1. Construct a parallelogram, given sides [math]XY[/math] and [math]YZ[/math] and angle [math]XYZ[/math].

2. Construct a line parallel to [math]QT[/math] and through point [math]R[/math].

3. Given segment [math]AB[/math], show all points [math]C[/math] such that triangle ABC is an isosceles triangle.

4. Given segment [math]AB[/math], show all possible places point [math]C[/math] could be placed so that triangle [math]ABC[/math] is a right triangle. (Hint: Consider the right angle of the triangle at any of the three vertices)

5. Construct an equilateral triangle inscribed inside the circle.