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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)

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)

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…

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.

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.

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

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

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…

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…

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

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…

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

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

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

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

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

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…

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…

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

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..."

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

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…

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

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…

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…

Inductive Reasoning

Conjecture

Counterexample

Statement

The kind of reasoning based on OBSERVED patterns rather than…

educated guess based on known info (inductive reasoning)

an example used to show that a given statement is not AWAYS t…

A sentence that can be true or false but NOT both

Inductive Reasoning

The kind of reasoning based on OBSERVED patterns rather than…

Conjecture

educated guess based on known info (inductive reasoning)

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…

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.

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

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

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…

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

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…

Biconditional staement

Conditional statement

Conjecture

Converse

A statement that can be written in the form "P" if and only i…

A statement that can be written in the form "if P, then Q." W…

A statement that is believed to be true

The statement formed by exchanging the hypothesis and conclus…

Biconditional staement

A statement that can be written in the form "P" if and only i…

Conditional statement

A statement that can be written in the form "if P, then Q." W…

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".

Addition Property Of Equality (POE)

Subtraction POE

Multiplication POE

Division POE

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

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

If a = b, then ac = bc

if a = b and c =/ 0, then a/c = b/c

Addition Property Of Equality (POE)

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

Subtraction POE

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

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

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

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

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…

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)

...

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)