#### Study sets matching "chapt 2 3 geometry"

#### Study sets matching "chapt 2 3 geometry"

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…

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

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…

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.

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…

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

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…

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.

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…

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

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)

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…

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

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…

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

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…

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

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

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…

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

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.

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

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…

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

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"

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.

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…

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

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..."

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)

...

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…

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

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

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…

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

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.

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…

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

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".

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…

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

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

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

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