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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 . step 2: find the midpoint, m, of by constructing the perpendicular bisector of . complete the missing information for the construction. step 3: draw a circle centered at . step 4: let the points b and c represent the points where the two circles meet. step 5: draw the segments and to create two tangent lines to the circle.

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Answer:

  1. segment ao
  2. midpoint of ao; bisector of ao
  3. center: m
  4. -
  5. segments ab, ac

Step-by-step explanation:

You want to complete the steps to draw tangents ab and ac from point a external to circle o.

Step 1:

Draw segment ao .

Step 2:

Find the midpoint, m, of ao by constructing the perpendicular bisector of ao .

The missing information for the bisector construction:

  • Using the same radius larger than ma, draw intersecting arcs centered at point a and point o on either side of segment ao.
  • Join the points of intersection of those arcs with the segment bisecting ao.
  • The point where the segments cross is point m.

Step 3:

Draw a circle centered at m with radius ma.

Step 4:

Let the points b and c represent the points where the two circles (circle m and circle o) meet.

Step 5:

Draw the segments ab and ac to create two tangent lines to the circle.

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