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ch. 6 Relationships Within Triangles

Total questions: 26

Worksheet time: 3hrs 55mins

Name
Class
Date
1.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
2.
QR is a midsegment of triangle FGH. Solve for the value of x?
a)
5.5
b)
11
c)
-5.5
d)
-11
3.
If LN = 5, then AC = ______.
a)
5
b)
10
c)
15
d)
25
4.
If AC=42, find DF
a)
21
b)
84
c)
14
d)
28
5.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
6.

What type of special segment is shown?

a)

Altitude

b)

Perpendicular Bisector

c)

Median

d)

Angle Bisector

7.

What type of special segment is shown?

a)

Angle Bisector

b)

Altitude

c)

Median

d)

Perpendicular Bisector

8.
Which of the following describes an altitude 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. 
9.

What is AB?

a)

13

b)

20

c)

3

d)

12

10.

What is BC?

a)

20

b)

96

c)

90

d)

100

11.

Find the measure of angle ABC.

a)

30 degrees

b)

9 degrees

c)

60 degrees

d)

45 degrees

12.

Solve for x.

a)

90

b)

13.67

c)

22.5

d)

16.3

13.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
14.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
15.

Which of the following segments represents an median?

a)

BX

b)

AZ

c)

AC

d)

BZ

16.

Identify the type of segment pictured below.

a)

Midsegment

b)

Median

c)

Altitude

d)

Perpendicular Bisector

e)

Angle Bisector

17.

What are the coordinates of the endpoints of the midsegments for side EF?

a)

(0, 3)

b)

(1.5, 0)

c)

(-1.5, 0)

d)

(2, 1)

18.

Which of the following sets of side lengths could produce a triangle? Select ALL that apply.

a)

7 ft., 4 ft, 5 ft

b)

3 in, 6 in, 2 in.

c)

6 cm, 6 cm, 12 cm

d)

9 mm, 9 mm, 9mm

e)

4 m, 6 m, 9 m

19.

Will these line segments form a triangle?

a)

yes

b)

no

20.
Can the following side measures form a triangle?
  3, 5, 8 
a)
Yes
b)
No
21.

Will these three sides form a triangle?

a)

yes

b)

no

22.
Identify the shortest side measure.
a)
QP
b)
QM
c)
MP
23.
Identify the longest side measure.
a)
AC
b)
BA
c)
BC
24.
Identify the smallest angle.
a)
∠A
b)
∠B
c)
∠C
25.
Identify the largest angle.
a)
∠N
b)
∠Q
c)
∠P
26.
Identify the longest side measure.
a)
LM
b)
MQ
c)
LQ

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