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Geometry Test 2 Review (parallel-4centers)

Total questions: 41

Worksheet time: 1hrs 4mins

Name
Class
Date
1.

Which construction is shown?

a)

the perpendicular bisector of a line segment

b)

a perpendicular to a given line at a given point on the line

c)

a line segment congruent to a given line segment

d)

a line parallel to a given line through a point not on the given line

2.

A line or line segment that passes through the midpoint of a line segment and forms a 90 degree angle with the segment. 

a)

Bisector

b)

Perpendicular Bisector

c)

Angle

d)

Angle bisector

3.

Which one is the correct construction for a perpendicular bisector?

a)

1

b)

2

c)

3

d)

4

4.
The centroid is the point of concurrency of the 3 ____ of a triangle. 
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
5.
CF, BE, and AD are the medians of the triangle. If BF =10, find AF.
a)
20
b)
10
c)
5
d)
Not Enough Information
6.
If DL = 24, then DG = 
a)
16
b)
8
c)
12
d)
36
7.

What is the point of concurrency of the perpendicular bisectors of a triangle?

a)
Circumcenter
b)
incenter
c)
orthocenter
d)
centroid
8.
If G is the centroid of triangle ABC and GF= 4. Find the length of GC.
a)
4
b)
8
c)
12
d)
Not Enough Information
9.
If G is the centroid of triangle ABC and BE= 18. Find the length of BG.
a)
6
b)
12
c)
18
d)
Not Enough Information
10.
Define: INCENTER OF A TRIANGLE
a)
the intersection point of the three angle bisectors of a triangle 
b)
when three or more lines intersect at a single point 
c)
the intersection point of the three perpendicular bisectors of a triangle 
d)
the point of intersection of three or more lines 
11.
If G is the centroid of triangle ABC and GE= 7. Find the length of BE.
a)
7
b)
14
c)
21
d)
Not Enough Informaion
12.
10. What type of lines are shown
a)
perpendicular bisectors
b)
medians
c)
altitudes
d)
angle bisectors
13.
The Point of Concurrency for the Altitudes of a Triangle.
a)
Circumcenter
b)
Incenter
c)
Orthocenter
d)
Centroid
14.

Which construction is shown?

a)

the bisector of a given angle

b)

a perpendicular to a given line at a given point on the line

c)

a line parallel to a given line through a point not on the given line

d)

a perpendicular to a given line from a point not on the line

15.

Which construction is shown?

a)

a line segment congruent to a given line segment

b)

a line parallel to a given line through a point not on the given line

c)

an angle congruent to a given angle

d)

a perpendicular to a given line from a point not on the line

16.

Which construction is shown?

a)

the perpendicular bisector of a line segment

b)

a perpendicular to a given line from a point not on the line

c)

the bisector of a given angle

d)

a line parallel to a given line through a point not on the given line

17.

The given diagram is what kind of construction?

a)

Perpendicular bisector

b)

Congruent angles

c)

Angle bisector

d)

Congruent line segments

18.

What does this symbol mean?

≅

a)

not equal

b)

congruent

c)

equal

d)

half

19.

Which of the following sets of side lengths could produce a triangle. SELECT ALL THAT APPLY.

a)

4, 4, 4

b)

5, 5, 10

c)

3, 6, 9

d)

5, 7, 11

e)

13, 5, 6

20.

Will these three sides form a triangle?

a)

yes

b)

no

21.
Determine if it is possible to form a triangle with the given side lengths. 15 in., 12 in., 2 in.
a)
yes
b)
no
22.

1.  What is the longest side in ∆GOD?

a)

DO‾\overline{DO}   

b)

GD‾\overline{GD}  

c)

   GO‾\overline{GO}  

d)

DG‾\overline{DG}  

23.

2. What is the shortest side in ∆GOD?

a)

DO‾\overline{DO}   

b)

GD‾\overline{GD}  

c)

OG ‾\overline{OG\ }   

d)

DG‾\overline{DG}  

24.

6 .  What is the opposite side of ∠T in ∆THE?

a)

TH‾\overline{TH}   

b)

HE‾\overline{HE}  

c)

TE‾\overline{TE}   

d)

HT‾\overline{HT}  

25.
Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 mm, 4 mm
a)

3< x < 11

b)

2 < x < 12

c)

3 ≤ x ≤ 11

26.

Find the degrees for angle d.

(a)  

27.

In the image, what is angle 1 degrees?

a)

35

b)

40

c)

55

d)

70

28.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
29.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
30.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
31.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
32.

Identify the type of segment pictured below.

a)

Midsegment

b)

Median

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

33.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
34.
Solve for x.
a)
16
b)
20
c)
22
d)
24
35.

The figure shows a triangle with one of its angle bisectors.

a)

111

b)

18.5

c)

37

d)

74

36.

The figure shows a triangle with one or more of its medians.

a)

6

b)

9

c)

3

d)

11

37.

The figure shows a triangle with one or more of its medians.

a)

4

b)

8

c)

2.67

d)

24

38.

Which of the following shows the construction of an angle bisector?

a)
b)
c)
d)
39.

The following shows the steps of which construction?

a)

inscribed triangle

b)

inscribed hexagon

c)

circumscribed square

d)

inscribed square

40.
a)
b)
c)
d)
41.

Which of the following is the construction of an equilateral triangle given side AB?

a)
b)
c)
d)
e)

Not enough information without labeled side lengths

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