Problem 4
Given a regular hexagon, find the locus of points that are a given distance from its center and lie on the vertices of the hexagon.
Problem 5
Every triangle has a circumcenter, an orthocenter, a centroid, and an incenter. Which of the four points will always lie in the interior of the triangle?
Problem 6
Find the locus of points equidistant from two concentric circles and on a diameter of the larger circle.
Problem 6
Draw a sketch and write a description of each locus. The locus of the centers of all circles tangent to both of two given parallel lines
Problem 6
Construct a parallelogram, given two sides and an angle.
Problem 7
Draw a sketch and write a description of each locus. The locus of points equidistant from two given concentric circles (If the radii of the circles are 3 and \(8,\) what is the size of the locus?)
Problem 7
Construct an isosceles right triangle and its circumscribed circle.
Problem 8
Construct a rectangle, given the base and a diagonal.
Problem 9
Construct the centroid of a given triangle.
Problem 9
In what kind of triangle is the orthocenter the same point as the circumcenter?