Define that segment
Name that point of concurrency
Problems with Pythagoras
What's that measurement
Diagram - What's that segment
Unique features
100

I connect a vertex perpendicularly to the opposite side of a triangle

Altitude

100

Its the angle bisectors that find me

Incenter

100

These are needed in order to be able to use the Pythagorean Theorem

Right triangles and the measurements of 2 sides

100

CD =

5

100

Name a median

MD or DM

100

I am equidistant from the vertices of a triangle

Circumcenter

200

I form a right angle when I intersect at a midpoint of a side of a triangle

Perpendicular Bisector

200

2 Medians locate me, 3 define me

Centroid

200

What is the length of BD

13

200

P is the circumcenter of triangle ABC.  Find the value of x.

x = 11

200

Name a Midsegment

GM or MG

200

I am equidistant from the sides of a triangle

Incenter

300

I connect a vertex to the midpoint of the opposite side of a triangle

Median

300

3 altitudes intersect at me

Orthocenter

300

How far away is P from side MN?

sqrt28 or 2sqrt7

300

PD = 

24

300

Name a Perpendicular Bisector


ME or EM

300

I am 2/3 of the way from a vertex to the midpoint of the opposite side

Centroid

400

In a triangle I divide one of the vertices into 2 congruent angles

Angle Bisector

400

Its those perpendicular bisectors that pinpoint my location

Circumcenter

400

PQ = 

34

400

LN = 

16

400

Name an Angle Bisector

CF or FC

400

I am half the length and parallel to the 3rd side of a triangle

Midsegment

500

I connect the midpoints of 2 sides of a triangle

Midsegment

500

The segments that create special features but do not have a point of concurrency

Midsegments

500

What is AC =

7.5

500

The perimeter of triangle PQR =

100

500

Name an Altitude


DB or BD

500

Super hard!

These 3 points of concurrency are collinear

Centroid, Orthocenter and Circumcenter