Question

What is the next step in completing this construction?

Answer 1

The next step in completing the construction is

Join P to cut arc on circle i.e join PJ.

Explanation:

Given the construction of tangent from the external point.

we have to tell the next step in completing the construction shown in diagram.

The step for construction are

Step 1: Draw a line joining the point to center of the circle to any external point P.

Step 2: Construct the perpendicular bisector of that line .

Step 3: Place the compass on the midpoint, adjust its length to reach the point P, and draw an arc across the circle .

Step 4: Join P to cut arc on circle i.e join PJ.

The 4 step is required step to complete the construction.

Hence, the next step in completing the construction is

Join P to cut arc on circle i.e join PJ.

Answer 2

The intent of the construction appears to be to produce tangents from point P to the circle O. There are several possible next steps:
• Name the point of intersection just created between the arc and circle O
• Draw a line (or segment) between points P and J
• Draw a line (or segment) between point P and the intersecting point just created on circle O.