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Study sets matching "geometry chapter 2"

31 terms
Chapter 2 Geometry Vocab
conclusion
converse
contrapositive
law of syllogism
"then" part of a conditional statement
switch the if and then of a conditional (q -> p)
negate and switch the if and then (not q -> not p)
conclusion
"then" part of a conditional statement
converse
switch the if and then of a conditional (q -> p)
27 terms
Geometry Chapter 2
Venn diagram
locus
inductive reasoning
conjecture
A concept map of overlapping circles or ovals that shows the…
The set of all points that satisfy some given conditions.
The process of observing data, recognizing patterns, and maki…
A generalization resulting from inductive reasoning.
Venn diagram
A concept map of overlapping circles or ovals that shows the…
locus
The set of all points that satisfy some given conditions.
36 terms
Geometry Chapter 2
Inductive Reasoning
Conjecture
Counterexample
Conditional Statement
It is used to draw a conclusion based on a pattern.
A statement that is believed to be true.
It is an example that proves a conjecture or statement is fal…
A statement written in if then form with a hypothesis and con…
Inductive Reasoning
It is used to draw a conclusion based on a pattern.
Conjecture
A statement that is believed to be true.
19 terms
Geometry Chapter 2 Vocabulary
alternate interior angles
conjecture
line
proof by contradiction
inside the parallel lines, opposite sides of the transversal
An educated guess
A straight, unbroken set of points that goes on forever. It h…
a form of proof that establishes the truth or validity of a p…
alternate interior angles
inside the parallel lines, opposite sides of the transversal
conjecture
An educated guess
45 terms
Geometry Chapter 2 Vocabulary
Inductive Reasoning
Conjecture
Counter Example
Conditional Statement
The process of reasoning that a rule or statement is true bec…
A statement that is believed to be true
An example that proves a conjecture or statement false
A statement that can be written in the form "if p then q" whe…
Inductive Reasoning
The process of reasoning that a rule or statement is true bec…
Conjecture
A statement that is believed to be true
20 terms
Chapter 2 Geometry
conjecture
converse
counterexample
deductive reasoning
an educated guess about what will always be true
a statement formed by interchanging the hypothesis and conclu…
a false example that shows a conjecture is not always true
using rules of logic to reach a conclusion
conjecture
an educated guess about what will always be true
converse
a statement formed by interchanging the hypothesis and conclu…
23 terms
Geometry Chapter 2 Terms
counterexample
conjecture
conditional statement
hypothesis
Used to show that a conjecture is false.
a statement you believe to be true based on inductive reasoni…
a statement that can be written in the form "if p, then q"
the part p of a conditional statement following the word if.
counterexample
Used to show that a conjecture is false.
conjecture
a statement you believe to be true based on inductive reasoni…
64 terms
Geometry Chapter 2 Terms
Line
Point
Plane
Space
A "straight" arrangement of an infinite set of points. A stra…
A basic unit of geometry used to represent position or locati…
A flat, two-dimensional surface that extends infinitely far.…
The set of all points.
Line
A "straight" arrangement of an infinite set of points. A stra…
Point
A basic unit of geometry used to represent position or locati…
19 terms
Chapter 2 Geometry vocab
conclusion
converse
contrapositive
syllogism
"then" part of a conditional statement
switch the if and then of a conditional (q -> p)
negate and switch the if and then (~q -> ~p)
conclusion
"then" part of a conditional statement
converse
switch the if and then of a conditional (q -> p)
27 terms
Geometry: Chapter 2 Vocabulary
counterexample
postulate
adjacent angles
complementary angles
an example that proves a statement false
an accepted statement of fact
are a pair of angles with a common vertex and a common side,…
Two angles whose sum is 90 degrees
counterexample
an example that proves a statement false
postulate
an accepted statement of fact
20 terms
Geometry--Chapter 2 Terms
transversal
Angle 2 and Angle 7,... Angle 3 and Angle 6
Angle 1 and Angle 8,... Angle 5 and Angle 4
Angle 1 and Angle 3,... Angle 2 and Angle…
line that intersects two or more other lines in the plane
The horizontal lines are parallel. Identify the alternate int…
The horizontal lines are parallel. Identify the alternate ext…
The horizontal lines are parallel. Identify the corresponding…
transversal
line that intersects two or more other lines in the plane
Angle 2 and Angle 7,... Angle 3 and Angle 6
The horizontal lines are parallel. Identify the alternate int…
21 terms
Geometry Chapter 2 Review
Conditional (p = hypothesis, q = concl…
Converse of conditional
Bioconditional
Law of Detachment
If p, then q... symbolic form p -> q
If q, then p... symbolic form q ->p
p if and only if q... symbolic form p <-->q
Given a true conditional p -> q: If p (hypothesis) is true, t…
Conditional (p = hypothesis, q = concl…
If p, then q... symbolic form p -> q
Converse of conditional
If q, then p... symbolic form q ->p
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
9 terms
Geometry Chapter 2 Vocab
Converse
Inverse
Contrapositive
Hypothesis
q → p
~p → ~q
~q → ~p
the phrase immediately following the word if of a conditional…
Converse
q → p
Inverse
~p → ~q
16 terms
Geometry Chapter 2
Conditional statements
Conclusion
Conjecture
Contrapositive
If p, then q
The part that follows "then" in a conditional statement
a specific statement that is thought to be true but has not b…
Switching the hypothesis and conclusion of a conditional stat…
Conditional statements
If p, then q
Conclusion
The part that follows "then" in a conditional statement
11 terms
RAHS Geometry Chapter 2
Biconditional
Conditional
Conjecture
Contrapositive
A true statement that combines a true conditional and its con…
If-then statement
A conclusion you reach using inductive reasoning.
Negate both the hypothesis (p) and the conclusion(q) of the c…
Biconditional
A true statement that combines a true conditional and its con…
Conditional
If-then statement
26 terms
Geometry: Chapter 2 Vocabulary
counterexample
postulate
adjacent angles
complementary angles
an example that proves a statement false
an accepted statement of fact
are a pair of angles with a common vertex and a common side,…
Two angles whose sum is 90 degrees
counterexample
an example that proves a statement false
postulate
an accepted statement of fact
29 terms
Geometry - Chapter 2 Terms
Conditional Statement
Converse
Inverse
Contrapositive
A logical statement written in "if-then" form.
Switch the "if and then".
The negation of the hypothesis and conclusion in the original…
The negation of the hypothesis and conclusion in the converse.
Conditional Statement
A logical statement written in "if-then" form.
Converse
Switch the "if and then".
20 terms
Geometry Proofs chapter 2
Reflexive Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Addition Property of Equality
a = a
If a = b... Then b = a
If a = b, and b = c ... Then a = c
If a = b ... Then a + 3 = b + 3
Reflexive Property of Equality
a = a
Symmetric Property of Equality
If a = b... Then b = a
14 terms
Chapter 2 - Reasoning in Geometry
Inductive Reasoning
Conjecture
Function Rule
Linear Functions
The process of observing data, recognizing patterns, and maki…
A generalization made from inductive reasoning
The rule that gives the nth term of a sequence
Rules that generate a constant difference
Inductive Reasoning
The process of observing data, recognizing patterns, and maki…
Conjecture
A generalization made from inductive reasoning
33 terms
Geometry Chapter 2
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 example that a conjecture is not true
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
20 terms
Geometry Chapter 2 Vocabulary
conjecture
counterexample
deductive reasoning
inductive reasoning
a statement you believe to be true based on inductive reasoning
a drawing, statement, or number that shows that a conjecture…
the process of using logic to draw conclusions from given fac…
the process of reasoning that a rule or statement is true bec…
conjecture
a statement you believe to be true based on inductive reasoning
counterexample
a drawing, statement, or number that shows that a conjecture…
30 terms
Geometry Chapter 2 Vocabulary
conjecture
counterexample
inductive reasoning
truth value
an educated guess based on known information
an example that shows a conjecture is false. ... EXAMPLE: Someon…
looking at several specific situations to arrive at a conject…
the truth or falsity of a statement (T or F)
conjecture
an educated guess based on known information
counterexample
an example that shows a conjecture is false. ... EXAMPLE: Someon…
20 terms
Chapter 2 Geometry
Condition
Conditional
Hypothesis
Conclusion
Something on which something else depends, a requirement
A statement in the form "If....then..."
The given or "if.... part of a conditional
The "then..." part of a conditional
Condition
Something on which something else depends, a requirement
Conditional
A statement in the form "If....then..."
23 terms
Geometry Chapter 2 Vocabulary
Conditional Statement
Hypothesis
Conclusion
Converse
A statement that can be written in the form "if p then q" whe…
The part of a conditional that follows "if" (p)
The part of a conditional that follows "then" (q)
The statement formed by exchanging the hypothesis and conclus…
Conditional Statement
A statement that can be written in the form "if p then q" whe…
Hypothesis
The part of a conditional that follows "if" (p)
17 terms
Geometry - Chapter 2 Vocabulary
biconditional
conclusion
conditional
conjecture
q
p -> q
a conclusion reached using inductive reasoning
biconditional
conclusion
q
Chapter 2 Geometry Vocabulary
alternate interior angles
area
base
complementary angles
angles that are located on alternate sides of the transversal…
the number of non-overlapping square units needed to cover a…
any side of a triangle to which a height is drawn
two angles whose sum is 90 degrees
alternate interior angles
angles that are located on alternate sides of the transversal…
area
the number of non-overlapping square units needed to cover a…
22 terms
Geometry Chapter 2 Vocabulary
Biconditional
Compound statement
conclusion
conjecture
the combination of a conditional statement and its converse.…
combines two or more statements
the part of an if-then statement (conditional) that follows t…
a conclusion reached by using inductive reasoning
Biconditional
the combination of a conditional statement and its converse.…
Compound statement
combines two or more statements
23 terms
Chapter 2 Geometry Vocabulary (Pearson)
The combination of a conditional state…
A statement formed by combining two or…
The part of an if-then statement (cond…
A statement that includes a hypothesis…
Biconditional
Compound Statement
Conclusion
Conditional
The combination of a conditional state…
Biconditional
A statement formed by combining two or…
Compound Statement
16 terms
Geometry, Chapter 2
Conjecture
Inductive reasoning
Counterexample
Conditional statement
an unproven statement that is based on observations
finding a pattern in a specific case then writing a conjecture
specific case which the conjecture is false
logical statement that has two parts, "if" hypothesis and "th…
Conjecture
an unproven statement that is based on observations
Inductive reasoning
finding a pattern in a specific case then writing a conjecture
21 terms
Geometry: Holt Chapter 2
A→B and B→C... therefore A→C
Given: If X, then Y, and if Y, then Z.…
Angles in a plane that have their vert…
If a=b, then a+c=b+c.
If-then transitive property
If-then transitive property
adjacent angles
addition property of equality
A→B and B→C... therefore A→C
If-then transitive property
Given: If X, then Y, and if Y, then Z.…
If-then transitive property
22 terms
Geometry Chapter 2 Vocabulary
inductive reasoning
conditional statement
hypothesis
conclusion
reasoning based on patterns you observe
if-then statement
"if" part of a conditional statement
"then" part of a conditional statement
inductive reasoning
reasoning based on patterns you observe
conditional statement
if-then statement
23 terms
Geometry Chapter 2
conjecture
counterexample
inductive reasoning
truth value
an educated guess based on known information
an specific example that shows a conjecture is false.
looking at several specific situations to arrive at a conject…
the truth or falsity of a statement (T or F)
conjecture
an educated guess based on known information
counterexample
an specific example that shows a conjecture is false.
40 terms
Geometry, Chapter 2
Inductive Reasoning:
Conjecture:
Counterexample:
Steps for Inductive Reasoning:
Process of reasoning that a rule or statement is true because…
A statement believed to be true based on inductive reasoning
Example that disproves a conjecture (can be a drawing, statem…
Look for a Pattern... Make a Conjecture... Prove the Conjecture or…
Inductive Reasoning:
Process of reasoning that a rule or statement is true because…
Conjecture:
A statement believed to be true based on inductive reasoning
32 terms
Chapter 2 Geometry
Alternate Interior Angles
Area
Arrow Diagram
Base
Angles inside parallel lines and across a transversal that ar…
The number of square units inside a shape.
A picture of a conditional statement.
Meets the height at right angles.
Alternate Interior Angles
Angles inside parallel lines and across a transversal that ar…
Area
The number of square units inside a shape.
10 terms
Geometry: Chapter 2 Vocabulary
inductive reasoning
conjucture
counterexample
conditional statement
A type of reasoning in which a rule or statement is true beca…
A statement you believe to be true based on inductive reasoni…
An example that proves a statement false
A statement that can be written in the form 'if p, then q."
inductive reasoning
A type of reasoning in which a rule or statement is true beca…
conjucture
A statement you believe to be true based on inductive reasoni…
15 terms
Geometry: Chapter 2
Equidistant
If a point is equidistant from the end…
Coincide
Segment Bisector
The same distance
Bisector
Two points that land exactly on top of each other
An object that passes through the mid-point of a segment
Equidistant
The same distance
If a point is equidistant from the end…
Bisector
13 terms
Geometry Theorems Chapter 2
Vertical Angles Theorem
Congruent Supplements Theorem
Congruent Complements Theorem
Right Angle Congruence Theorem
Vertical angles are conguent.
If two angles are supplements of the same angle or a congruen…
If two angles are complements of the same angle, then the two…
All right angles are congruent
Vertical Angles Theorem
Vertical angles are conguent.
Congruent Supplements Theorem
If two angles are supplements of the same angle or a congruen…
23 terms
Geometry Chapter 2
biconditional statement
conclusion
conditional statement
conjecture
A statement that contains the phrase "if and only if"
The "then" part of a conditional statement written in if-then…
A logical statement that has a hypothesis and a conclusion
An unproven statement that is based on observations
biconditional statement
A statement that contains the phrase "if and only if"
conclusion
The "then" part of a conditional statement written in if-then…
45 terms
Geometry Chapter 2 Vocabulary
Inductive Reasoning
Conjecture
Counter Example
Conditional Statement
The process of reasoning that a rule or statement is true bec…
A statement that is believed to be true
An example that proves a conjecture or statement false
A statement that can be written in the form "if p then q" whe…
Inductive Reasoning
The process of reasoning that a rule or statement is true bec…
Conjecture
A statement that is believed to be true
17 terms
Chapter 2 Geometry Vocabulary
Perpendicular
Complementary Angles
Supplementary Angles
Property of Segment Addition
2 lines, rays, or segments that intersect forming a right ang…
2 angles whose measures sum to equal 90 degrees
2 angles whose measures sum to equal 180 degrees
if a segment is added to 2 congruent segments, the sums are c…
Perpendicular
2 lines, rays, or segments that intersect forming a right ang…
Complementary Angles
2 angles whose measures sum to equal 90 degrees
Chapter 2 Geometry Vocabulary
Inductive Reasoning
Deductive Reasoning
Proof
Conditional Statement
The process of forming conjectures that are based on observat…
The process used to get from a set of given facts to a conclu…
A convincing argument that something is true
An "If-then" statement
Inductive Reasoning
The process of forming conjectures that are based on observat…
Deductive Reasoning
The process used to get from a set of given facts to a conclu…
23 terms
Geometry Chapter 2 Vocabulary
biconditional statement
conclusion
conditional statement
conjecture
A statement that can be written in the form "p if and only if…
the part of a conditional statement following the word then
a statement in the form, "If p, then q" where p is the hypoth…
a statement that is believed to be true
biconditional statement
A statement that can be written in the form "p if and only if…
conclusion
the part of a conditional statement following the word then
31 terms
Prentice Hall Geometry: Chapter 2 Vocabulary
counterexample
postulate
adjacent angles
complementary angles
an example that proves a statement false
a statement that describes a fundamental relationship between…
are a pair of angles with a common vertex and a common side,…
Two angles whose sum is 90 degrees
counterexample
an example that proves a statement false
postulate
a statement that describes a fundamental relationship between…
50 terms
Geometry Chapter 2
conjunction
negation
disconjunction
conditional statement
a compound statement formed by joining two or more statements…
a statement tht has the oppositie meaning and truth value of…
a compound statement formed by joining two or more statements…
An if-then statement that is of the form "if p, then q".
conjunction
a compound statement formed by joining two or more statements…
negation
a statement tht has the oppositie meaning and truth value of…
25 terms
Chapter 2 Geometry Vocabulary
Inductive Reasoning
Deductive Reasoning
Proof
Conditional Statement
The process of forming conjectures that are based on observat…
The process used to get from a set of given facts to a conclu…
A convincing argument that something is true
An "If-then" statement
Inductive Reasoning
The process of forming conjectures that are based on observat…
Deductive Reasoning
The process used to get from a set of given facts to a conclu…
25 terms
Geometry Chapter 2: Logic and Reasoning
Inductive Reasoning
The process of observing data, recogni…
Deductive Reasoning
based on known fact
a form a reasoning in which a general "conclusion" is reached…
Inductive Reasoning
using facts, definitions, properties, thereoms, and postulate…
Deductive reasoning
Inductive Reasoning
a form a reasoning in which a general "conclusion" is reached…
The process of observing data, recogni…
Inductive Reasoning
30 terms
Chapter 2 Geometry
Conjecture
Inductive Reasoning
Counterexample
Conditional Statement
A statement you believe to be true based on a pattern
Process of reasoning that a rule or statement is true because…
an example used to support a claim or statement that is the o…
A logical statement that has two parts, a hypothesis and a co…
Conjecture
A statement you believe to be true based on a pattern
Inductive Reasoning
Process of reasoning that a rule or statement is true because…
23 terms
Geometry Chapter 2
Angle Bisector
Adjacent Angles
Bisect
Bisector
A ray that divides an angle into two congruent angles
Two angles which share a vertex and a common side, but have n…
To divide a geometric figure into two congruent parts
The point, ray, line, or plane that bisects a figure
Angle Bisector
A ray that divides an angle into two congruent angles
Adjacent Angles
Two angles which share a vertex and a common side, but have n…
29 terms
Geometry - Chapter 2 Terms
Conditional Statement
Converse
Inverse
Contrapositive
A logical statement written in "if-then" form.
Switch the "if and then".
The negation of the hypothesis and conclusion in the original…
The negation of the hypothesis and conclusion in the converse.
Conditional Statement
A logical statement written in "if-then" form.
Converse
Switch the "if and then".
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