Practice Page
Directions: Read each question carefully. Choose the best answer.
1.
Which point of concurrency is the center of gravity (or balance point) of a triangle?

Choose:
centroid
incenter
orthocenter
circumcenter
think1

 

 

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
cp11

 

 

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

Choose:
acute triangle
right triangle
obtuse triangle
equilateral triangle
think2

 

 

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
think3

 

 

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
trisculpture

 

 

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:
fido2
 
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.

think4

 

 

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
think4

 

 

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
yellowtri

 

 

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
think6

 

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