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WorksheetsIntro to Proofs Geometry
Total questions: 26
Worksheet time: 47mins
Name
Class
Date
1.
Angles a and e are what type of angles?
a)
Vertical Angles
b)
Corresponding Angles
c)
Alternate Interior Angles
d)
Alternate Exterior Angles
2.
Angles e and d are what type of angles?
a)
Vertical Angles
b)
Corresponding Angles
c)
Alternate Interior Angles
d)
Alternate Exterior Angles
3.
Fill in the missing proofs.
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Reflexive Property, Vertical Angles Thm.
d)
Transitive Property, SSS(Side-Side-Side)
4.
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 is the "statement" for step 3 of the proof?
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
6.
What is the "reason" for step 4 of the proof?
a)
proof
b)
AAS
≅ Thrm
≅ Thrm
c)
ASA
≅ Thrm
≅ Thrm
d)
SAS
≅ Thrm
≅ Thrm
7.
What is the "statement" for step 2 of the proof?
a)
∆BAC≅∆DAC
b)
BC=DC
c)
∡B≅∡D
d)
∡BAC≅∡DAC
8.
What is the "reason" for step 4 of the proof?
a)
SAS
≅ theorem
≅ theorem
b)
ASA
≅ theorem
≅ theorem
c)
SSA
≅ theorem
≅ theorem
d)
CPTCT
theorem
theorem
9.
What is the "reason" for step 5 of the proof?
a)
Vertical Angle Theorem
b)
proof
c)
def. of angle bisector
d)
CPCTC Theorem
10.
What is the "statement" for step 3 of the proof?
a)
AD=DA
b)
AD=AD
c)
HD=ND
d)
HD=DN
11.
What is the "statement" for step 2 of the proof?
a)
AD=AD
b)
AD=DA
c)
HD=DN
d)
HD=ND
12.
Determine if the triangles are congruent, if "yes" state the theorem.
a)
yes, SAS
b)
not congruent
c)
yes, ASA
d)
yes, AAS
13.
Determine if the triangles are congruent, if "yes" state the theorem.
a)
not congruent
b)
yes, SSS
c)
yes, SAS
d)
yes, ASA
14.
Determine if the triangles are congruent, if "yes" state the theorem.
a)
yes, AAS
b)
yes, SAS
c)
yes, ASA
d)
not congruent
15.
What is the "statement" for step 2 of the proof?
a)
∡JHI≅∡JKL
b)
JL=JI
c)
∡H≅∡K
d)
HI=KL
16.
What is the "reason" for step 3 of the proof?
a)
Proof
b)
Def. of Midpoint
c)
Reflexive Property
d)
Vertical angle Theorem
17.
What is the "statement" for step 3 of the proof?
a)
∡JKL≅∡JHI
b)
JI=JL
c)
∡KJL≅∡HJI
d)
∡JLK≅∡JIH
18.
What is the "reason" for step 5 of the proof?
a)
Angle Bisector Theorem
b)
Reflexive property
c)
CPCTC Theorem
d)
Proof
19.
What is the "statement" for step 3 of the proof?
a)
HA=HA
b)
HA=AH
c)
MA=AM
d)
MA=MA
20.
What is the "statement" for step 4 of the proof?
a)
∡MAH≅∡THA
b)
∆MHA≅∆THA
c)
HM=AT
d)
∆MAH≅∆THA
21.
What is the "statement" for step 5 of the proof?
a)
HM=AT
b)
HM=TA
c)
∆MAH≅∆THA
d)
∡MAH≅∡THA
22.
What would be the correct "given" statements for this diagram?
a)
T is the midpoint of segment BG and
∡B≅∡G
∡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
23.
What would be the correct "given" statements for this diagram?
a)
∡A≅∡C, and segment DB is the angle bisector of ∡CDA
b)
BD=BD, and DB=DB
c)
∡A≅∡C, and segment DB is the angle bisector of ∡CBA
d)
∡B≅∡D, segment DB is the angle bisector of ∡DCA.
24.
Which of the following is not a valid reason to prove congruent triangles?
a)
SSA
b)
AAS
c)
SAS
d)
SSS
25.
Determine if the triangles are congruent, if "yes" state the theorem.
a)
not congruent
b)
yes, SSS
c)
yes, ASA
d)
yes, SAS
26.
Determine if the triangles are congruent, if "yes" state the theorem.
a)
yes, ASA
b)
yes, AAS
c)
not congruent
d)
yes, SAS
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