Bisectors
Special Segments
Inequalites
Centers
Vocab
100
Cuts a line segment into two congruent line segments while forming a right angle
What is the Perpendicular Bisector?
100
In DeltaPQR, NQ = 6, RK = 3, PK = 4 What is KN?
KN = 2
100
Which is the shortest side?
CA or AC
100
What type of Center is M?
INCENTER
100
What type of point is D?
INCENTER
200
Cuts an angle into two congruent angles
what is the angle bisector?
200
In DeltaPQR, NQ = 6, RK = 3, PK = 4 What is KM?
KM = 2
200
Solve for range of possible values of x.
3<x<17
200
The (blank) is the intersection of perpendicular bisectors
CIRCUMCENTER
200
The (blank) is equidistant from the vertices of a triangle.
What is the circumcenter?
300
Given that FG=HG and m angle FEH =56^circ.Find m angle GEH
m angle GEH = 28^circ
300
A segment from a vertex to the midpoint of the opposite side.
What is a median?
300
Which of the following sets of numbers could not represent the three sides of a triangle?
{15, 17, 31} {8,16,23}
{6,10,16} {6,14,17}
{6,10,16}
300
If GF=20, then BF=?
BF = 60
300
What is the name of the point x?
Centroid
400
Given that XY =ZY, WX =6x-1, and XZ = 10x+10 Find ZW
ZW = 35
400
In triangle ABC, x is the centroid. If AX = 11, find XE.
XE = 5.5
400
In Triangle RST m\angleR=10^@ and m\angleS=14^@ Order the side lengths from longest to shortest.
RS, TR, ST
400
What type of triangle would all points of concurrency by at the same point?
Equilateral Triangle
400
If point D is a centroid, bar(AF), bar(BG), and bar(CE) are all what types of segments?
MEDIANS
500
bar(EH) is the perpendicular bisector of DF. Find DF.
DF = 62
500
Point G is the centroid of DeltaABC Find the value of x.
CG = 3x+7 and CE = 6x
x=7
500
Write an inequality comparing bar(KP) and bar(KG)
KP>KG
500
Find the Orthocenter.
A(1,3)
B(3,9)
C(10,2)
(2.5,4.5)
500
What type of triangle is DeltaABC ?
ACUTE TRIANGLE