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Study sets matching "honors geometry chapter 2"

28 terms
Honors Geometry Chapter 2
Conditional IF THEN
Conditional IMPLIES
Conditional ONLY IF
Conditional IF
IF p THEN q
p IMPLIES q
p ONLY IF q
q IF p... *NOTE SWITCH p and q when IF is the ONLY key word
Conditional IF THEN
IF p THEN q
Conditional IMPLIES
p IMPLIES q
12 terms
Geometry Honors Chapter 2
Perpendicularity
Complimentary Angles
Supplementary Angles
Adjacent Angles
Lines, rays and segments that intersect at right angles
Angles whos sum is 90 degrees
Angles who's sum is 180 degrees
Share a common side or ray
Perpendicularity
Lines, rays and segments that intersect at right angles
Complimentary Angles
Angles whos sum is 90 degrees
33 terms
Geometry Honors Chapter 2
inductive reasoning
conjecture
conditional
counterexample
reasoning based on patterns you observe
a conclusion you reach using inductive reasoning
if p then q
example that proves that a conclusion is not true
inductive reasoning
reasoning based on patterns you observe
conjecture
a conclusion you reach using inductive reasoning
20 terms
Chapter 2 Geometry Honors
conditional statement
hypothesis
conclusion
converse
This has 2 parts, a hypothesis and a conclusion.
The "if" part of a conditional statement
The "then" part of a conditional statement.
This is formed when you switch the hypothesis and conclusion…
conditional statement
This has 2 parts, a hypothesis and a conclusion.
hypothesis
The "if" part of a conditional statement
23 terms
Guebert Geometry Honors Chapter 2
Linear Pair
Perpendicular
Complementary Angles
Supplementary Angles
If ray AB and ray AC are opposite rays and D is a point not o…
Lines, rays, or segments that intersect to form right angles.
Two angles whose sum is 90.... m angle 1 + m angle 2 = 90
Two angles whose sum is 180.... m angle 1 + m angle 2 = 180
Linear Pair
If ray AB and ray AC are opposite rays and D is a point not o…
Perpendicular
Lines, rays, or segments that intersect to form right angles.
40 terms
Honors Geometry, Chapter 2
2.1 Through any two points, there is e…
2.2 Through any three noncollinear poi…
2.3 A line contains at least two points
2.4 A plane contains at least three no…
Line N is the only line through points P and R
Plane K is the only plane through noncollinear points A, B an…
Line N contains points P, Q and R
Plane K contains noncollinear points L, B, C and E
2.1 Through any two points, there is e…
Line N is the only line through points P and R
2.2 Through any three noncollinear poi…
Plane K is the only plane through noncollinear points A, B an…
19 terms
Honors Geometry Chapter 2
perpendicular
complementary angles
supplementary angles
if two angles are supplementary to the…
lines, rays, or segments that intersect at a right angle
if two angles sum is 90 degrees then each of the two angles a…
if two angles sum is 180 degrees then each of the two angles…
perpendicular
lines, rays, or segments that intersect at a right angle
complementary angles
if two angles sum is 90 degrees then each of the two angles a…
30 terms
Honors Geometry Chapter 2
conjecture
inductive reasoning
counterexample
conditional statement
unproven statement that is based on an observation
A type of reasoning that reaches conclusions based on a patte…
specific case for which the conjecture is false
A logical statement that has two parts, a hypothesis and a co…
conjecture
unproven statement that is based on an observation
inductive reasoning
A type of reasoning that reaches conclusions based on a patte…
31 terms
Geometry Honors Chapter 2
inductive reasoning
conjecture
conditional
truth value
reasoning based on patterns you observe
a conclusion you reach using inductive reasoning
if p then q
true or false
inductive reasoning
reasoning based on patterns you observe
conjecture
a conclusion you reach using inductive reasoning
32 terms
Chapter 2 Vocabulary 16-17 Honors Geometry
Inductive Reasoning
Conjecture
Counterexample
Statement
Making a conclusion based on observations and patterns.
A concluding statement reached using inductive reasoning.
An example that shows a conjecture is false.
A sentence that is either true or false.
Inductive Reasoning
Making a conclusion based on observations and patterns.
Conjecture
A concluding statement reached using inductive reasoning.
33 terms
Honors Geometry Chapter 2
conjecture
inductive reasoning
counterexample
conditional statement
an unproven statement that is based on observations
when you find a pattern in specific cases and then write a co…
a specific case for which the conjecture is false
a logical statement that has a hypothesis and a conclusion
conjecture
an unproven statement that is based on observations
inductive reasoning
when you find a pattern in specific cases and then write a co…
9 terms
Honors Geometry: Chapter 2 Vocab
if then statement (conditional stateme…
hypothesis
conclusion
converse
-has a condition containing a hypothesis and a conclusion
-the part following the "if"... -describes the condition necessa…
-the outcome when the hypothesis is present... -the part followi…
-the converse of a conditional is found by switching the hypo…
if then statement (conditional stateme…
-has a condition containing a hypothesis and a conclusion
hypothesis
-the part following the "if"... -describes the condition necessa…
17 terms
Geometry Honors: Chapter 2 Vocabulary
Conditional Statement
If-then form
Negation
Equivalent Statements
A logical statement that has two parts, a hypothesis and a co…
The "if" part contains the hypothesis and the "then" part con…
A statement that is the opposite of the original statement.…
When two statements are both true or both false.
Conditional Statement
A logical statement that has two parts, a hypothesis and a co…
If-then form
The "if" part contains the hypothesis and the "then" part con…
6 terms
Honors Geometry Definitions Chapter 2
Complementary Angles
Supplementary Angles
Adjacent Angles
Linear Pair
2 angles where the sum of their measures is 90
2 angles where the sum of their measures is 180
2 angles with a common side
A pair of adjacent angles where the non-common sides form a l…
Complementary Angles
2 angles where the sum of their measures is 90
Supplementary Angles
2 angles where the sum of their measures is 180
11 terms
Geometry Honors Chapter 2
conditional statements
converse of a conditional statement
hypothesis
conclusion
a statement whose basic form is if p then q. ... made up of hyp…
changing of the hypothesis and conclusion from the original s…
part of a conditional statement ... (after if)
part of a conditional statement... (after then)
conditional statements
a statement whose basic form is if p then q. ... made up of hyp…
converse of a conditional statement
changing of the hypothesis and conclusion from the original s…
44 terms
Honors Geometry Chapter 2 Vocabulary
Inductive Reasoning
Conjecture
Counterexample
Statement
Forming conjectures on the basis of observation.
A statement believed to be true.
An example that proves a statement is false.
A sentence that is either true or false.
Inductive Reasoning
Forming conjectures on the basis of observation.
Conjecture
A statement believed to be true.
46 terms
Honors Geometry Chapter 2 Review
Conditional Statements
Hypothesis
Conclusion
Shorthand for conditional statements
An "If...then" statement.
The "If" part of a conditional statement.... (Does not include t…
The "Then" part of a conditional statement... (Does not include…
"p-->q" ... Read as: "If P then Q" or... "P implies Q"
Conditional Statements
An "If...then" statement.
Hypothesis
The "If" part of a conditional statement.... (Does not include t…
14 terms
Geometry Honors Chapter 2
Conjecture
Indeductive Reasoning
Counterexample
Conditional statement... a. converse... b.…
A statement that is believed to be true but not yet proved.
A form of reasoning in which a conclusion is reached based on…
Counterexample is an example that is used to disprove a state…
symbolized by p q, is an if-then statement in which p is a hy…
Conjecture
A statement that is believed to be true but not yet proved.
Indeductive Reasoning
A form of reasoning in which a conclusion is reached based on…
19 terms
Geometry Honors Chapter 2
perpendicular
complementary angles
supplementary angles
if two angles are supplementary to the…
lines, rays, or segments that intersect at a right angle
if two angles sum is 90 degrees then each of the two angles a…
if two angles sum is 180 degrees then each of the two angles…
perpendicular
lines, rays, or segments that intersect at a right angle
complementary angles
if two angles sum is 90 degrees then each of the two angles a…
27 terms
Honors Geometry: Chapter 2
five things that can be used as reason…
reflexive property
symmetric property
transitive property
given, properties, definitions, postulates, theorem
ab=ab
if a=b, then b=a
if a=b and b=c then a=c
five things that can be used as reason…
given, properties, definitions, postulates, theorem
reflexive property
ab=ab
14 terms
Honors geometry chapter 2
Congruency of supplementary angles (Th…
Supplementary congruent angles... (Theore…
Congruent complementary angles (Theore…
Congruency of complementary angles (Th…
If angles that are supp. To the same angle then they are cong…
If angles are supp. to congruent angles then, they are congru…
If angles complementary to the same angle, then they are cong…
If angles are complementary to congruent angles then they are…
Congruency of supplementary angles (Th…
If angles that are supp. To the same angle then they are cong…
Supplementary congruent angles... (Theore…
If angles are supp. to congruent angles then, they are congru…
14 terms
Geometry Honors Chapter 2
Conjecture
Inductive Reasoning
Counterexample
Conditional Statement... a. Converse... b.…
A statement that is believed to be true but not yet proved
A statement about geometry that is accepted as true without p…
an example that is used to disprove a statement.
symbolized by p q, is an if-then statement in which p is a hy…
Conjecture
A statement that is believed to be true but not yet proved
Inductive Reasoning
A statement about geometry that is accepted as true without p…
11 terms
Honors Geometry Theorems Chapter 2
Theorem (Number Unknown, Coplanar perp…
All rt ∠'s are ≅
Midpoint Theorem
Angle Bisector Theorem
If P is an element of line l, then there exists only one uniq…
If ∠1 and ∠2 are right angles, then ∠1≅∠2
If M is the midpoint of segment AB, then AM=1/2(AB) and 2AM=AB
If ray BP bisects ∠ABC, then m∠ABP=1/2(m∠ABC) and 2m∠ABP=m∠ABC
Theorem (Number Unknown, Coplanar perp…
If P is an element of line l, then there exists only one uniq…
All rt ∠'s are ≅
If ∠1 and ∠2 are right angles, then ∠1≅∠2
16 terms
Geometry Honors Chapter 2
Inductive Reasoning
Deductive Reasoning
Conjecture
Counterexample
Reach a conclusion based on analysis of a pattern; doesn't us…
Involves the usage of rules and formulas; uses the "n" in pat…
Unproven statement based on examples in a pattern ... Example:…
Example that disproves the conjecture (makes it not true) ... E…
Inductive Reasoning
Reach a conclusion based on analysis of a pattern; doesn't us…
Deductive Reasoning
Involves the usage of rules and formulas; uses the "n" in pat…
10 terms
Honors Geometry Chapter 2
inductive reasoning
deductive reasoning
conjecture
conditional statement
the process of observing data, recognizing patterns, and maki…
the process of showing that certain statements follow logical…
a generalization based on inductive reasoning
if/then statement
inductive reasoning
the process of observing data, recognizing patterns, and maki…
deductive reasoning
the process of showing that certain statements follow logical…
25 terms
Honors Geometry Chapter 2
IF-THEN Statements
IF
THEN
Symbolic Representation of an IF-THEN…
They are also called CONDITIONAL STATEMENTS
HYPOTHESIS
CONCLUSION
Hypothesis "p"... Conclusion "q"... -If P, Then Q
IF-THEN Statements
They are also called CONDITIONAL STATEMENTS
IF
HYPOTHESIS
22 terms
Chapter 2 Honors Geometry
Perpendicular
Oblique lines
Coordinate axes
Orthogonal
Lines, rays, segments that intersect at right angles
Lines, Rays, segments, that intersect but not at right angles
Perpendicular examples?
Perpendicular...AKA:
Perpendicular
Lines, rays, segments that intersect at right angles
Oblique lines
Lines, Rays, segments, that intersect but not at right angles
24 terms
Honors Geometry Chapter 2
inductive reasoning
conjecture
counterexample
statement
reasoning that uses a number of specific examples to arrive a…
concluding statement reached using inductive reasoning
false example that can be a drawing, number, or statement
sentence that is either true or false
inductive reasoning
reasoning that uses a number of specific examples to arrive a…
conjecture
concluding statement reached using inductive reasoning
25 terms
Geometry Honors: Chapter 2
conditional statement
hypothesis
conclusion
converse
statement that can be written in the form "if p, then q."... p o…
part p of a conditional statement following the word if
part q of a conditional statement following the word then
statement found formed by exchanging he hypothesis and conclu…
conditional statement
statement that can be written in the form "if p, then q."... p o…
hypothesis
part p of a conditional statement following the word if
Honors geometry chapter 2
Conditional statement
Converse
Inverse
Contrapositive
If a, then b.
If b, then a.
If not a, then not b.
If not b, then not a.
Conditional statement
If a, then b.
Converse
If b, then a.
23 terms
Chapter 2 Honors Geometry
Conjecture
Inductive reasoning
Counter-example
Statement
An educated guess based on known information
Using several specific situations to arrive at a conjecture
An example that shows that the conjecture is false
Any sentence that is either true or false
Conjecture
An educated guess based on known information
Inductive reasoning
Using several specific situations to arrive at a conjecture
14 terms
Honors Geometry: Chapter 2
Conditional Statements
Converse
Biconditional
Reflexive Property
Hypothesis & Conclusion
conditional formed by switching the order (aren't always true)
REVERSIBLE: postulates, theorems and definitions are bicondit…
a=a or a is congruent to a
Conditional Statements
Hypothesis & Conclusion
Converse
conditional formed by switching the order (aren't always true)
19 terms
Honors Geometry: Chapter 2
conditional statement
if-then statement
hypothesis
conclusion
statement that can be written in if-then form
written in the form if p, then q
the phrase immediately following the word if
the phrase immediately following the word then
conditional statement
statement that can be written in if-then form
if-then statement
written in the form if p, then q
33 terms
Honors Geometry Chapter 2
conjecture
inductive reasoning
counterexample
conditional statement
an unproven statement that is based on observations
when you find a pattern in specific cases and then write a co…
a specific case for which the conjecture is false
a logical statement that has a hypothesis and a conclusion
conjecture
an unproven statement that is based on observations
inductive reasoning
when you find a pattern in specific cases and then write a co…
14 terms
Honors Geometry Chapter 2 Vocabulary
Complement
Complementary angle
Coordinates
Oblique lines
the two angles whose sums are 90° are complements of each oth…
either of two angles whose sum is 90°.
a group of numbers used to indicate the position of a point,…
When two lines intersect but are not perpendicular.
Complement
the two angles whose sums are 90° are complements of each oth…
Complementary angle
either of two angles whose sum is 90°.
22 terms
Honors Geometry Chapter 2 Vocab
Conjecture
Inductive Reasoning
Counterexample
Conditional Statement
An unproven statement based on observations
When you find a pattern in specific cases and then write a co…
A specific case where a conjecture is false
A logical statement that has a Hypothesis and a Conclusion
Conjecture
An unproven statement based on observations
Inductive Reasoning
When you find a pattern in specific cases and then write a co…
36 terms
Honors Geometry- Chapter 2 Terms
inductive reasoning
conjecture
counterexample
conjunction
reasoning that uses a number of specific examples to arrive a…
conclusion based upon inductive reasoning
one example that shows the conjecture is false
when both the hypothesis and the conclusion must be true for…
inductive reasoning
reasoning that uses a number of specific examples to arrive a…
conjecture
conclusion based upon inductive reasoning
30 terms
Honors Geometry Chapter 2 Vocabulary
Conditional statement
Hypothesis
Conclusion
Converse
If-then statements
If p, p is hypothesis
If p, then q. q is conclusion
Interchange the hypothesis and the conclusion
Conditional statement
If-then statements
Hypothesis
If p, p is hypothesis
23 terms
Honors Geometry Chapter 2 Vocab
inductive reasoning
conjecture
counterexample
conditional statement
the process of reasoning that a rule or statement is true bec…
a statement you believe to be true based on inductive reasoning
the one example that proves the conjecture false
a statement that can be written in the form "if p, then q"
inductive reasoning
the process of reasoning that a rule or statement is true bec…
conjecture
a statement you believe to be true based on inductive reasoning
9 terms
Geometry Honors Vocab Chapter 2
Hypothesis
Conclusion
Converse
Counterexample
Part following "if"
Part following "then"
Switches the hypothesis and the conclusion in a conditional s…
Shows a conditional is false... Hypothesis is true but conclusi…
Hypothesis
Part following "if"
Conclusion
Part following "then"
32 terms
honors geometry chapter 2 terms
Conditional
conditional symbol
hypothesis
conclusion
if-then statement
p -> q
the part that follows "if" (p)
the part that follows "then" (q)
Conditional
if-then statement
conditional symbol
p -> q
23 terms
Geometry Honors Chapter 2-3
Consecutive Interior Angles
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Interior angles that lie on the same side of transveral
nonadjacent interior angles that lie on opposite sides of tra…
nonadjacent exterior angles that lie on opposite sides of tra…
lie on the same side of traversal and on the same lines
Consecutive Interior Angles
Interior angles that lie on the same side of transveral
Alternate Interior Angles
nonadjacent interior angles that lie on opposite sides of tra…
15 terms
Honors Geometry Chapter 2-8
Reflexive Property of Congruence (Theo…
Symmetric Property of Congruence (Theo…
Transitive Property of Congruence (The…
Congruent Supplements (Theorem)
Angle 1 = Angle 1
If Angle 1 = Angle 2, then Angle 2 = Angle 1
If Angle 1 = Angle 2 and Angle 2= Angle 3, then Angle 1 = Ang…
Angles supplementary to the same angle or to congruent angles…
Reflexive Property of Congruence (Theo…
Angle 1 = Angle 1
Symmetric Property of Congruence (Theo…
If Angle 1 = Angle 2, then Angle 2 = Angle 1
Honors Geometry Chapter 2
Deductive system
Undefined terms
Definitions
Postulates
based upon logical statements
such as point, line, and plane
if and only if statements
statements accepted without proof
Deductive system
based upon logical statements
Undefined terms
such as point, line, and plane
42 terms
Geometry Honors Chapter 2
Inductive reasoning
Conjecture
Counterexample
conditional
reasoning baed on patterns you observe
a conclusion you reach using inductive reasoning
an example that shows a conjecture is correct
an if-then statement (p implies q)
Inductive reasoning
reasoning baed on patterns you observe
Conjecture
a conclusion you reach using inductive reasoning
17 terms
Honors geometry chapter 2
Compound statement
Conjecture
Disjunction
Inverse
A statement formed by joining two or more statements
An educated guess based on known information
A compound statement formed by joining two or more statements…
The statement formed by negating both the hypothesis and conc…
Compound statement
A statement formed by joining two or more statements
Conjecture
An educated guess based on known information
18 terms
honors geometry chapter 2
inductive reasoning
conjecture
counter example
conditional
reasoning based on patterns you observe
a conclusion you reach using inductive reasoning
an example that shows a conjecture is incorrect
an if-then statement using the symbol p-->q
inductive reasoning
reasoning based on patterns you observe
conjecture
a conclusion you reach using inductive reasoning
21 terms
Honors Geometry Chapter 2
Inductive Reasoning
Conjecture
Statement
Truth value
Reasoning that uses a number of specific examples to arrive a…
A concluding statement reached using inductive reasoning
A sentence that is either true or false
Whether the statement is true or false
Inductive Reasoning
Reasoning that uses a number of specific examples to arrive a…
Conjecture
A concluding statement reached using inductive reasoning
9 terms
Honors Geometry: Chapter 2
reflexive property of eq.
symmetric prop of eq.
transitive prop of eq.
substitution prop of eq.
a = a
If a=b, then b=a
if a=b and b=c, then a=c
if a=b, then you can substitute b for a in an equation
reflexive property of eq.
a = a
symmetric prop of eq.
If a=b, then b=a
8 terms
Honors Geometry - Chapter 2 Postulates & Theorems
Law of Detachment
Law of Syllogism
Properties of Congruence
Vertical Angles Theorem
If a conditional is true and its hypothesis is true, then its…
If p→q and q→r are true statements, then p→r is a true statem…
Reflexive Property: AB≅AB and ∠A≅∠A. Symmetric Property: If A…
Vertical angles are congruent.
Law of Detachment
If a conditional is true and its hypothesis is true, then its…
Law of Syllogism
If p→q and q→r are true statements, then p→r is a true statem…
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