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Geometry
Triangle Proof Vocabulary Practice
For #1-6, provide a conclusion and a reason for the given information.
If nothing given, label something that doesn’t have to be given, and
then do the problem.
1.
G
H
L
2. R
Y
W
J
M
N
Given:△GHJ ≊ △NML Conclusion:
Reason:
3.
A
T
Conclusion:
Reason:
G
4.
V
C
E
J
H
Given: AH || GB
B
Conclusion:
Reason:
5.
6.
F
I
U
Given: CU bisects IE
Conclusion:
Reason:
T
M
P
Q
L
N
Conclusion:
Reason:
Given:
K
J
K is the midpoint
of LJ
Conclusion:
Reason:
Geometry
Triangle Proof Vocabulary Practice
For #1-6, provide a conclusion and a reason for the given information.
If nothing given, label something that doesn’t have to be given, and
then do the problem
7.
A
8.
B
X
V
C
D
Given: ABCD is a parallelogram
Conclusion:
Reason:
9.
A
T
S
Given: △TVS ≊ △UXS
Conclusion:
Reason:
10.
R
G
U
S
T
D
W
X
Given: T is the midpoint of WS
Conclusion:
Reason:
C
Given: AD bisects CG
Conclusion:
Reason:
11.
Y
I
Z
12.
J
.
M
B
Conclusion:
Reason:
F
K
Conclusion:
Reason:
L
Triangle Proof Vocabulary
Term
1. Midpoint
What it gives us
Example
two congruent segments
(sides)
C
D
E
F
Given: E is the
midpoint of
DF.
Conclusion: DE≊ EF
Reason: Definition of midpoint
2. Reflexive Property
two congruent sides
W
X
(can be presumed
from picture if present)
Y
Conclusion: WZ≊ ZW
Z
Reason: Reflexive Property
3. Vertical Angles
(can be presumed
from picture if present)
two congruent angles
R
T
S
U
V
Conclusion: <RSU ≊ <TSV
Reason: Vertical Angles
4. Segment Bisector
two congruent segment
(sides)
A
D
C
B
E
Given: AE bisects DB
Conclusion: DC ≊ CB
Reason: Definition of segment bisector
Triangle Proof Vocabulary
Term
5. Parallelogram
What it gives us
Example
two congruent segments or angles
(opposite sides)
or
(opposite angles)
C
D
F
E
Given: CDEF is a parallelogram
Conclusion: CD≊ FE or <C ≊ <E
Reason: opposite sides(or angles)
are ≊
6. Parallel Lines
two congruent angles
(usually alternate interior
or corresponding)
W
X
Y
Given: WX || YZ
Z
Conclusion: <XWZ ≊ <YZW
Reason: Alternate Interior Angles
7. Corresponding Parts of Congruent
Triangles are Congruent(CPCTC)
(triangles must be congruent first)
congruent sides
or
congruent angles
R
U
S
T
V
Given(or proven already): △RSU ≊ △VST
Conclusion: RU ≊ TV or <RUS ≊ <VTS
Reason: CPCTC