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Parallelograms & Centers of Triangles

Total questions: 20

Worksheet time: 33mins

Name
Class
Date
1.
The opposite sides of a parallelogram are...
a)
congruent
b)
perpendicular
c)
skew
d)
supplementary
2.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
3.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
1
c)
5
d)
2
4.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
5.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
8
c)
2
d)
6
6.
If ABCD is a parallelogram, what is the length of BD? 
a)
10
b)
11
c)
7
d)
5
7.
The figure is a parallelogram.  
Solve for x.  Hint: What can you do to FU to make it equal to WU? Then write and equation and solve
a)
9
b)
4
c)
8
d)
2
8.
The centroid cuts each median into two segments.  The shorter segment is ___________ the length of the entire segment.
a)
one third
b)
two thirds
c)
three fourths
d)
one half
9.
The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?
a)
Midsegment
b)
Incenter
c)
Circumcenter
d)
Centriod
10.

This center is created by the union of three altitudes

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

11.

The incenter is equidistant from each __________ of the triangle.

a)

vertices

b)

sides

c)

median

d)

altitude

12.

The circumcenter is equidistant from each ______________ of the triangle

a)

vertices

b)

sides

c)

median

d)

altitude

13.

The union of three angle bisectors is the

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

14.
[Medians and Centroid]
If AC = 16, what is AM?
a)
4
b)
8
c)
6
d)
10
15.
[Median and Centroid]
If LB = 4, what is CL?
a)
4
b)
8
c)
6
d)
10
16.
[Median and Centroid]
If AP = 12, what is AL?
a)
6
b)
12
c)
18
d)
24
17.
[Angle Bisectors and Incenter]:
If PX is 5, what is PZ?
a)
20
b)
10
c)
5
d)
15
18.
[Angle Bisectors and Incenter]
If AY is 8, what is AZ?
a)
4
b)
6
c)
8
d)
10
19.
[Perpendicular Bisectors and Circumcenter]
If AF is 6, what is AC?
a)
6
b)
10
c)
16
d)
12
20.
[Perpendicular Bisectors and Circumcenter]
If BC is 18, what is DC?
a)
6
b)
9
c)
12
d)
18