Drag each tile to the correct box.

An island is approximately in the shape of a triangle, as shown. A hospitality company wants to build a hotel on the island so it is equidistant from the three coasts of the island. To determine the location, H, of the hotel, a surveyor writes the steps for constructing a circle with center H inscribed in triangle JKL.

The figure shows an inscribed circle of a triangle LJK with center H.
The following steps for constructing a circle with center H inscribed in triangle JKL are listed out of order. Arrange the steps in the correct sequence.

A. Set the compass length to HM.

B. Label the point of intersection of the bisectors point H.

C. Draw a circle with the fixed end of the compass on point H.

D. Construct the angle bisectors of angle JKL and angle LJK.

E. Construct a segment HM that intersects side JK perpendicularly at point M.

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D. Construct the angle bisectors of angle JKL and angle LJK.

E. Construct a segment HM that intersects side JK perpendicularly at point M.

A. Set the compass length to HM.

C. Draw a circle with the fixed end of the compass on point H.

B. Label the point of intersection of the bisectors point H.
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