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WorksheetsTriangle Congruence Proofs
Total questions: 24
Worksheet time: 24mins
Name
Class
Date
1.
What is #4 Statement?
a)
All of correct
b)
SP ≌ SP
c)
PS ≌ SP
d)
PS ≌ PS
2.
What is #5 Statement?
a)
∠QPR ≌ ∠STR
b)
∠PQR ≌ ∠STR
c)
∠QRP ≌ ∠TSR
d)
∠QRP ≌ ∠TRS
3.
What is #4 Reason?
a)
Alternate Interior Angles
b)
Vertical Angles
c)
Reflexive Property
d)
Angle Bisector
4.
What is the "statement" for step 2 of the proof?
a)
∆BAC≅∆DAC
b)
BC=DC
c)
∡B≅∡D
d)
∡BAC≅∡DAC
5.
What is the "statement" for step 3 of the proof?
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
6.
What is #2 Reason?
a)
Perpendicular Lines
b)
Perpendicular Bisector
c)
Reflexive Property
d)
Segment Bisector
7.
What is the "statement" for step 2 of the proof?
a)
AD=AD
b)
AD=DA
c)
HD=DN
d)
HA = AN
8.
What is the "reason" for step 3 of the proof?
a)
Proof
b)
Def. of Midpoint
c)
Reflexive Property
d)
Vertical angle Theorem
9.
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
10.
What are #3 & #4 Statements?
a)
#3 - Reflexive Property
#4 - Alternate Interior Angles
b)
#3 - Reflexive Property
#4 - Vertical Angles
c)
#3 - Segment Bisector
#4 - Vertical Angles
d)
#3 - Segment Bisector
#4 - Reflexive Property
11.
What is #3 Reason and #4 Statement?
a)
#3 - Reflexive Property
#4 - ∠ACB ≌ ∠ECD
b)
#3 - Definition of Midpoint
#4 - ∠ACB ≌ ∠ECD
c)
#3 - Segment Bisector
#4 - ∠BCA ≌ ∠DCE
d)
#3 - Reflexive Property
#4 - ∠BCA ≌ ∠DCE
12.
When using hypotenuse leg (HL) in a proof, you must first state ...
a)
CPCTC.
b)
there are right triangles.
c)
that vertical angles are congruent.
d)
the reflexive property.
13.
What is statement #1?
a)
BC≅DC
b)
AC≅EC
c)
BC≅DC, AC≅EC
d)
∆BCA≅∆DCE
14.
What is statement #2?
a)
∠ABC≅∠EDC
b)
∠BCA≅∠DCE
c)
BC≅CD
d)
∠E≅∠A
15.
What is reason #3?
a)
SAS
b)
ASA
c)
SSS
d)
AAS
16.
What is reason #1?
a)
Reflexive Property
b)
Definition of Bisect
c)
Prove
d)
Given
17.
What is reason #2?
a)
Definition of Midpoint
b)
Definition of Perpendicular
c)
Definition of Bisect
d)
Definition of Right Triangle
18.
What is statement #3?
a)
FH≅FH
b)
GF≅GF
c)
IH≅IH
d)
GF≅FI
19.
What is statement #4?
a)
∆HFG≅∆IHF
b)
∆FHG≅∆IHF
c)
∆GFH≅∆IFH
d)
∆HFG≅∆IFH
20.
What is reason #4?
a)
ASA
b)
SAS
c)
HL
d)
AAS
21.
What is statement #1?
a)
AB≅DC
b)
AC≅AC
c)
AB∥DC
d)
∠A≅∠C
22.
What is reason #2?
a)
Vertical angles are congruent.
b)
Consecutive angles are congruent.
c)
Alternate interior angles are congruent.
d)
Definition of Bisect
23.
What is statement #3?
a)
AD≅BC
b)
∠B≅∠D
c)
AC≅AC
d)
∠DCA≅∠BAC
24.
What is reason #4?
a)
Reflexive Property
b)
Definition of Midpoint
c)
Vertical angles are congruent.
d)
Given
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