Triangle Constructions
MIDSEGMENTS
Construct a triangle and its orange midsegments in the space below.
CENTROID & MEDIANS
Construct a triangle with red medians. Make sure to label the Centroid and color it red.
CIRCUMCENTER & PERPENDICULAR BISECTORS
Construct a triangle inside a circle. Next, construct the triangle's perpendicular bisectors in green. Make sure to label the circumcenter and color it green.
Extra Credit: make the perpendicular bisectors line segments in green. Then, create the segments from circumcenter to vertex in black.
INCENTER & ANGLE BISECTORS
Construct a triangle with a circle inside. Construct the triangle's angle bisectors in pink. Make sure to label the incenter and color it pink. The inscribed circle is made from the perpendicular segments from the sides to the incenter.
ORTHOCENTER & ALTITUDES
Construct the triangle's altitudes in purple. Make sure to label the orthocenter and color it purple and the altitudes in purple.