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Optional Practice - 2nd Quarter Exam Study Guide Part A

Total questions: 102

Worksheet time: 3hrs 32mins

Name
Class
Date
1.
Classify the triangle by its sides
a)
equilateral
b)
isosceles
c)
scalene
2.
Classify the triangle by its angles
a)
equiangular
b)
acute
c)
right
d)
obtuse
3.
A triangle has angle measures of 
m<A = 2x +10
m<B = 5x - 3
m<C = 3x - 7
Find x.
a)
85
b)
36.6
c)
62.3
d)
18
4.
What is the measure of the missing angle?
a)
20
b)
130
c)
30
d)
50
5.
What is the measure of the missing angle?
a)
20
b)
47
c)
29
d)
16
6.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
7.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
8.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
9.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
10.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
11.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
Cannot be proven congruent
c)
SAS
d)
SSS
12.
What missing piece of information is needed to prove the triangles congruent using SAS?
a)
∠F≅∠Q
b)
∠G≅∠R
c)
∠H≅∠S
d)
FH = QS
13.
What missing piece of information is needed to prove the triangles congruent using ASA?
a)
GC = CD
b)
CE = CD
c)
∠GCE≅∠BCE
d)
BD = GE
14.
What missing piece of information is needed to prove the triangles congruent using SAS?
a)
NM = AM
b)
NL = CA
c)
∠M≅∠B
d)
∠N≅∠C
15.
What is the reason these triangles are congruent?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
16.
What is the reason these triangles are congruent?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
17.
What is the reason these triangles are congruent?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
18.
What is the reason these triangles are congruent?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
19.
What is the reason these triangles are congruent?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
20.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
21.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
22.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
23.

Including the Reflexive Property, state whether the triangles are congruent and why.

a)

no, not enough information

b)

yes, SAS

c)

yes, ASA

d)

yes, HL

24.

Using the fact that Vertical Angles are congruent, state whether the triangles are congruent and why.

a)

yes, ASA

b)

yes, AAS

c)

yes, SAS

d)

Not congruent, not enough information.

25.

Including the Reflexive Property, which theorem proves the triangles are congruent.

a)

ASA

b)

SSS

c)

SAS

d)

AAS

26.

Using the fact that Vertical Angles are congruent, state whether the triangles are congruent and if so, why.

a)

yes by HL

b)

yes, by SAS

c)

No, not congruent there is no AAA theorem

d)

yes, by AAS

27.

Using the Reflexive Property, which theorem proves that the triangles are congruent.

a)

SAS

b)

AAS

c)

ASA

d)

HL

28.

Given the two triangles, which statement is true by CPCTC?

a)

∠ACB ≅ ∠ DFE\angle ACB\ \cong\ \angle\ DFE  

b)

∠ BAC ≅ ∠ FDE\angle\ BAC\ \cong\ \angle\ FDE  

c)

∠CAB ≅∠FED\angle CAB\ \cong\angle FED  

d)

∠ABC ≅ ∠ DEF\angle ABC\ \cong\ \angle\ DEF  

29.
Which statement indicates that the triangles in each pair are congruent.
a)
∆LMK ≅ ∆LMT
b)
∆LMK ≅ ∆TMK
c)
∆LTKM ≅ ∆LMT
d)
∆TMK ≅ ∆TLK
30.
If ∆LMK ≅ ∆LMT, then
∠K ≅ ____
a)
T
b)
∠T
c)
∠M
d)
∠L
31.
These triangles are congruent. If ∠E is 45o and ∠B is 55o what is the measure of ∠C?
a)
45o
b)
55o
c)
80o
d)
100o
32.
In congruent triangles, corresponding parts are always ______.
a)
opposite
b)
equal
c)
equilateral
d)
acute
33.
If ΔDEF ≅ ΔRST, then we can conclude that ∠T ≅ ____.
a)
∠F
b)
∠E
c)
∠D
d)
EF
34.
ΔXYZ  ≅ Δ ____
a)
CAB
b)
BAC
c)
ABC
35.

Including the Reflexive Property, state whether the triangles are congruent and why.

a)

no, not enough information

b)

yes, SAS

c)

yes, ASA

d)

yes, HL

36.

Including Vertical Angles are Congruent, state whether the triangles are congruent and why.

a)

yes, AAS

b)

yes, SAS

c)

yes, ASA

d)

no, not enough information

37.
State if the triangles are congruent and why.
a)
AAS
b)
SAS
c)
ASA
d)
SSS
38.

Including the Reflexive Property, state whether the triangles are congruent and why.

a)

yes, SSS

b)

yes, ASA

c)

yes, AAS

d)

yes, HL

39.
State if the triangles are congruent and why.
a)
Not congruent
b)
AAS
c)
SSS
d)
ASA
40.
State if the triangles are congruent and why.
a)
AAS
b)
ASA
c)
Not congruent
d)
SSS
41.

Using the fact that Vertical Angles are congruent, state whether the triangles are congruent and why.

a)

yes, ASA

b)

yes, AAS

c)

yes, SAS

d)

Not congruent, not enough information.

42.

Including the Reflexive Property, which theorem proves the triangles are congruent.

a)

ASA

b)

SSS

c)

SAS

d)

AAS

43.

Using the fact that Vertical Angles are congruent, state whether the triangles are congruent and if so, why.

a)

yes by HL

b)

yes, by SAS

c)

No, not congruent there is no AAA theorem

d)

yes, by AAS

44.

Using the Reflexive Property, which theorem proves that the triangles are congruent.

a)

SAS

b)

AAS

c)

ASA

d)

HL

45.

What additional information is needed to prove the triangles congruent by HL?

a)

A

b)

B

c)

C

d)

D

46.

What additional information is needed to prove the triangles congruent by SSS?

a)

A

b)

B

c)

C

d)

D

47.

Using the fact that vertical angles are congruent, which theorem proves the triangles are congruent.

a)

SAS

b)

ASA

c)

AAS

d)

HL

48.
How many angles and how many sides are marked congruent?
a)
2 angles, 1 side
b)
0 angles, 3 sides
c)
1 angle, 2 sides
d)
3 angles, 0 sides
49.
What is the reason these triangles are congruent?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
50.
What is the reason these triangles are congruent?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
51.
What is the reason these triangles are congruent?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
52.
What is the reason these triangles are congruent?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
53.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
54.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
55.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
AAS
d)
Not Possible
56.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
57.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
58.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
59.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
60.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
Cannot be proven congruent
c)
SAS
d)
SSS
61.
What missing piece of information is needed to prove the triangles congruent using SAS?
a)
∠F≅∠Q
b)
∠G≅∠R
c)
∠H≅∠S
d)
FH = QS
62.
What missing piece of information is needed to prove the triangles congruent using ASA?
a)
GC = CD
b)
CE = CD
c)
∠GCE≅∠BCE
d)
BD = GE
63.
What missing piece of information is needed to prove the triangles congruent using SAS?
a)
NM = AM
b)
NL = CA
c)
∠M≅∠B
d)
∠N≅∠C
64.
Is Angle-Angle-Angle (AAA), a valid rule for proving triangles congruent?
a)
No
b)
Sometimes
c)
Yes
d)
N/A
65.
Fill in the missing pieces of the proof.
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Reflexive Property, Vertical Angles Thm.
d)
Transitive Property, SSS(Side-Side-Side)
66.
a)
SAS
b)
None
c)
SSS
d)
ASA
67.
∆ABC ≅ ∆LMN. Which statement is NOT true?
a)
LM ≅ AB
b)
∆CAB ≅ ∆NLM
c)
∠C ≅ ∠N
d)
BC ≅ ML
68.
What goes from the vertex, bisects the angle at that vertex, and connects to the opposite side?
a)
Angle Bisector
b)
Perpendicular Bisector
c)
Median
d)
Midsegment
69.
What goes from the middle of a side and is perpendicular to that same side?
a)
Perpendicular Bisector
b)
Midsegment
c)
Angle Bisector
d)
Altitude
70.
What goes from the vertex to the middle of the opposite side?
a)
Median
b)
Angle Bisector
c)
Midsegment
d)
Altitude
71.
What goes from the vertex and forms a right trangle with the opposite side? ("height" of a triangle)
a)
Altitude
b)
Angle Bisector
c)
Perpendicular Bisector
d)
Median
72.
a)
Altitude
b)
Median
c)
Perpendicular Bisector
d)
None
73.
a)
Perpendicular Bisector
b)
Angle Bisector
c)
Median
d)
Midsegment
74.
a)
Angle Bisector
b)
Median
c)
Altitude
d)
None
75.
a)
Median
b)
Altitude
c)
Midsegment
d)
None
76.
a)
Midsegment
b)
Median
c)
Altitude
d)
None
77.
a)
Median
b)
Perpendicular Bisector
c)
Altitude
d)
Midsegment
78.
a)
Altitude
b)
Midsegment
c)
Median
d)
None
79.
a)
Altitude
b)
Median
c)
Angle Bisector
d)
None
80.
a)
Altitude
b)
Median
c)
Midsegment
d)
None
81.
a)
Altitude
b)
Midsegment
c)
Perpendicular Bisector
d)
None
82.
a)
Perpendicular Bisector
b)
Midsegment
c)
Median
d)
None
83.
a)
Altitude
b)
Perpendicular Bisector
c)
Angle Bisector
d)
None
84.
a)
Median
b)
Angle Bisector
c)
Altitude
d)
Midsegment
85.
a)
Midsegment
b)
Perpendicular Bisector
c)
Median
d)
None
86.
a)
Altitude
b)
Median
c)
Midsegment
d)
Perpendicular Bisector
87.
a)
Median
b)
Midsegment
c)
Perpendicular Bisector
d)
None
88.
a)
Altitude
b)
Median
c)
Angle Bisector
d)
None
89.
a)
Altitude
b)
Perpendicular Bisector
c)
Median
d)
Angle Bisector
90.

If point N is the centroid of ∆HIJ, IM = 18, KN = 4, and HL = 15, find JN.

(a)  

91.

If segment JL is a median for ∆IJK, find the value of x.

(a)  

92.

If segment RU is an altitude for ∆RST, find the value of x.

(a)  

93.

Which angle has the greatest measure?

a)

∠1

b)

∠2

c)

∠3

d)

∠4

94.

Which inequality relates m∠1 to m∠2?

a)

m∠1 < m∠2

b)

m∠1 = m∠2

c)

m∠1 > m∠2

d)

Can not be determined

95.

Which inequality relates AB to DE?

a)

Cannot be determined

b)

AB > DE

c)

AB = DE

d)

AB < DE

96.

Determine whether 8, 4, and 2 can be the lengths of the sides of a triangle.

a)

Yes

b)

No, 4 + 2 ≯ 8

c)

No, 8 + 2 ≯ 4

d)

No, 8 + 4 ≯ 2

97.
Perpendicular segments create _______ ?
a)
obtuse angles
b)
acute angles
c)
right angles
d)
parallel angles
98.

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

a)

midsegment

b)

perpendicular bisector

c)

median

d)

altitude

99.

Which one is the correct construction for a perpendicular bisector?

a)

1

b)

2

c)

3

d)

4

100.
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.
101.

The drawing shows a compass and straight edge construction of...what?

a)

the bisector of a given angle

b)

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

c)

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

d)

an angle congruent to a given angle

102.

Name the construction

a)

radius

b)

Rectangle

c)

Square

d)

Equilateral triangle

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