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Triangle Proofs

Total questions: 16

Worksheet time: 25mins

Name
Class
Date
1.

What is #3 Reason?

a)

Same Line

b)

Perpendicular Lines

c)

Segment Bisector

d)

Reflexive Property

2.

Which is not a postulate to prove triangle congruence?

a)

AAA

b)

ASA

c)

SSS

d)

SAS

3.
What is always the 1st statement in reason column of a proof?
a)
Prove
b)
Given
c)
Reason
d)
Statement
4.
Angles  e and d are what type of angles?
a)
Vertical Angles
b)
Corresponding Angles
c)
Alternate Interior Angles
d)
Alternate Exterior Angles
5.

Which of the following is a correct statement and reason for the proof shown?

a)

FGFG\overline{FG}\cong\overline{FG} ; Midpoint Theorem

b)

FGFG\overline{FG}\cong\overline{FG} ; Reflexive

c)

DGGE\overline{DG}\cong\overline{GE} ; Midpoint theorem

d)

DFFE\overline{DF}\cong\overline{FE} ; Definition of a Bisector

6.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
7.
Determine if the triangles are congruent, if "yes" state the theorem.
a)
yes, SAS
b)
not congruent
c)
yes, ASA
d)
yes, AAS
8.
Use the congruence statement to find the missing part of the statement
a)
WV
b)
WU
c)
VU
d)
WB
9.
Which is NOT a test to prove triangles congruent?
a)
SAA
b)
SSS
c)
SSA
d)
SAS
10.
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.
11.
Identify the  missing statement or reason
a)
Given
b)
Vertical Angles Theorem
c)
Definition of Angle Bisector
d)
Alternate Interior Angles Theorem
12.
In this picture, we know for sure that
a)
<TEB=<ETS
b)
<BTE=<SET
c)
BE=ST
d)
Both 1 and 2 are correct
13.
What would be the correct "given" statements for this diagram?
a)
T is the midpoint of segment BG and
∡B≅∡G
b)
∡B≅∡G and ∡A≅∡W
c)
T is the midpoint of segment BG and ∡A≅∡W
d)
T is the midpoint of segment AW and ∡A≅∡W
14.
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
15.
If AD bisects <EDI, then
a)
<ADE=<IDA
b)
IA=AE
c)
ID=ED
d)
All of the above
16.
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