WorksheetsPROVING TRIANGLE CONGRUENCE
Total questions: 20
Worksheet time: 29mins
Name
Class
Date
1.
What is always the 1st statement in reason column of a proof?
a)
Prove
b)
Given
c)
Reason
d)
Statement
2.
If DA bisects IE, then
a)
ID=ED
b)
IA=EA
c)
<IDA=<EDA
d)
<IAD and <EAD are right angles
3.
PICK THE CORRECT CONGRUENCE STATEMENT
a)
∆TUV ≅ ∆EUV
b)
∆VUT ≅ ∆UVE
c)
∆TUV ≅ ∆UEV
d)
∆UTV ≅ ∆EUV
4.
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)
5.
What are the two columns labeled in a proof?
a)
Reasons / Proof
b)
Statements / Postulates
c)
Reasons / Given
d)
Statements / Reasons
6.
Can the triangles be proven congruent? If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
7.
Identify the missing statement or reason
a)
Reflexive Property
b)
Definition of Midpoint
c)
Given
d)
Vertical Angles Theorem
8.
Can the triangles be proven congruent? If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
9.
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
10.
Which is the correct reason for statement 2 in the proof?
a)
Given
b)
Transitive Property
c)
Definition of Congruent Angles
d)
Vertical Angles are congruent.
11.
Angles e and d are what type of angles?
a)
Vertical Angles
b)
Corresponding Angles
c)
Alternate Interior Angles
d)
Alternate Exterior Angles
12.
Which of the following is a correct statement and reason for the proof shown?
a)
FG≅FG ; Midpoint Theorem
b)
FG≅FG ; Reflexive
c)
DG≅GE ; Midpoint theorem
d)
DF≅FE ; Definition of a Bisector
13.
Which of the following is a correct statement and reason for the proof shown?
a)
∠APB≅∠CPD ; Vertical
b)
∠A≈∠D ; Alternate Interior
c)
∠C≅∠B ; Alternate Interior
d)
AB≅CD ; Prove
14.
Which of the following is a correct statement and reason for the proof shown?
a)
TM≅ME ; Midpoint Theorem
b)
IM≅MR ; Midpoint Theorem
c)
∠I≅∠R ; Alternate Interior
d)
MI≅MR ; Prove
15.
What is the "statement" for step 3 of the proof?
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
16.
a)
A
b)
B
c)
C
d)
D
17.
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
18.
What is the correct choice for Reason 3?
a)
Vertical Angles are Congruent
b)
Definition of Congruence
c)
Given
d)
Reflexive Property
19.
In this picture, we know for sure that
a)
<TEB=<ETS
b)
<BTE=<SET
c)
BE=ST
d)
Both 1 and 2 are correct
20.
What is the justification?
a)
Symmetric Prop.
b)
Angle addition postulate
c)
Reflexive Prop
d)
Transitive Prop.
100 %
