To the video! Important Properties for Proofs - Geometry
Name______________________
[PACKET 2.3: WRITING PROOFS] 1
Write your questions here!
More
proofs!
This
time,
no
"fill
in
the
blanks."
To the video!
Important Properties for Proofs
Addition Property
Reflexive Property
Substitution Property
Subtraction Property
Symmetric Property
Combining Like Terms
Multiplication Property
Transitive Property
Simplification
Division Property
Distributive Property
All right angles @
Angle Addition Postulate
Vertical Angles are @
Segment Addition Postulate
"Definition of___________" (Bisector, Midpoint, Complementary, Supplementary, etc.)
Example #1
This
list
will
grow
as
we
continue
through
Geometry
this
year.
Directions: Complete the following proofs.
Statement
Given: -100 ? (4x ? 2) = -94 Prove: x = -1
Reason
1.
1.
2.
2.
3.
3.
4.
4.
5.
5.
Remember,
the
first
statement
will
always
be
the
given
while
the
last
statement
should
always
be
what
you
need
to
prove.
Example #2
2
PACKET 2.3: WRITING PROOFS
Write your questions here!
m
1 4
2 3
Given: 1 4 Prove: 2 3
Example #3
3
Given: 2 5 Prove: 4 8
2
1.
2. 3. 4.
5. 6.
1
Given: Prove:
1 and 2 are supplementary 2 and 3 are supplementary 1 3
1. 2. 3. 4. 5. 6.
Example #4
[PACKET 2.3: WRITING PROOFS] 3
Solve each equation for x!
Multiply!
1. 12x ? 3 = -3 2.
5x + -2 = 3x - 4 3.
2x(2x ? 1)
Factor!
4. 3x2 ? 12x
5. Graph
the
equation:
y = 4 - x
6. Graph
the
equation:
x = -3
Proof #1
Practice 2.3: Writing Proofs
Support
each
statement
by
writing
a
conclusion
with
a
valid
reason.
1. Given:
2x = 72
2. Given:
. 3.
Given:
X is the midpoint of
Conclusion:
_________________ Conclusion:
____________
Conclusion:
______________
Reason:_________________
Reason:_________________
Reason:_________________
Directions: Complete the following proofs.
Given: 10x + 4 = 44
Statement
1. 2. 3 .
Prove: x = 4
Reason
1. 2. 3.
Given: 10x + 42 = 20 ? x
Statement
1. 2. 3. 4.
Prove: x = -2
Reason
1. 2. 3. 4.
Proof #4
Proof #2
Given: 1 - x = 11
Statement
1. 2. 3.
Prove: x = -10
Reason
1. 2. 3.
Given: 6x - (4x ? 1) = 2
Statement
1. 2. 3. 4. 5.
Prove: x = ?
Reason
1. 2. 3. 4. 5.
Proof #3
4
PACKET 2.3: WRITING PROOFS
Proof #5
Given: 13 ? 4(x ? 2) - 41 = 0
Statement
1. 2. 3. 4. 5. 6.
Prove: x = -5
Reason
1. 2. 3. 4. 5. 6.
Application 2.3: Introduction To Proofs
Proof #1
Given: -3(4 ? x) = 12
Statement
1. 2. 3 . 4.
Prove: x = 8
Reason
1. 2. 3. 4.
Support
each
statement
by
writing
a
conclusion
with
a
valid
reason.
2. Given:
30x = 300
Conclusion:
____________
Reason:
_______________
Proof #3
Given: b g Prove: f c
................
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