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Sections 6.4-6.6 Review

Total questions: 59

Worksheet time: 15hrs 45mins

Name
Class
Date
1.
Name a segment parallel to segment AC
a)
segment DE
b)
segment DB
c)
segment AC
d)
segment BC
2.
Name a segment that has the same length as segment BD
a)
segment BE
b)
segment DE
c)
segment AD
d)
segment AC
3.
name a segment that has half the length of segment AC
a)
segment AD
b)
segment BE
c)
segment DE
d)
segment BC
4.
Name a segment that has twice the length of segment EC
a)
segment BC
b)
segment BE
c)
segment AC
d)
segment BD
5.
Find the coordinates to G.
a)
2
b)
(2, 0)
c)
(0, 2)
d)
(0, 0)
6.
Find the coordinates to H.
a)
(3, 2)
b)
(2, 3)
c)
(3, 3)
d)
(6, 0)
7.
Find the slope of segment DF.
a)
1
b)
2
c)
0
d)
undefined
8.
Find the slope of segment GH.
a)
1
b)
2
c)
0
d)
undefined
9.
If two segments have the same slope, then they are parallel.  Are segments DF and GH parallel?
a)
yes
b)
no
10.
Find the length of segment DF.
a)
2
b)
3
c)
4
d)
6
11.
Find the length of segment GH.
a)
2
b)
3
c)
4
d)
6
12.
Does GH = 1/2DF?.
a)
no
b)
yes
13.
Find the measure of ST
a)
12
b)
11
c)
24
d)
no enough information
14.
Name a midsegment of ⌂ABC
a)
segment AC
b)
segment DE
c)
segment AB
d)
segment BC
15.
Find the measure of QR
a)
11
b)
22
c)
24
d)
55
16.
Find the measure of PU
a)
12
b)
11
c)
24
d)
not enough information
17.
Find the measure of angle SUP
a)
55 degrees
b)
125 degrees
c)
180 degrees
d)
not enough information
18.
Find the measure of angle SUR
a)
55 degrees
b)
125 degrees
c)
180 degrees
d)
not enough information
19.
Find the measure of angle PQR
a)
55 degrees
b)
125 degrees
c)
180 degrees
d)
not enough information
20.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
21.
QR is a midsegment of triangle FGH. Solve for the value of x?
a)
5.5
b)
11
c)
-5.5
d)
-11
22.
QR is a midsegment of triangle BCD. Solve for the value of x.
a)
11
b)
18
c)
9
d)
-7
23.
TS is a midsegment of triangle GHI. Solve for the value of x.
a)
4
b)
6
c)
8
d)
10
24.
VW is a midsegment of triangle KIJ. What is the length of segment KI?
a)
-1
b)
-10
c)
18
d)
8
25.

Find the range of possible values for x

a)

x>7x>7

b)

−173<x>7-\frac{17}{3}<x>7

c)

−173<x<7-\frac{17}{3}<x<7

d)

x<7x<7

26.

Compare m∠ACD and m∠GDEm\angle ACD\ and\ m\angle GDE

a)

m∠ACB > m∠GDEm\angle ACB\ >\ m\angle GDE

b)

m∠ACD < m∠GDEm\angle ACD\ <\ m\angle GDE

c)

m∠ACB = m∠GDEm\angle ACB\ =\ m\angle GDE

d)

∠ACB ≅ ∠GDE\angle ACB\ \cong\ \angle GDE

27.

It is called the HINGE theorem, because...

a)

the vertex of the angle acts like a hinge to open the triangle.

b)

it's named after Joseph Hinge, the man who discovered it.

c)

"hinge" is the Spanish word for angle.

d)

the triangle makes a hinge shape, like a tent.

28.

Compare QT and ST

a)

QT < STQT\ <\ ST

b)

QT > STQT\ >\ ST

c)

QT = STQT\ =\ ST

d)

QT‾ ≅ ST‾\overline{QT}\ \cong\ \overline{ST}

29.

Which inequality relates ∠FBG and ∠BFA\angle FBG\ and\ \angle BFA ?

a)

m∠FBG <m∠BFAm\angle FBG\ <m\angle BFA

b)

m∠FBG >m∠BFAm\angle FBG\ >m\angle BFA

c)

m∠FBG ≥m∠BFAm\angle FBG\ \ge m\angle BFA

d)

m∠FBG ≤m∠BFAm\angle FBG\ \le m\angle BFA

30.

Which inequality relates ∠GBC and ∠FBA\angle GBC\ and\ \angle FBA ?

a)

m∠GBC <m∠FBAm\angle GBC\ <m\angle FBA

b)

m∠GBC > m∠FBAm\angle GBC\ >\ m\angle FBA

c)

m∠GBC ≤ m∠FBAm\angle GBC\ \le\ m\angle FBA

d)

m∠GBC ≥ m∠FBAm\angle GBC\ \ge\ m\angle FBA

31.
Which of the following is a possible  length for segment AC
a)
10
b)
15
c)
17
d)
9
32.
Select the correct answer
a)
A
b)
B
c)
C
d)
D
33.
Select the correct answer
a)
A
b)
B
c)
C
d)
D
34.
Using the hinge theorem, we can say that AB _____ DC
a)
Greater than
b)
Less than
c)
Equal to
d)
Half of 
35.
Using the hinge theorem, we can say that Angle 1 _____ Angle 2.
a)
Less than
b)
Greater than
c)
Equal to 
d)
Half of
36.
Using the hinge theorem, we can say that Angle 1 _____ Angle 2.
a)
Less than
b)
Greater than
c)
Equal to 
d)
Half of
37.

BC _____ EF

a)

<

b)

>

c)

=

d)

No conclusion can be made.

38.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

39.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

40.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

41.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

42.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

43.

Complete with >, < or =.

a)

>

b)

<

c)

=

d)

I don't know.

44.
What is the largest angle?
a)
J
b)
K
c)
L
45.
What is the biggest side?
a)
EF
b)
FG
c)
EG
46.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
47.
Can the sides of a triangle have lengths 3, 8, and 9?
a)
Yes
b)
No
48.
Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
49.
Identify the shortest side measure.
a)
QP
b)
QM
c)
MP
50.
List the side measures in order, shortest to longest.
a)
QM, QP, MP
b)
MQ, MP, QP
c)
MP, MQ, QP
51.
Identify the longest side measure.
a)
AC
b)
BA
c)
BC
52.
Identify the smallest angle.
a)
∠A
b)
∠B
c)
∠C
53.
List the angles in order by measure, smallest to largest.
a)
∠B, ∠A, ∠C
b)
∠A∠,B, ∠C
c)
∠A, ∠C, ∠B
54.
Identify the largest angle.
a)
∠N
b)
∠Q
c)
∠P
55.
The sides of an equilateral triangle have...
a)
different measures.
b)
Febtober.
c)
equal measures.
d)
60°.
56.
Find x
a)
10
b)
32
c)
116
d)
16
57.

What is the smallest angle?

a)

∠J

b)

∠K

c)

∠L

58.

The sum of the interior angles in a triangle is ...

a)

360 degrees

b)

180 degrees

c)

90 degrees

d)

540 degrees

59.

Three line segments have measures of 12 cm, 7 cm, and 5 cm. Will the segments form a triangle?

a)

Yes

b)

No