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Geometry: Centers of Triangles Quiz

Total questions: 15

Worksheet time: 1hrs 3mins

Name
Class
Date
1.

The CENTROID is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

2.

The ORTHOCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

3.

The INCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

4.

The CIRCUMCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

5.

The figure is an example of a(n) ...

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

altitude

6.

The figure is an example of a(n) ...

a)

angle bisector

b)

altitude

c)

altitude

d)

median

7.

The figure is an example of a(n) ...

a)

altitude

b)

perpendicular bisector

c)

median

d)

angle bisector

8.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors

9.
1.  PQ  is the perpendicular bisector of MN. What is QN?
a)
7
b)
14
c)
10.5
d)
28
10.
1.  If m<LJK = 28°, what is m<MLK?
a)
56
b)
112
c)
62
d)
124
11.

G is the incenter. Find BE. If your answer is a decimal, round to the nearest tenth.

(a)  

12.

X is the centroid of the triangle. If CW = 30, find CX.

a)

20

b)

10

c)

30

d)

15

13.

X is the centroid of the triangle. If BX = 8, find BY.

a)

4

b)

8

c)

12

d)

16

14.

X is the centroid of the triangle. If ZX = 3, find AZ.

a)

3

b)

6

c)

9

d)

12

15.

Given a triangle with vertices R(-1,4), S(5,-2), and T(-1,-6). Find the orthocenter.

a)

(5 , -2)

b)

(-1, -2)

c)

(2, -1)

d)

(3, -2)