
step 3: draw a circle centered at
step 4: let the points b and c rep circles meet.
step 5: draw the segments ab two tangent lines to the circle.
(the drop - down options are: m going through a and o; o going through a and m; a going through m and o)

Explanation:

1. For Step 3: To construct tangents from an external point A to circle O, after finding midpoint M of $\overline{OA}$, we draw a circle with center M (the midpoint) that passes through both A and O. This circle will intersect the original circle at the tangent points.
2. For Step 5: The segments connecting the external point A to the intersection points B and C of the two circles are the tangent lines to the original circle centered at O.

Answer:

Step 3: Draw a circle centered at M going through A and O
Step 4: Let the points B and C represent where the two circles meet.
Step 5: Draw the segments AB and AC (the two tangent lines to the circle).