A blue flagpole is erected near a drilling site. Lines are drilled perpendicular to the flagpole guy wires and meet at the bottom of the orange drilling pipe. What is the ratio of distances green to red?
Tangent lines QC and EC meet at C. A point D on QC has DC=1 and QD=2. The line ED intersects the circle at G, and the line HGI is parallel to QDC. What is HG/GI?
If X is the midpoint of the segment connecting the centers of the upper and lower arcs, and JK is perpendicular to XH, then show that H is the midpoint of JK.
A is the center of a unit circle. What is the distance AG if the distance AC = x?
Three circles and a triangle. What is red : green?
A triangle with its incircle. What’s a : b : c?
A regular hexagon and two equals angles. What is blue : green : red?
An equilateral triangle with a circle through one vertex, and the intersections FIHJ of the extended sides with the circle. Lengths of three of the external segments are indicated. What is the fourth length?
A circle with several line segments. The red one is tangent. What’s red : green?
A square with its diagonal. Prove that the three red points are collinear.