91Ó°ÊÓ

Is the incenter always located in the interior of the triangle?

Find the number of sides for a regular polygon in which the measure of each interior angle is \(60^{\circ}\) greater than the measure of each central angle.

Sketch and describe the locus of points in space. Find the locus of points that are equidistant from two fixed points.

Find the length of the radius of the inscribed circle for a right triangle whose legs measure 6 and 8 .

Sketch and describe the locus of points in space. Find the locus of points that are at a distance of \(2 \mathrm{cm}\) from a sphere whose radius is \(5 \mathrm{cm}\).

Sketch and describe the locus of points in space. Find the locus of points that are equidistant from all points on the surface of a sphere with center point \(Q .\)

Does a rectangle have (a) an incenter? (b) a circumcenter?

Does a rhombus have (a) an incenter? (b) a circumcenter?