Practice with Concurrence
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Answer the following questions dealing with concurrence.

1.

Is it possible to locate the incenter
of every triangle?

Choose:

yes  
no

 

 

2.


Is it possible to inscribe a circle in any shaped quadrilateral?

Choose:

yes
no

 

 

 

3.

The circumcenter of an acute triangle is located inside the triangle.  The circumcenter of an obtuse triangle is located outside the triangle.  Where is the circumcenter of a right triangle located in relation to the triangle?

Choose:

inside the triangle
on the triangle
outside the triangle

Explanation

 

 

4.

Scalene triangle ABC is shown below.  The distance from the centroid of a triangle to the circumcenter is 8 units.  How far is the centroid from the orthocenter?

Choose:

4 units
8 units
10 units
16 units

 

 

 

5.

The centroid of a triangle is the intersection
of the ________________.

Choose:

medians
angle bisectors
perpendicular bisectors
altitudes

 

 

6.

You are looking at a triangle where the orthocenter, the centroid and the circumcenter are all the same point.  What type of triangle are you looking at?

Choose:

scalene
isosceles
equilateral
right