Problem

Construct the circumcircle of acute scalene triangle \(JLM\) using sides \(JL\) and \(LM\). State the \(\text{two}~\text{construction}~\text{lines}\) and their intersection \(O\), justify \(OJ~=~OL~=~OM\), use \(\text{one}~\text{of}~\text{those}~\text{lengths}\) as the radius, and locate \(O\) relative to the triangle.

Answer choices

Choose your path.

Preview only

Construct the perpendicular bisectors of JL and LM; center the circle at their intersection and draw it through J.

Construct the angle bisectors of ∠J and ∠L; center the circle at their intersection and draw it through J.

Construct the perpendicular bisector of JL; center the circle at the midpoint of JL and draw it through J.

Connect the midpoints of JL and LM; center the circle at that segment’s midpoint and draw it through J.

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.