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Medians, Mid-segments, Midpoints

Total questions: 36

Worksheet time: 2hrs 1mins

Name
Class
Date
1.
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
2.
When you draw the medians of a triangle it creates the point of concurrency called the _____________.
a)
Centroid
b)
Incenter
c)
Perpendicular Bisectors
d)
Altitude
3.
Which of the following describes a median of a triangle?
a)
A segment that passes through the middle of the triangle.
b)
A segment with endpoints at the vertex and midpoint of the opposite side.
c)
A segment that connects two midpoints of two sides.
d)
A segment that connects the vertex and the opposite side at 90 degrees. 
4.

What does an angle bisector do?

a)

Makes two 90 degree angles

b)

splits a 90 degree angle in half

c)

splits an angle in half

d)

splits 2 sides in half

5.

G is the centroid of triangle ABC

a)

22

b)

11

c)

3

d)

66

6.

RC and ET are medians. Find x if TS = 2x - 2 and CS = 2x - 4

a)

10.3

b)

9

c)

3

d)

12

7.
BE = 15. Find EG.
a)
10
b)
5
c)
22.5
d)
20
8.
The mid segment of the triangle is 5x-1. Find the value of x.
a)
x = 6
b)
x = 7
c)
x = 11.8
d)
x = 12.4
9.
Q is the midpoint of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.
a)
8
b)
16
c)
41
d)
82
10.
Find the value of r
a)
46
b)
44
c)
43
d)
47
11.
Find the value of x.
a)
14
b)
60
c)
35
d)
180
12.
Name the construction.
a)
Corresponding angles
b)
Parallel line to a point not on the line
c)
Perpendicular line to a point not on the line
d)
Angle bisector
13.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides. 
d)
To cut something into two congruent pieces or in half.
14.
Line SR is one of the three ______s of triangle PQR.
a)
midpoints
b)
medians
c)
bisectors
d)
altitudes
15.
Given AM is the median, which of the following statements is false?
a)
BM = MC
b)
BC = 2MC
c)
MB = CB
d)
MC = BM
16.
a)

x=3/17

b)

x=9

c)

x=3

d)

x= -3

17.
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
18.
The centroid is the point of concurrency of the 3 ____ of a triangle. 
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
19.
a)
21
b)
25
c)
32
d)
40
20.
a)
37
b)
30
c)
43
d)
18.5
21.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
22.
What is the length of the Midsegment?
a)
6
b)
9
c)
12
d)
18
23.
What segment is parallel to EF?
a)
Segment PM
b)
Segment MN
c)
Segment NP
d)
Segment FG
24.
What movie says "Hakuna Matata"?
a)
Lilo and Stitch
b)
Toy Story
c)
The Jungle Book
d)
The Lion King
25.

GivenL L, M, & N are midpoints.

If LN = 5, then AC = ______.

a)

5

b)

10

c)

15

d)

25

26.

Is DE 1/2 the length of BC?

a)

Yes

b)

No

27.

If AC=42, find DF

a)

21

b)

84

c)

14

d)

28

28.

Name the parallel segment if P, M, & N are midpoints to each side.

a)

CP

b)

CA

c)

CB

d)

AB

29.

Name the parallel segment if N, M, & P are midpoints to each side.

a)

MN

b)

NP

c)

MP

d)

HI

30.

QR is a midsegment of ΔWUV.

What is the length of segment QR?

a)

4

b)

8

c)

16

d)

32

31.

QR is a midsegment of ΔBCD. Solve for the value of x. SHOW YOUR WORK!

a)

11

b)

18

c)

9

d)

-7

32.

A segment that connects a vertex to the opposite sides midpoint of a triangle is called?

a)

Altitude

b)

Midpoint

c)

Median

d)

Angle Bisector

33.

A line, ray or segment that divides another segment into two congruent segments is called a?

a)

Perpendicular bisector

b)

Segment Bisector

c)

Angle Bisector

d)

Midpoint

34.

A line or ray that divides an angle into two congruent angles is called?

a)

Median

b)

Altitude

c)

Perpendicular bisector

d)

Angle bisector

35.
Which of the following segments represents a median?
a)
BX
b)
AZ
c)
AC
d)
BZ
36.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median

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