1.
Which point of concurrency is the center of gravity (or balance point) of a triangle?

Choose:
 centroid incenter orthocenter circumcenter

2.
Point O is the center of the circle circumscribing ΔABC. Point O is the intersection of the ________ of the triangle.

Choose:
 angle bisectors altitudes perpendicular bisectors of the sides medians

3.
In which triangle do the three altitudes intersect outside of the triangle?

Choose:
 acute triangle right triangle obtuse triangle equilateral triangle

4.
A point equally distant from the three sides of a triangle is the intersection of the triangle's ______.

Choose:
 altitudes medians perpendicular bisectors of the sides angle bisectors

5.
A flat, metal, triangular sculpture is to be hung in a campus cafeteria so that the triangular surface is parallel to the floor. The point from which the sculpture will balance was located by finding the intersection point of the _______ of the triangle.

Choose:
 altitudes medians angle bisectors perpendicular bisectors of the sides

6.
Fido wants to place his dog house equally spaced from a fire hydrant, his favorite tree, and the dirt mound where he buried his favorite bone, as displayed by the triangle shown at the right. In relation to this triangle, Fido should place his dog house _______.

Choose:

 at the center of an inscribed circle. at the center of a circumscribed circle. at the intersection of the triangle's medians. at the intersection of the triangle's altitudes.

7.
The three medians of a triangle intersect at a point. Which measurements could represent the segments of one of the medians in relation to the point of intersection?

Choose:
 2 cm. and 3 cm. 3 cm. and 4.5 cm. 3 cm. and 6 cm. 3 cm. and 9 cm.

8.
In a given triangle, the point of intersection of the three altitudes is the same as the point of intersection of the three medians. Which type of triangle describes the given triangle?

Choose:
 scalene triangle isosceles triangle equilateral triangle right isosceles triangle

9.
In the diagram shown at the right, the point of concurrency of the altitudes will be at ______.

Choose:
 point A point B point C point D

10.
A test question asks you to inscribe a circle inside of a triangle by construction. Which of the following choices is the first step in the construction assuming you are given the triangle?

Choose:
 bisect the angles bisect the sides construct the altitudes find the balance point