Midsegments
Points of Concurrency(images)
Point of Concurrency(Graphically)1.5x points
Points of Concurrency (Math)
angle and perp Bisectors
100
Find the value of x.
x = 14
100
Which type of point of concurrency is this and what type of line segment forms it?
Orthocenter formed by three altitudes.
100
Find the centroid of the following.
A(1,8) B(7,19) C(10,0)
(6,9)
100
GE is 11, find AE and AG
AE is 33
AG is 22
100
BC = 7.2
200
What is the definition of a midsegment and its properties
A line that goes from midpoint to midpoint and is parallel to the opposite side and half the length of the parallel side
200
Which point of concurrency is this and what type of line forms it?
Centroid formed by three medians.
200
Find the incenter.
A(-5,2), B(7,-3), C(-5,-3)
(-3,-1)
200
If G is the centroid and BF is 18 and BG is 2x, find x and BG.
BG is 12 and x is 6.
200
Find BD.
22
300
Find the value of x and y.
y = 24
x = 14
300
Which type of point of concurrency is this and which line segment forms it?
Circumcenter formed by three perpendicular bisectors.
300
Where does the orthocenter and circumcenter fall in an obtuse triangle (150)
Where does orthocenter fall on a right triangle(150) Specifically where?
Where does circumcenter fall on a right triangle(150) Specifically where?
Where does orthocenter and circumcenter fall in acute triangles(150)
Outside
On the right angle
on the midpoint of the hypotenuse
inside the triangle
300
N is the incenter of the triangle. If AK = 35, AN = 37, and NK = 10. Find x.
x = 5.
300
Find AD.
AD = 104
400
Find the value of AC, DE, and AB.
AC = 8
DE = 5
AB = 6
400
Which type of point of concurrency is this and what type of line segment forms it?
Incenter formed by three angle bisectors.
400
Find the orthocenter of the following
A(1,2)B(-5,2)C(-2,-2)
(-2,-0.25)
400
M is the centroid of the triangle. If GM is 5, find GN and NM.
GN = 15
NM = 10
400
Find x and y if XZ is a perpendicular bisector of WY. and XZ is an angle bisector of WZY
x = 5
y = 4
500
in Triangle ABC. This midpoint of AB is D and the midpoint of BC is E. If DE is
x^2+6x-5
and AC=22 find the value(s) of x
x=-8 and 2
Both work.
500
Angle bisector - BG
Altitude - BH
Median - BD
Perpendicular Bisector - DE
500
Find the circumcenter of the following
A(0,0),B(4,2),C(2,6)
Midpoints and slopes are
AB(2,1) slope:1/2
BC(3,4) slope: -2
AC(1,3) slope: -2
(1,3)
500
N is the circumcenter of this triangle. Find x and y.
x = 4
y = 3
500
Find <AYB.
90