You say that perpendicular bisectors intersect at a point? I concur! Learners investigate points of concurrencies, specifically, circumcenters and incenters, by constructing perpendicular and angle bisectors of various triangles.

Your geometry learners will discover and show the construction of the circumcenter of a triangle. Guided by the steps in the activity, they construct perpendicular bisectors of each side that have a point of concurrency called the...

In this geometry worksheet, 10th graders solve a  problem involving the possible lengths for the third side of a triangle given two sides and determine where the point of concurrency lies in relation to the triangle. The one page...

Prove theorems through an analysis. Learners find the midpoint of each side of a triangle, draw the medians, and find the centroid. They then examine the location of the centroid on each median discovering there is a 1:2 relationship....

Geometers employ a straight edge and compass to duplicate and bisect segments and angles, construct perpendiculars, parallel lines, figures, and circles with points of concurrency. Ample practice with 65 questions across 8 worksheets. No...

Students explore the concept of concurrent lines in triangles. In this concurrent lines in triangles instructional activity, students work in groups to investigate properties of concurrent lines in acute, right, and obtuse triangles....

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

In this geometry worksheet, 10th graders solve problems involving the perpendicular bisectors and angle bisectors of a triangle and their points of concurrency.  The one page worksheet contains sixteen questions.  Answers...

Students investigate geo-profiling.  In this secondary mathematics instructional activity, students use geo-profiling to determine the most probable location of a criminal.  Students find the centroid of a polygon where the...

In this geometry worksheet, 10th graders review the vocabulary associated with the special segments of a triangle and the associated points of concurrency and solve problems in which they find the indicated missing angle or...

Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...

Medians, midsegments, altitudes, oh my! Pupils study the properties of the median of a triangle, initially examining a proof utilizing midsegments to determine the length ratio of a median. They then use the information to find missing...

Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...

In this concurrence worksheet, 10th graders solve 10 different problems related to determining various concurrences. First, they determine which type of triangle has two altitudes outside of it. Then, students determine the distance...

Students identify the special segments of triangles, the median, angle bisector, altitude, and perpendicular bisectors.

Students discover the centroid of a triangle based on Euclid's constructions. They explore locus of points of a median. They understand properties of the segments that form the median and areas of the smaller sections formed by the median.

Students model and solve a real-world problem by constructing the centroid of a triangle. They explore relationships of the medians of a triangle and investigate how the centroid partitions each of the medians. Students investigate...

This amazingly extensive unit covers a wealth of geometric ground, ranging from constructions to angle properties, triangle theorems, rigid transformations, and fundamentals of formal proofs.  Each of the almost-forty lessons...

Tenth graders find the incenter of a triangle. In this geometry lesson, 10th graders define the way to create an incenter with an angle bisector. They differentiate between incenter and incircle.

In this vocabulary worksheet, students match a given vocabulary word to the correct definition.  Words include such terms as altitude, centroid, circumcenter, circumscribed circle, inscribed circle, median and...

In this concurrent circles using GeoGebra instructional activity, students solve 2 short answer problems. Students construct concurrent circles using the GeoGebra software and determine why their construction of circles are concurrent....

In this geometry worksheet, students construct angles and identify medians and altitudes. They use a compass and protractor to perform heir construction. There are 28 questions.

Students explore the Civil War. In this American History lesson, students use guiding questions and primary resources to better comprehend the events of the Civil War. This lesson actually includes 3 complete lessons that cover, North v....

Students use problem solving skills, formal geometry, and The Geometer?s Sketchpad. They model and solve two real-world problems by constructing the in center and circumcenter of triangles.