The Triangle Inequality theorem states that the sum of the lengths of any two sides of a triangle is this in relation to the length of the third side
What is the greater than?
100
If triangle ABC is congruent to triangle FDE, then these angles are congruent
What are A & F, B & D, and C & E?
100
This is located at the intersection of the angle bisectors
What is the incenter?
100
This is the perpendicular segment from a vertex to its opposite side (or the extension of the opposite side)
What is altitude?
200
A triangle where all three angles are equal
What is an equilateral triangle?
200
Why do these three measurements for side lengths not create a triangle?
4, 8, 15
What is because the sum of 4 and 8 is 12 and 12 is less than 15?
200
Congruent triangles have the same this and that
What are size and shape?
200
This is located at the intersection of the perpendicular bisectors of the sides
What is the circumcenter?
200
This in a triangle is the line segment drawn from a vertex to the midpoint of its opposite side. Every triangle has three .
What is the median?
300
A triangle that has one angle that is greater than 90 degrees
What is an obtuse triangle?
300
Find the range of values for side C if side A is 5cm and side B is 7cm.
What is 2< C <12?
300
Name three of the five types of triangles that always form congruent triangles
What is SSS, SAS, ASA, AAS, and HYP-S?
300
This is located at the intersection of the medians
What is the centroid?
300
This in a triangle is a segment drawn from a vertex that cuts in half that vertex angle. Every triangle has three
What is an angle bisector?
400
This type of triangle has two sides that are equal in length and the angles opposite those sides are also equal
What is an isosceles triangle?
400
This states that 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
What is the Hinge Theorem?
400
In triangle ABC, which is congruent to triangle DEF, angle A measures 90 degrees and angle B measures 50 degrees. Therefore, angle F measures this
What is 40 degrees?
400
The orthocenter is located here
What is at the intersection of the altitudes of the triangle?
400
The altitude drawn from the vertex angle of this type of triangle can be a median as well as an angle bisector.
What is an isosceles triangle?
500
All sides and all angles are different in length and degrees
What is a scalene triangle?
500
Check whether it is possible to have a triangle with the given side lengths.
7, 9, 13
What is yes?
500
Two triangles each have angle measures of 30 degrees, 60 degrees and 90 degrees. Are they congruent?
What is maybe? (this info does not alone tell us whether or not they are congruent, but it is possible based on side measurements)
500
This is the point where three or more lines intersect in a triangle
What is the point of concurrency?
500
In this type of triangle, each leg can serve as an altitude