# Study sets matching "chapt 2 3 geometry"

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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

counterexample

conjecture

conditional statement

hypothesis

Used to show that a conjecture is false.

a statement you believe to be true based on inductive reasonin…

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 reasonin…

Inductive Reasoning

Conjecture

Counter-Example

Statement

Reasoning that uses a number of specific examples to arrive at…

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 by…

Inductive Reasoning

Reasoning that uses a number of specific examples to arrive at…

Conjecture

A concluding statement reached using inductive reasoning

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 i…

the process of using logic to draw conclusions from given fact…

the process of reasoning that a rule or statement is true beca…

conjecture

a statement you believe to be true based on inductive reasoning

counterexample

a drawing, statement, or number that shows that a conjecture i…

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 fals…

A statement written in if then form with a hypothesis and conc…

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 no…

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 no…

Biconditional statement

Conditional statement

Conjecture

Contrapositive

a single statement that combines a conditional statement and i…

and If-then statement. ... p->q

a conclusion you make based on inductive reasoning

the negation and converse... ~q->~p

Biconditional statement

a single statement that combines a conditional statement and i…

Conditional statement

and If-then statement. ... p->q

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 inte…

The horizontal lines are parallel. Identify the alternate exte…

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 inte…

Venn diagram

locus

inductive reasoning

conjecture

A concept map of overlapping circles or ovals that shows the r…

The set of all points that satisfy some given conditions.

The process of observing data, recognizing patterns, and makin…

A generalization resulting from inductive reasoning.

Venn diagram

A concept map of overlapping circles or ovals that shows the r…

locus

The set of all points that satisfy some given conditions.

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 (hyp…

A conditional statement with the hypothesis and conclusion rev…

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 conclus…

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 conclus…

Theorem 3-4-1

Theorem 3-4-3

Linear Pair Theorem

Vertical Angle Theorem

If two intersecting lines form a linear pair of congruent angl…

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 angl…

Theorem 3-4-3

if two coplanar lines are perpendicular to the same line, the…

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

The process of reasoning that a rule or statement is true beca…

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" wher…

Inductive Reasoning

The process of reasoning that a rule or statement is true beca…

Conjecture

A statement that is believed to be true

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)

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 ha…

a form of proof that establishes the truth or validity of a pr…

alternate interior angles

inside the parallel lines, opposite sides of the transversal

conjecture

An educated guess

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, b…

Two angles whose sum is 90 degrees

counterexample

an example that proves a statement false

postulate

an accepted statement of fact

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 mid…

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 mid…

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 fals…

A statement written in if then form with a hypothesis and conc…

Inductive Reasoning

It is used to draw a conclusion based on a pattern.

Conjecture

A statement that is believed to be true.

Conditional (p = hypothesis, q = conclu…

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, th…

Conditional (p = hypothesis, q = conclu…

If p, then q... symbolic form p -> q

Converse of conditional

If q, then p... symbolic form q ->p

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…

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

Inductive Reasoning

Deductive Reasoning

Hypothesis

Conclusion

Find a pattern in specific cases and then write a conjecture f…

Reasoning that uses facts, definitions, accepted properties, a…

The "if" part of a conditional statement.

The "then" part of a conditional statement.

Inductive Reasoning

Find a pattern in specific cases and then write a conjecture f…

Deductive Reasoning

Reasoning that uses facts, definitions, accepted properties, a…