Question

Kacie is constructing the inscribed circle for △MNP . She constructed the angle bisectors of angle M and angle N and labeled the intersection of the bisectors as point A. Which construction is a correct next step for Kacie?

Answer 1

You will have to create a perpendicular bisector of AM.

Hope this helps :)

Answer 2

Construct the perpendicular bisector of AM.

Explanation:

The given options are:

Open the compass to the width of AP¯ and draw a circle centered at point A.

Construct the line that passes through point A and is perpendicular to NP¯.

Open the compass to the width of AM¯ and draw a circle centered at point A.

Construct the perpendicular bisector of AM¯

------------------------------------------------------------------------------------------------

The correct answer is : option D.

------------------------------------------------------------------------------------------------

After bisecting angles and marking the incenter, we construct a perpendicular from the center point to one side of the triangle.

After this we place the compass on the center point while adjusting its length to the point where the perpendicular crosses the triangle. Finally, we draw the inscribed circle.