Worksheets5.6 triangle proofs with parallel lines
Total questions: 15
Worksheet time: 49mins
Name
Class
Date
1.
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)
2.
What is reason #3?
a)
SAS
b)
ASA
c)
SSS
d)
AAS
3.
What is statement #4?
a)
∆HFG≅∆IHF
b)
∆FHG≅∆IHF
c)
∆GFH≅∆IFH
d)
∆HFG≅∆IFH
4.
What is reason #2?
a)
Vertical angles are congruent.
b)
Consecutive angles are congruent.
c)
Alternate interior angles are congruent.
d)
Definition of Bisect
5.
What is reason #4?
a)
Reflexive Property
b)
Definition of Midpoint
c)
Vertical angles are congruent.
d)
Given
6.
What is statement #6?
a)
BC≅BC
b)
BC≅DA
c)
∠BCD≅BAC
d)
AB≅CD
7.
What is the "reason" for step 5 of the proof?
a)
Angle Bisector Theorem
b)
Reflexive property
c)
CPCTC Theorem
d)
Proof
8.
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)
9.
What is the "reason" for step 4 of the proof?
a)
proof
b)
AAS
≅ Thrm
≅ Thrm
c)
ASA
≅ Thrm
≅ Thrm
d)
SAS
≅ Thrm
≅ Thrm
10.
What is the "reason" for step 5 of the proof?
a)
Angle Bisector Theorem
b)
Reflexive property
c)
CPCTC Theorem
d)
Proof
11.
What is the "statement" for step 3 of the proof?
a)
HA=HA
b)
HA=AH
c)
MA=AM
d)
MA=MA
12.
Why is ∠KMJ ≌∠LJM?
a)
Alternate Exterior angles are congruent
b)
Alternate Interior Angles are congruent
c)
Corresponding Angles are Congruent
d)
Consecutive Interior angles are supplementary
13.
What congruency postulate proves the triangles congruency?
a)
SAS
b)
ASA
c)
SSS
d)
HL
14.
Which set of angle measures could be the interior angles of a triangle?
a)
25°, 30°, 35°
b)
35°, 60°, 75°
c)
45°, 60°, 75°
d)
60°, 90°, 120°
15.
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
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