Practice with Concurrence Topic Index | Geometry Index | Regents Exam Prep Center

Answer the following questions dealing with concurrence.

 1. Is it possible to locate the incenter of every triangle? Choose: yes   no Explanation The incenter is the intersection of the angle bisectors. It is possible to construct the incenter for every triangle.

 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

 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 Explanation The centroid is twice as close to the circumcenter as to the orthocenter.

 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

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