Learners see application of construction techniques in a short but sophisticated problem. Combining the properties of inscribed triangles with tangent lines and radii makes a nice bridge between units, a way of using...

Triangle centers and the segments that create them easily become an exercise in memorization, without the help of engaging applications like this lesson. Here the class investigates the measure of center that is equidistant to the three...

A lune of a circle is defined and a problem of finding the area of two lunes is given.

An area problem involving finding the area of a rectangle and a circle. The problem may be made into a general proof as well.

A realistic world problem using the knowledge of chords and the parts of a circle to solve. Test your knowledge on this brain teaser!

This is a "three star" geometry problem where prior knowledge of circles and triangles is recommended to solve this circle in the corner problem.

A "three star geometry problem" - requiring the knowledge of biconditional statements and how to prove such problems.

This is a proof problem, considered a "three star" geometry problem requiring knowledge of proofs and properties of circles to solve this equal area of inscribed polygons problem.

An annulus of a circle is defined and then a proof like problem is posed involving area and radius of circles.

This is a "three star" geometry problem where prior knowledge of problem solving and thinking through proofs is recommended to solve this trapezoid inscribed in a semicircle problem.

This a straightforward, but interesting, project in geometry. It is a good first proof to try on your own. You should be able to figure it out by yourself, and you'll gain insight into a basic property of circles.

A "three star" geometry problem where some experience of math problem solving skills and knowledge of circles is recommended to solve this lunes (parts of a circles) area problem

This is a proof problem, considered a "three star" geometry problem requiring knowledge of proofs and properties of circles to solve this problem with cables in duct problem.

This is a "three star" geometry problem requiring knowledge of proofs and properties of circles. Students will use the given definition of radical axis and prior knowledges to prove a way to find a radical axis.