Triangle Definitions
Triangle Inequalities
Midsegments and Medians
Theorems and Definitions
Things on the Test
100
A ray, segment, or line that divides an angle into two angles that are congruent.
What is an angle bisector?
100
The shortest side of a triangle is _______ ______ the __________ angle of the triangle.
across from smallest
100
In triangle ABC, x is the centroid. If DC = 24, find DX.
DX = 8
100
What type of triangle has NO equal sides
scalene
100
Indirect proof to: It is raining
it is not raining
200
A name for a triangle with 3 congruent ANGLES and SIDES
Equilangular Equilateral
200
Is this a triangle based on these three side lengths?
7, 17 , 24
NO!!!!!
200
Find the value of x.
x = 16
200
The Triangle Angle Sum Theorem says the sum of all angles in a triangle must be...
180 degrees
200
Which one has an Orthocenter?
Altitudes
300
The segment that connects the midpoints of two sides of the triangle.
What is the midsegment?
300
Find the measure of x:
x<26
300
The point of concurrency where the three medians of a triangle meets. This point is two-thirds of the distance to the vertex to the midpoint of the opposite side.
What is a centroid?
300
The exterior angle theorem says an exterior angle is equal to the ....
sum of the two opposite interior angles
300
If line segment DC is across from an angle that is 130 degrees and CA that is 100 degrees, determine the longest side length using hinge theorem.
Line segment DC
400
A segment, ray, line, of plane that is perpendicular to a segment at its midpoint.
What is a perpendicular bisector?
400
List the sides from least to greatest.
SR, QS, and QR.
400
In triangle ABC, x is the centroid. If AX = 11, find XE.
XE = 5.5
400
What is point G in this figure
The Centroid
400
Which angle is the smallest?
Angle B
500
A segment from a vertex to the midpoint of the opposite side.
What is a median?
500
The lengths of two sides of a triangle are given. Determine the range of value of the possible lengths of the third side.
8, 15
7 < x < 23
500
Find the value of each variable.
x = 15
y = 7
z = 13
500
Find the value of x and the length of MN.
x = 14
MN = 85
500
Which type of bisector has to cross the line at 90 degrees?
Perpendicular Bisectors