Transcript Chapter 2 Review

Chapter 2 Review
Conditional statements
have a IF and a THEN.
Hypothesis
Conclusion
2
If you are in Mrs. Buric’s Geometry
class, then you love Math!
Hypothesis:
you are in Mrs. Buric’s Geometry class
Conclusion: you love Math
3
Converse
A converse is a statement that
switches the hypothesis and
the conclusion.
4
Converse
If you love Math, then you are in Mrs. Buric’s
Geometry class!
5
Counterexamples
An example that with given the
hypothesis makes the
conclusion false
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Counterexample
If you can fly, then you are a bird.
Insects
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A biconditional is a statement
where the conditional and
the converse are both true!
“p if and only if q” (biconditional)
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Example:
Conditional: An angle is right if it
measures 90 degrees.
TRUE!
Converse: An angle measures 90
degrees if it is a right angle.
TRUE!
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Complementary angles
• Add up to 90 degrees
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Supplementary angles
• Add up to 180 degrees
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Perpendicular Lines are
two lines that intersect
to form right angles (90
degrees).
Addition Property
If a = b and c = d,
then a + c = b + d
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Subtraction Property
If a = b and c = d,
then a - c = b - d
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Multiplication Property
If a = b,
then ac = bc
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Division Property

If a = b and c 0,
then a/c = b/c
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Substitution Property
If a = b,
Then either a or b may
be substituted for the
other in any equation
or inequality
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Reflexive Property
a=a
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Symmetric Property
If a = b,
Then b = a
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Transitive Property
If a = b and b =c,
Then a = c
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Distributive Property
a(b + c) =ab +ac
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Reflexive Property
DE  DE
<D  <D
Transitive Property
If DE
 FG and FG  JK
then
DE  JK
Theorem
If two lines are
perpendicular, then they
form congruent adjacent
angles.
Theorem
If the exterior sides of two
adjacent acute angles are
perpendicular, then the
angles are complementary.
Theorem
If
two angles are
supplements of congruent
angles (or of the same
angle), then the two angles
are congruent.
Theorem
If
two angles are complements of
congruent angles (or of the same
angle), then the two angles are
congruent.
Homework
Pg
626
1-11 ALL
PG
627
1-11 ALL