I connect a vertex perpendicularly to the opposite side of a triangle
Altitude
Its the angle bisectors that find me
Incenter
These are needed in order to be able to use the Pythagorean Theorem
Right triangles and the measurements of 2 sides
CD =

5
Name a median

MD or DM
I am equidistant from the vertices of a triangle
Circumcenter
I form a right angle when I intersect at a midpoint of a side of a triangle
Perpendicular Bisector
2 Medians locate me, 3 define me
Centroid
What is the length of BD
13
P is the circumcenter of triangle ABC. Find the value of x.

x = 11
Name a Midsegment

GM or MG
I am equidistant from the sides of a triangle
Incenter
I connect a vertex to the midpoint of the opposite side of a triangle
Median
3 altitudes intersect at me
Orthocenter
How far away is P from side MN?

sqrt28 or 2sqrt7
PD =

24
Name a Perpendicular Bisector

ME or EM
I am 2/3 of the way from a vertex to the midpoint of the opposite side
Centroid
In a triangle I divide one of the vertices into 2 congruent angles
Angle Bisector
Its those perpendicular bisectors that pinpoint my location
Circumcenter
PQ =

34
LN =

16
Name an Angle Bisector

CF or FC
I am half the length and parallel to the 3rd side of a triangle
Midsegment
I connect the midpoints of 2 sides of a triangle
Midsegment
The segments that create special features but do not have a point of concurrency
Midsegments
What is AC =

7.5
The perimeter of triangle PQR =

100
Name an Altitude

DB or BD
Super hard!
These 3 points of concurrency are collinear
Centroid, Orthocenter and Circumcenter