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Triangle Quiz

Total questions: 44

Worksheet time: 46mins

Name
Class
Date
1.

A line that is perpendicular to a segment at its midpoint is called a ____________.

a)

midsegment

b)

perpendicular bisector

c)

median

d)

altitude

2.

Name the shortest side of Triangle ABC.

a)

AB

b)

BC

c)

AC

3.

Put the sides of the triangle in order from smallest to largest.

a)

TS, RT, RS

b)

TS, RS, RT

c)

RT, TS, RS

d)

RS, RT, TS

4.

Put the angles in order from smallest to largest.

a)

X, Y, Z

b)

Z, X, Y

c)

Y, X, Z

d)

Y, Z, X

5.
Perpendicular segments create _______ ?
a)
obtuse angles
b)
acute angles
c)
right angles
d)
parallel angles
6.

Three lighthouses are located around an ocean bay as shown. Determine which two lighthouses are farthest apart.

a)

2 and 3

b)

1 and 3

c)

1 and 2

d)

cannot be determined

7.

Which set of 3 sides could create a triangle?

a)

2, 3, 5

b)

4, 9, 14

c)

7, 8, 21

d)

5, 6, 7

8.
Can the sides of a triangle have lengths 4, 11, and 13?
a)
Yes
b)
No
9.

How do find the range of possible values of the third side of a triangle given two sides?

a)

add<x<squareadd<x<square

b)

subtract<x<dividesubtract<x<divide

c)

add<x<multiplyadd<x<multiply

d)

subtract<x<addsubtract<x<add

10.

Two sides of a triangle are 7 and 12 inches. What is the range of the possible side length of the third side?

a)

5 < x < 19

b)

4 < x < 8.5

c)

8< x < 11

d)

4 < x < 20

11.

Two sides of a triangle are 8 and 8 inches. What is the range of the possible side length of the third side?

a)

5 < x < 19

b)

8 < x < 16

c)

1 < x < 15

d)

0 < x < 16

12.

The CENTROID is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

13.

The ORTHOCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

14.

The INCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

15.

The CIRCUMCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

16.

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

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

altitude

17.

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

a)

angle bisector

b)

altitude

c)

altitude

d)

median

18.

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

a)

altitude

b)

perpendicular bisector

c)

median

d)

angle bisector

19.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors

20.

The place where all three angle bisectors meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

21.

The place where all three perpendicular bisectors meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

22.

The place where all three medians meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

23.

The place where all three altitudes meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

24.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

25.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

26.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

27.

H is the circumcenter of triangle BCD. What is the length of GD?

a)

29

b)

26

c)

32

d)

24

28.

Y is the incenter of triangle STU. What is the length of VT?

a)

29

b)

26

c)

25

d)

24

29.

Y is the incenter of triangle STU. What is the length of YW?

Hint: you will have to use pythagorean theorem

a)

19

b)

12

c)

14

d)

10

30.
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
31.
The centroid is the point of concurrency of the 3 ____ of a triangle. 
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
32.
The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?
a)
Midsegment
b)
Incenter
c)
Circumcenter
d)
Centriod
33.
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
34.
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
35.
ED is the midsegment of triangle ABC. Find BC
a)
10.2
b)
12.5
c)
20.4
d)
22.7
36.
[Median and Centroid]
If AP = 12, what is AL?
a)
6
b)
12
c)
18
d)
24
37.
[Medians and Centroid]
If AC = 16, what is AM?
a)
4
b)
8
c)
6
d)
10
38.

If F, G, and H are midpoints of the sides of triangle JKL, FG=37, KL=48, and GH=30.


Which statement is FALSE?

a)

FH = 24

b)

JL = 74

c)

KJ = 60

d)

KF = 35

39.
Find the length of AB
a)
6
b)
11
c)
17
d)
68
40.
What is the measure of angle a?
a)
50
b)
80
c)
130
d)
Cannot Determine
41.
If AC=42, find DF
a)
21
b)
84
c)
14
d)
28
42.
The figure is an example of a(n) ...
a)
median
b)
altitude
c)
midsegment
d)
angle bisector
43.
Find the coordinates to G.
a)
2
b)
(2, 0)
c)
(0, 2)
d)
(0, 0)
44.
Name a segment parallel to segment AC
a)
segment DE
b)
segment DB
c)
segment AC
d)
segment BC