Answer:
Option A is correct.
Steps-by-step explanation:
Given the diagrams of construction of the inscribed circle of ABC. we have to select the diagram which shows the next step in the construction.
Steps of construction are:
Step 1: Bisect one of the angles of triangle ABC.
Step 2: Bisect another angle as a result we get the incenter which is the point of intersection of these two bisectors.
Step 3: Draw a perpendicular from incenter to one side of the triangle.
Step 4: Place needle on the incenter adjust its length to where the perpendicular crosses the side of triangle, and draw inscribed circle.
Here, in first figure two angle bisectors i.e step 1 and 2 are done. we have to select the next in which perpendicular from incenter to one side of the triangle is drawn.
Option A shows step 3 i.e in this figure perpendicular from incenter to one side of the triangle is drawn. Hence, option A is the next step in the construction.
