Study sets matching "chapt 2 3 geometry"

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Study sets matching "chapt 2 3 geometry"

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)
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…
40 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
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…
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.
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…
Geometry Chapter 2&3
Inductive Reasoning
Conjecture
Counter-Example
Statement
Reasoning that uses a number of specific examples to arrive a…
A concluding statement reached using inductive reasoning
A false example to show that a conjecture is not true. Can be…
A sentence that is either true or false. Can be represented b…
Inductive Reasoning
Reasoning that uses a number of specific examples to arrive a…
Conjecture
A concluding statement reached using inductive reasoning
Geometry Chapter 2-3
conditional statement
if then statement
hypothesis
conclusion
A statement that can be written in if-then form.
a statement with two parts if part that contains the hypothes…
Phrase immediately following the word "if"
Phrase immediately following the word "and"
conditional statement
A statement that can be written in if-then form.
if then statement
a statement with two parts if part that contains the hypothes…
24 terms
Geometry Chapter 2
Inductive Reasoning
Counterexample
Conditional Statements
Converse
Uses patterns to draw conclusions
A specific case for which a conjecture is false.
A logical statement with a hypothesis and a conclusion... If (hy…
A conditional statement with the hypothesis and conclusion re…
Inductive Reasoning
Uses patterns to draw conclusions
Counterexample
A specific case for which a conjecture is false.
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…
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
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)
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…
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
15 terms
Geometry Chapter 2 & 3 Vocabulary
Theorem 3-4-1
Theorem 3-4-3
Linear Pair Theorem
Vertical Angle Theorem
If two intersecting lines form a linear pair of congruent ang…
if two coplanar lines are perpendicular to the same line, the…
If two angles form a linear pair, then they are supplementary
Vertical angles are congruent
Theorem 3-4-1
If two intersecting lines form a linear pair of congruent ang…
Theorem 3-4-3
if two coplanar lines are perpendicular to the same line, the…
12 terms
Geometry Vocabulary chapter 2 & 3
Corresponding Angles
Alternate Exterior Angles
Same side interior
Alternate Interior Angles
-same side of transversal ... -in corresponding positions
-opposite side transversal ... -exterior... -nonadjacent
-same side of transversal ... -interior... -nonadjacent
-opposite side of transverse... -interior... -nonadjacent
Corresponding Angles
-same side of transversal ... -in corresponding positions
Alternate Exterior Angles
-opposite side transversal ... -exterior... -nonadjacent
30 terms
Chapter 2 & 3 Geometry Vocabulary
Midpoint
Segment Bisector
Bisect
Angle Bisector
A point that divides a segment into two congruent segments
A segment, line, or plane that intersects a segment at its mi…
to divide into two equal parts
a ray that divides an angle into two congruent angles
Midpoint
A point that divides a segment into two congruent segments
Segment Bisector
A segment, line, or plane that intersects a segment at its mi…
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
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
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…
42 terms
Geometry Chapter 2-3
Parallel Lines
Skew Lines
Parallel Planes
Parallel Postulate
Two lines that are co-planar and do not intersect. (Go in the…
Lines do not intersect and are not co-planar
Two planes that do not intersect
If there is a line and a point not on the line, then there is…
Parallel Lines
Two lines that are co-planar and do not intersect. (Go in the…
Skew Lines
Lines do not intersect and are not co-planar
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.
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
25 terms
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…
Geometry Chapter 2.3 Vocab
congruent segments
congruent angles
a line is perpendicular to a plane...
segment bisector
two segments are congruent if they have the same length
two angles are congruent if they have the same measure
if it forms a right angle with each line in the plane it inte…
a segment, ray, line, or plane that intersects a segment at i…
congruent segments
two segments are congruent if they have the same length
congruent angles
two angles are congruent if they have the same measure
7 terms
Honors Geometry Chapter 2-3
Conditional Statement
Hypothesis
Conclusion
Converse
A statement that can be written in if-then form.
the phrase immediately following the word "if"
The phrase immediately following the word "then"
Formed by exchanging the hypothesis and conclusion of the con…
Conditional Statement
A statement that can be written in if-then form.
Hypothesis
the phrase immediately following the word "if"
Geometry: Chapter 2 and 3 Vocabulary
Conditional Statement
Hypothesis
Conclusion
Converse
if-then statement
if
then
formed by inter-changing hypothesis and conclusion
Conditional Statement
if-then statement
Hypothesis
if
Geometry Chapter 2
Pythagorean Theorem
Linear Pair Theorem
Congruent Supplements Theorem
Right Angle Congruence Theorem
In a right triangle, the sum of the squares of the lengths of…
if two angles form a linear pair, the they are supplementary.
If two angles are supplementary to the same angle (or to two…
All right angles are congruent
Pythagorean Theorem
In a right triangle, the sum of the squares of the lengths of…
Linear Pair Theorem
if two angles form a linear pair, the they are supplementary.
35 terms
Geometry Chapter 2 & 3
sketch
draw
construct
segment bisector
to make a free hand; sketch without any tools.
carefully use geometry tools to measrure and draw; like a pro…
use tools without measurements to construct a figure; like a…
a line, ray, or segment that passes through the midpoint of a…
sketch
to make a free hand; sketch without any tools.
draw
carefully use geometry tools to measrure and draw; like a pro…
geometry vocabulary chapter 2-3
Inductive reasoning
conjecture
counterexample
statement
a reasoning that uses a number of specific examples to arrive…
a concluding statement reached using inductive reasoning
a false example, can be a number, drawing, or a statment
a sentence that is either true or false
Inductive reasoning
a reasoning that uses a number of specific examples to arrive…
conjecture
a concluding statement reached using inductive reasoning
21 terms
Geometry Chapter 2&3 Vocabulary
biconditional
conditional
contrapositive
converse
combination of a conditional statement and its converse; cont…
an if-then statement
if NOT q then NOT p
if q then p
biconditional
combination of a conditional statement and its converse; cont…
conditional
an if-then statement
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..."
13 terms
Geometry Chapter 2 & 3
Definition of congruence (Def con.)
Addition property of equality (APOE)
Subtraction property of equality (SPOE)
Multiplication property of equality (M…
Two figures are congruent iff they are equal in measure.... Used…
...
...
...
Definition of congruence (Def con.)
Two figures are congruent iff they are equal in measure.... Used…
Addition property of equality (APOE)
...
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…
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
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
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
Geometry Chapter 2-3
Proof
Two-Column Proof
Theorem
Parallel Lines
A logical argument that shows a statement is true
a proof with numbered statements and corresponding reasons, i…
A statement that can be proven
Coplanar lines that never touch
Proof
A logical argument that shows a statement is true
Two-Column Proof
a proof with numbered statements and corresponding reasons, i…
Geometry - Chapter 2 Vocabulary
biconditional
conclusion
conditional
conjecture
q
p -> q
a conclusion reached using inductive reasoning
biconditional
conclusion
q
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
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.
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…
26 terms
Geometry Chapter 2&3
Corresponding Angles Postulate
Alternate Interior Angle Theorem
Alternate Exterior Angle Theorem
Consecutive Interior Angle Theorem
Congruent
Congruent
Congruent
Supplementary
Corresponding Angles Postulate
Congruent
Alternate Interior Angle Theorem
Congruent
14 terms
Geometry Chapter 2 and 3
Midpoint
Angle bisector
Segment bisector
Perpendicular lines
A PT that ÷ a segment into 2 congruent segments
A ray that divides and angle into 2 congruent parts
A ray, segment or line that intersects a segment at it's midp…
Perpendicular lines make right angles
Midpoint
A PT that ÷ a segment into 2 congruent segments
Angle bisector
A ray that divides and angle into 2 congruent parts
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".
Geometry Chapter 2.2-2.3
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…
19 terms
Geometry Chapter 2 Conditionals
conclusion
converse
conjecture
counterexample
"then" part of a conditional statement
switches the hypothesis and conclusion of a conditional
prediction of what you think might happen
an example that shows a conditional is false
conclusion
"then" part of a conditional statement
converse
switches the hypothesis and conclusion of a conditional
51 terms
Chapter 2&3-3,3-4,3-5 geometry glossary
Inductive reasoning
conjecture
counterexample
Deductive reasoning
Reasoning based on patterns you observe
A conclusion you reach using inductive reasoning
an example used to support a claim or statement that is the o…
The process of reasoning logically from given statements of f…
Inductive reasoning
Reasoning based on patterns you observe
conjecture
A conclusion you reach using inductive reasoning
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
34 terms
Geometry Vocabulary - Chapter 2
bi-conditional statement
conclusion
conditional
hypothesis
a statement containing the phrase "If and Only If"
the "then" part of a conditional statement
a statement with both a hypothesis and a conclusion, typicall…
the "If" part of a conditional statement
bi-conditional statement
a statement containing the phrase "If and Only If"
conclusion
the "then" part of a conditional statement
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