Question

Carly is constructing the inscribed circle for △MNP . She has already used her compass and straightedge to complete the part of the construction shown in the figure.

What could be her next step?


Use the straightedge to draw the line through points J and K.

Use the straightedge to draw the line through points J and P.

Place the point of the compass on point M and draw an arc that passes through points N and P.

Place the point of the compass on point J and draw an arc in the interior of the triangle.

Answer 1

Place the point of the compass on point J and draw an arc in the interior of the triangle.

Answer 2

Option: D is the correct answer.

( Place the point of the compass on point J and draw an arc in the interior of the triangle )

Explanation:

" The steps for the construction of inscribed circle are:

• Bisect one of the angles
• Bisect another angle
• Where they cross is the center of the inscribed circle, called the incenter
• Construct a perpendicular from the center point to one side of the triangle
• Place compass on the center point, adjust its length to where the perpendicular crosses the triangle, and draw your inscribed circle "

Hence here we are given a arc cutting MN at J and NP at K.

Hence the next step will be we have to place a point of the compass at point J and draw an arc in the interior of the triangle.

similar we have to do for point K and hence the intersection point by these two arc will be the angle bisector of N.

Hence, Option: D is the correct answer.

Place the point of the compass on point J and draw an arc in the interior of the triangle.