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?Open the compass to the width of AM¯¯¯¯¯¯ and draw a circle centered at point A.Open the compass to the width of , A M ¯ , and draw a circle centered at point , A, .Construct the perpendicular bisector of AM¯¯¯¯¯¯ .Construct the perpendicular bisector of , A M ¯ , .Open the compass to the width of AP¯¯¯¯¯ and draw a circle centered at point A.Open the compass to the width of , A P ¯ , and draw a circle centered at point , A, .Construct the line that passes through point A and is perpendicular to NP¯¯¯¯¯¯ .

Answer 1

Step-by-step explanation

From the statement, we know that:

• Kacie is constructing the inscribed circle for △MNP,

,

• she constructed the angle bisectors of angle M and angle N,

• and labelled the intersection of the bisectors as point A.

(1) Now, Kacy must construct a perpendicular from the centre point to one side of the triangle.

(2) After this, she must place the compass on the centre point while adjusting its length to the point where the perpendicular crosses the triangle.

(3) Finally, she must draw the inscribed circle.

So the answer is that Kacy must construct the perpendicular bisector of AM.

Answer

Construct the perpendicular bisector of AM