Question

Abby is constructing the inscribed circle for △JKL .

Which construction could be her first step?


Construct the perpendicular bisector of JK¯¯¯¯¯ .

Construct the angle bisector of ∠J .

Construct a copy of ∠J that is adjacent to ∠K .

Construct a perpendicular to KL¯¯¯¯¯ that passes through point J.

Answer 1

Just took quiz. Correct answer is B

Answer 2

Hence, the correct answer is:

Construct the angle bisector of ∠J .

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!.

The answer that best suits the construction among the given option is:

Construct the angle bisector of ∠J.

(Since first steps of the construction will be satisfied)