Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th lesson in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a formula to find...

To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...

What figure is formed by connecting the midpoints of the sides of a quadrilateral? The geometry assessment task has class members work through the process of determining the figure inscribed in a quadrilateral. Pupils use geometric...

A congruent triangles quiz challenges teenage mathematicians to complete a pair of geometric proofs. Each problem includes a picture of the triangles in question, a given set of information, and the five steps needed to finish the proof....

The problem seems simple: find the area of the equilateral triangle whose sides are each length 1. In fact, this same problem is solved in 8th grade, addressing a different Common Core standard, using the formula for area of a triangle...

Geometers explore symmetries of isosceles triangles by using rigid transformations of the plane. They complete four tasks, including congruence proofs, which illustrate the relationship between congruence and rigid transformations. The...

The task, should your class decide to take it, is to list a series of reflections that transfer a line segment from one position to another. 

What does slope have to do with lines? Pupils work with lines and determine the slope of the lines informally and with the slope formula. Groups use their knowledge to calculate the slopes of parallel and perpendicular lines. They also...

Challenge the class with inscribed circles in triangles. The assessment task requests class members use their knowledge of circles and right triangles to prove two triangles are congruent. They go on to utilize their knowledge of...

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...

Test your knowledge of coordinate geometry by taking this twenty question multiple-choice practice test. Use a graphing calculator to help with any graphing problems and check your answers at any given time throughout the test.

Find the midpoint of a segment on the coordinate plane, or find the endpoint of a segment given one point and the midpoint. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...

The online assessment exhibits knowledge of analytic geometry. The questions evaluate students on distance, midpoint, and the area of a rectangle.

In this exercise, students practice using the distance formula, which is derived from the Pythagorean Theorem, to find the distance between two points on a coodinate grid. Students receive immediate feedback and have the opportunity to...