Midsegments
Points of Concurrency
Inequalities
Points of Concurrency Math
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

If AE is 3x and GE is 11, find AE and x.

AE is 33 and x is 11.

100

BC = 7.2

200

Which point of concurrency is this and what type of line forms it?

Centroid formed by three medians.

200

Which of these combinations forms a triangle?


a) 3, 4, 5

b) 3, 3, 6

c) 2, 3, 5

a) 3, 4, 5
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

Which type of point of concurrency is this and which line segment forms it?

Circumcenter formed by three perpendicular bisectors.

300

What is a possible value for x? 

2 < x < 18

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 x and y.

y = 24

x = 14

400

Which type of point of concurrency is this and what type of line segment forms it?

Incenter formed by three angle bisectors.

400

Order the sides from least to greatest.

AC < BA < BC

400

Find x and y if XZ is a perpendicular bisector of WY.

x = 5

y = 4

500

Find the value of AC, DE, and AB.

AC = 8

DE = 5

AB = 6

500

Name an angle bisector, altitude, median, and perpendicular bisector from the diagram.

Angle bisector - BG

Altitude - BH

Median - BD

Perpendicular Bisector - DE


500

If the perimeter of the triangle is 40, is this triangle able to be constructed? 

No, the sides would be 20, 12, and 8 which do not form a triangle.

500

N is the circumcenter of this triangle. Find x and y. 

x = 4

y = 3

500

Find <AYB.

90

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