Bisectors
Medians and Altitudes
Inequalities in One Triangle
Triangle Inequalities
Triangle Relationships
100

Where do Perpendicular bisectors start?

In the middle of the segment, not at a vertex

100

point of concurrency for altitude

Orthocenter

100

What is the exterior angle theorem? 

Measure of angle one plus measure of angle two equals the measure of angle four

100

Is 8, 1, 6 a triangle?

No

100


Line segment DF would be longer
200

Point of Concurrency

Circumcenter

200

Point of concurrency for median 

Centroid

200

 

List angles from smallest to largest

<N, <R, <Q

200

Two sides of a triangle are 22 and 7.  Can the 3rd side have a measure of 15?

No

200

Is line segment AD or DC larger?

Line segment DC

300

Where is the circumcenter for obtuse angles?

Outside the triangle

300

What special property does the centroid have?

the centroid is 2/3 of the distance from each vertex and 1/3 the distance to the middle of opposite side 

300

What is the side-angle relationship? 

The largest side of a triangle is directly opposite of the largest angle 

300

Is 3, 4, 5 a triangle?

Yes

300


<ABC 

400

Perpendicular Bisector Theorem

Any point on the perpendicular bisector is equidistant from the endpoints of the segments 

400

How is median different from perpendicular bisectors?

The median starts at the vertex and goes to the midpoint of the opposite side.  The perpendicular bisector starts and midpoint and creates a 90 degree angle. 

400

List the sides of the triangle from smallest to largest

Line segment YX, YZ, and XZ

400

What is the triangle inequality theory?

The sum of the lengths of any two sides must be greater than the remaining sides.

400

What is the converse of hinge?

 if two triangles have two congruent sides, then the triangle with the longer third side will have a larger angle opposite that third side.

500

Point of Concurrency for the angle bisectors is called....

Incenter

500

Is the centroid theorem for median, altitudes, or both

Just medians

500

Find the angles and sides from smallest to largest

Angles ∠B, ∠E, ∠D, and line segments ED, BD, BE

500

What is the largest whole number side measurement for the third side of a triangle with given sides of 18 and 24

41

500

What is the hinge theorem?

if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.