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8th- Geometry > Unit 2 > Flashcards

Unit 2 Flashcards

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1
Q

Inductive reasoning

A

reasoning that uses a number of examples to arrive at a conclusion

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2
Q

conjecture

A

educated guess that is derived from inductive reasoning

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3
Q

counterexample

A

an example that shows a conjecture is False

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4
Q

Negation

A

A negation of a statement has the opposite truth value
shows by -p

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5
Q

conditional statement

A

A statement that can be written in if-then form

ex: p—->q

includes hypothesis + conclusion

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6
Q

Inverse

A

formed by negating the hypothesis and conclusion

-p —-> -q

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7
Q

Converse

A

Formed by switching the hypothesis and conclusion

Symbolic form= if q ———-> p

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8
Q

Contrapositive

A

Formed by negating and switching the hypothesis and conclusion

symbolic form= -q —–> -p

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9
Q

Equivalent statements

A

When two statements are both true or false

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10
Q

Which statements are logically equivalent

A

conditional and contrapositive

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11
Q

Which statements are logically equivalent when false

A

converse and inverse

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12
Q

Bi-conditional statements

A

The Conjunction of a conditional and it’s converse

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13
Q

Symbolic form of a bi-conditional

A

p <—-> q

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14
Q

When can you write a bi-conditional statement

A

when conditional and converse are true

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15
Q

Deductive reasoning

A

Using

facts
definitions
properties
laws of logic

to form a conjecture

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16
Q

Law of Detachment

A

If the hypothesis is true, then the conclusion is true

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17
Q

Law of Syllogism

A

Allos you to drow a conclusion from 2 conditional statements in which the conclusion of the first statement is the hypothesis of the 2nd statement

p-q
q-r
p-r

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18
Q

Addition Property of = def.

A

if a=b, then a+c = b+c

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19
Q

Subtraction property of equality

A

if a=b, then a -c = b - c

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20
Q

Multiplication prop of equality

A

if a=b, then ac=bc

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21
Q

Division prop of equality

A

If a=b + is not 0, then a/c=b/c

22
Q

Substitution prop of equality

A

If a=b then a may be replaced by b in any expression or equation

23
Q

What is substitution useful for

A

for values

24
Q

Reflexive prop

A

a=a

25
Q

Symmetric prop

A

a=b then b=a

26
Q

Transitive prop

A

a=b and b=c then a=c

27
Q

What can be used as reasons for two-column proofs

A

definition
Postulates
Theorems
Properties

28
Q

Reflexive property of congruence

A

for any segment AB, Segment AB= Segment AB

29
Q

Defintion of Congruence

A

Segment AB= Segment CD, then AB=CD

30
Q

Definition of a Midpoint

A

If M is the midpoint of AB, then AM=MB

31
Q

Def. of Def. of Segment Bisector

A

If a segment is bisected, then the segment is cut into two equal parts

32
Q

Def. of Complementary angles

A

Complementary <—-> Sum is 90 degrees

33
Q

Def. of Supplementary angles

A

Supplementary <—-> Sum is 180

34
Q

Def. of Perpendicular

A

Perpendicular lines form a right anle

35
Q

=, congruence sign, or words

Defintion of congruence

A

both = and congruence

36
Q

=, congruence sign, or words
Definition of Angle Bisector

A

both = and congruence

37
Q

=, congruence sign, or words
Definition of Complementary angles

A

=

38
Q

=, congruence sign, or words

Definition of SUpplementary angles

A

=

39
Q

=, congruence sign, or words

Definition of Perpendicular

A

words

40
Q

Definition of a Right Angle

A

A right angle= 90 degree

41
Q

=, congruence sign, or words

Definition of Right angle

A

=

42
Q

=, congruence sign, or words

Angle Addition Postulate

A

=

43
Q

Vertical angles theorem

A

if two angles are vertical, they are congruent

44
Q

=, congruence sign, or words

VAT

A

congruent sign

45
Q

Complement Theorem

A

If two angles form a right angle, then they are complementary

Right Angle ——> Complementary

46
Q

Supplement Theorem

A

If two angles form a linear pair, then they are supplementary

Linear Pair—-> Supplementary

47
Q

Congruent Complements Theorem

A

If angle A is complementary to B and C is complementary to B then A=C

48
Q

Congruent Supplements Theorem

A

If angle A is supplementary to B and C is supplementary to B, then A=C

49
Q

=, congruence sign, or words

Complement Theorem

A

Words

49
Q

=, congruence sign, or words

Congruent Complements theorem

A

congruence sign

49
Q

=, congruence sign, or words

Supplement Theorem

A

words

50
Q

=, congruence sign, or words

Congruent Supplements theorem

A

Congruence sign

8th- Geometry (4 decks)

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