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WorksheetsTriangles TEST
Total questions: 51
Worksheet time: 4hrs 16mins
Name
Class
Date
1.
A triangle has 2 congruent sides and one 90 angle. Which TWO terms accurately describe the triangle?
a)
isosceles
b)
obtuse
c)
scalene
d)
acute
e)
right
2.
a)
scalene, acute
b)
scalene, obtuse
c)
isosceles, acute
d)
isosceles, obtuse
3.
What are all the ways we can classify this triangle? Choose two.
a)
acute
b)
obtuse
c)
scalene
d)
isoscles
e)
equilateral
4.
ΔABC and ΔXYZ are congruent triangles. Which statement is known to be true?
a)
∠A≅∠B
b)
∠X≅∠Y
c)
∠B≅∠Y
d)
∠A≅∠Y
5.
Which set of equivalent measures does NOT make it possible to determine if any two given triangles are congruent?
a)
Angle-Side-Angle
b)
Side-Angle-Side
c)
Angle-Angle-Side
d)
Angle-Angle-Angle
6.
For ∆ABC and ∆DEF, the following is given: ∠C≅∠F, AB≅DE, and BC≅EF. By which triangle congruence statement can it be concluded that the triangles are congruent?
a)
SSS
b)
SAS
c)
ASA
d)
It cannot be determined
7.
For ∆ABC and ∆DEF, the following is given: AB≅DE, BC≅EF, and AC≅DF. By which triangle congruence statement can it be concluded that the triangles are congruent?
a)
SSS
b)
SAS
c)
ASA
d)
It cannot be determined
8.
Find the measure of angle D.
a)
140 degrees
b)
16 degrees
c)
40 degrees
d)
90 degrees
9.
Find the missing angle.
a)
29°
b)
39°
c)
49°
d)
59°
10.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not enough information
11.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
AAS
d)
Not enough information
12.
Name the postulate, if possible, that makes triangles AED and CEB congruent.
a)
SSA
b)
SAS
c)
HL
d)
Not enough information
13.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
14.
Which of the following cannot be used to prove triangles congruent?
a)
HL
b)
AAA
c)
SSS
d)
SAS
15.
What information is missing to determine if the triangles are congruent by HL?
a)
∠G ≅ ∠X
b)
∠H ≅ ∠W
c)
GI ≅ XV
d)
GH ≅ XW
16.
What information is missing to determine if the triangles are congruent by SAS?
a)
CA≅ NL
b)
∠C ≅ ∠N
c)
∠A ≅ ∠L
d)
∠B ≅ ∠M
17.
IF THESE TRIANGLES ARE CONGRUENT,
WHAT THEOREM PROVES THIS?
WHAT THEOREM PROVES THIS?
a)
A
b)
B
c)
C
d)
D
18.
Find the exterior angle
a)
100
b)
55
c)
45
d)
80
19.
Find the measure of angle S
a)
A
b)
B
c)
C
d)
D
20.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
21.
What is the "reason" for step 5 of the proof?
a)
Vertical Angle Theorem
b)
proof
c)
def. of angle bisector
d)
CPCTC
22.
When does one use CPCTC?
a)
Before triangles are congruent
b)
After triangles are congruent
c)
Whenever one wants, there are no restrictions
d)
There is no such thing as CPCTC
23.
What is the "statement" for step 5 of the proof?
a)
HM=AT
b)
HM=TA
c)
∆MAH≅∆THA
d)
∡MAH≅∡THA
24.
Use the congruence statement to find the missing part of the statement
a)
WV
b)
WU
c)
VU
d)
WB
25.
Which is NOT a test to prove triangles congruent?
a)
SAA
b)
SSS
c)
SSA
d)
SAS
26.
What does CPCTC stand for?
a)
Corresponding Parts of Corresponding Triangles are Congruent
b)
Congruent Parts of Corresponding Triangles are Congruent
c)
Corresponding Parts of Congruent Triangles are Congruent
27.
What is the "statement" for step 3 of the proof?
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
28.
What is the "reason" for step 3 of the proof?
a)
Proof
b)
Def. of Midpoint
c)
Reflexive Property
d)
Vertical angle Theorem
29.
What is the value of x?
a)
75
b)
80
c)
63
d)
60
30.
Which angle is the vertex angle?
a)
<C
b)
<A
c)
<B
31.
What is the measure of angle 2?
a)
50
b)
65
c)
115
32.
Identify the shortest side measure.
a)
QP
b)
QM
c)
MP
33.
Identify the longest side measure.
a)
AC
b)
BA
c)
BC
34.
Can the following side measures form a triangle?
3, 5, 8
3, 5, 8
a)
Yes
b)
No
35.
If two sides of a triangle are congruent, then the _________________ opposite those sides are congruent.
a)
sides
b)
vertices
c)
angles
d)
measures
36.
Which triangle congruence postulate proves that triangle PRS is congruent to triangle QRS?
a)
HL
b)
SAS
c)
SSA
d)
AAS
37.
Which triangle congruence proves triangle ABC congruent triangle XYZ?
a)
ASA
b)
not necessarily congruent
c)
AAA
d)
SSS
38.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
39.
What additional information is required to prove the 2 triangles are congruent by HL
a)
A)
b)
B)
c)
C)
d)
D)
40.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
HL
b)
SSA
c)
SAS
d)
AAS
41.
If L is the midpoint of TJ, what must be true?
a)
TL=JT
b)
JL=TJ
c)
TL=LJ
d)
T is also the midpoint of JL
42.
If DA is perpendicular to IE, then we can immediately conclude that
a)
IA=AE
b)
<IAD = <DAE
c)
<IDA=<EDA
d)
<IAD and <DAE are right angles
43.
If DA bisects EI, then
a)
<IDA = <EDA
b)
AI=EA
c)
Both 1 and 2 are correct
d)
DI=ED
44.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
45.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
46.
Name the postulate, if possible, that makes the triangles congruent. Given: AM ≈ MB and everything that is marked congruent.
a)
SAS
b)
ASA
c)
AAS
d)
HL
47.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
48.
What is the correct congruence statement? ΔDEC ≅________
a)
ΔAEB
b)
ΔEAB
c)
ΔBEA
d)
Not Congruent
49.
Fill in the blank.
a)
Given
b)
Reflexive Property
c)
Transitive Property
d)
They're the same side!!!!!!
50.
The longest side of a triangle would be located where on a triangle?
a)
Across from the smallest angle
b)
Across from the largest angle
c)
Cannot tell.
d)
Adjacent to the smallest side.
51.
The longest side of a triangle would be located where on a triangle?
a)
Across from the smallest angle
b)
Across from the largest angle
c)
Cannot tell.
d)
Adjacent to the smallest side.
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