Triangle Definitions
Triangle Inequalities
Midsegments and Medians
Theorems and Definitions
Constructions and Final jeopardy
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
What is the name of the tool we use to do constructions
Compass
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
When creating an ___________ we construct angle bisectors
Incenter
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
When creating an ___________ we construct perpendicular bisectors
Circumcenter
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
All exterior angles of a triangle add up to...
360
400
Circumcenters are constructed a) inside or b)outside of a triangle.
Incenters are constructed a) inside or b) outside of a triangle.
Circumcenters OUTSIDE
Incenters INSIDE
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
How many dimples are on a regulation golf ball?
336