WorksheetsCongruence and Proof Review
Total questions: 43
Worksheet time: 2hrs 5mins
Name
Class
Date
1.
Which of the following is not a valid reason to prove congruent triangles?
a)
ASA
b)
SAS
c)
SSS
d)
AAA
2.
What is the "statement" for step 3 of the proof?
a)
HT=TA
b)
HA=AH
c)
MA=AM
d)
MA=MH
3.
What is the "statement" for step 2 of the proof?
a)
∡JHI≅∡JKL
b)
JL=JI
c)
∡H≅∡K
d)
HI=KL
4.
Are the triangles congruent, if yes, why?
a)
SSS
b)
ASA
c)
AAS
d)
Not Congruent
5.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
6.
Identify the missing statement or reason
a)
Reflexive Property
b)
Definition of Midpoint
c)
Given
d)
Vertical Angles Theorem
7.
Identify the missing statement or reason
a)
Given
b)
Vertical Angles Theorem
c)
Definition of Angle Bisector
d)
Alternate Interior Angles Theorem
8.
Identify the missing statement or reason
a)
Definition of Angle Bisector
b)
Alternate Interior Angles Theorem
c)
Reflexive Property
d)
Definition of Midpoint
9.
What is the "statement" for step 3 of the proof?
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
10.
Rigid Motions preserve ...
a)
angle measure and side lengths
b)
angle measure
c)
side lengths
d)
they do not preserve anything
11.
What does CPCTC stand for?
a)
Corresponding Parts of Congruent Triangles are Congruent
b)
Congruent Parts of Congruent Triangles are Corresponding
c)
Colorful Pieces of Corresponding Triangles are Congruent
d)
Congruent Pieces of Congruent Triangles are Congruent
12.
What triangle congruence criteria is shown in the given diagram?
a)
AAS
b)
ASA
c)
SSA
d)
SAS
13.
What triangle congruence criteria is shown in the given diagram?
a)
ASA
b)
AAS
c)
SSA
d)
HL
14.
A triangle with two congruent sides and two congruent angles (base angles) is called ...
a)
scalene
b)
equilateral
c)
isosceles
d)
obtuse
15.
What is the missing piece of information required to prove these triangles congruent?
a)
QY ≅ QY
b)
NY ≅ PY
c)
∠N ≅ ∠P
d)
QY is the perpendicular bisector
16.
What is the "reason" for step 5 of the proof?
a)
Angle Bisector Theorem
b)
Reflexive property
c)
CPCTC Theorem
d)
Proof
17.
Which equation would you use to find x?
a)
2x-6=7x+4
b)
2x-6+7x+4=90
c)
2x-6+7x+4=180
d)
2x-6+7x+4=360
18.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
19.
What are the 2 missing pieces of information?
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Transitive Property, SSS(Side-Side-Side)
d)
Reflexive Property, SSS(Side-Side-Side)
20.
Determine if the triangles are congruent, if "yes" state the theorem.
a)
not congruent
b)
yes, SSS
c)
yes, SAS
d)
yes, ASA
21.
Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches
2 inches, 2 inches, 4 inches
a)
Yes
b)
No
22.
9. Which of these lengths CANNOT represent the sides of a triangle?
a)
32, 34, 60
b)
28, 30, 58
c)
13, 20, 27
d)
2, 4, 5
23.
If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?
a)
any length
b)
equal to 10
c)
greater than 10
d)
less than 10
24.
Which of the following does not represent the lengths of the sides of a triangle?
a)
2 cm, 6 cm, 7 cm
b)
5 cm, 2 cm, 5 cm
c)
5 cm, 5 cm, 8 cm
d)
3 cm, 10 cm, 15 cm
25.
What is the range of values of x for a triangle's third side given side measures of 4 and 12?
a)
between 8 and 16
b)
less than 4, greater than 12
c)
between 4 and 12
26.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=3.4
b)
Complementary; x=45
c)
Supplementary; x=20
d)
Supplementary; x=175
27.
Identify the shortest side measure.
a)
QP
b)
QM
c)
MP
28.
List the side measures in order, shortest to longest.
a)
QM, QP, MP
b)
MQ, MP, QP
c)
MP, MQ, QP
29.
Identify the longest side measure.
a)
AC
b)
BA
c)
BC
30.
Identify the smallest angle.
a)
∠A
b)
∠B
c)
∠C
31.
List the angles in order by measure, smallest to largest.
a)
∠B, ∠A, ∠C
b)
∠A∠,B, ∠C
c)
∠A, ∠C, ∠B
32.
Identify the smallest angle.
a)
∠K
b)
∠L
c)
∠M
33.
Identify the largest angle.
a)
∠N
b)
∠Q
c)
∠P
34.
Identify the longest side measure.
a)
LM
b)
MQ
c)
LQ
35.
What is the range of values of x for a triangle's third side given side measures of 8 and 15?
a)
between 8 and 15
b)
between 7 and 23
c)
less than 7, greater than 23
36.
Find the measure of the angle indicated.
a)
139°
b)
66°
c)
138°
d)
116°
37.
Solve for x.
a)
16
b)
11
c)
50
d)
6
38.
What is the measure of angle x?
a)
45
b)
60
c)
65
d)
75
39.
Which of the following angles are remote interior angles to angle d?
a)
Angle a and Angle b
b)
Angle b and Angle c
c)
Angle a and Angle c
d)
Angle a and Angle b and Angle c
40.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
41.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
42.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
43.
If all three angles are exactly the same measure, how big is each angle?
Hint: x + x + x = 180
Hint: x + x + x = 180
a)
180 degrees
b)
90 degrees
c)
50 degrees
d)
60 degrees
100 %
