# Study sets matching "geometry chapter 2"

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Linear Pairs Theorem

Supplementary Angles

Straight Angle

Complementary Angles

Two angles that form a line and are adjacent (right next to ea…

Two or more angles that add to 180 degrees.

Another name for a line. Emphasizes that a line has a 180 degr…

Two or more angles that add to 90 degrees.

Linear Pairs Theorem

Two angles that form a line and are adjacent (right next to ea…

Supplementary Angles

Two or more angles that add to 180 degrees.

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…

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.

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.

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…

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…

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

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

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

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

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…

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

Line

Point

Plane

Space

A "straight" arrangement of an infinite set of points. A strai…

A basic unit of geometry used to represent position or locatio…

A flat, two-dimensional surface that extends infinitely far. H…

The set of all points.

Line

A "straight" arrangement of an infinite set of points. A strai…

Point

A basic unit of geometry used to represent position or locatio…

conjecture

counterexample

inductive reasoning

truth value

an educated guess based on known information

an example that shows a conjecture is false. ... EXAMPLE: Someone…

looking at several specific situations to arrive at a conjectu…

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: Someone…

Parallel Lines

|| (symbol)

Skew Lines

parallel planes

Coplanar lines that do not intersect.

means is parallel to

noncoplanar lines that are not parallel and do not intersect

planes that do not intersect

Parallel Lines

Coplanar lines that do not intersect.

|| (symbol)

means is parallel to

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".

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…

alternate interior angles

congruent

legs

theorem

If the lines intersected by the transversal are parallel, then…

The corresponding angles and sides of congruent polygons have…

The two sides of a right triangle that form the right angle. N…

A conjecture that has been proven to be true.

alternate interior angles

If the lines intersected by the transversal are parallel, then…

congruent

The corresponding angles and sides of congruent polygons have…

Two-Column Proof (Formal Proof)

Postulate/Axiom

Conditional Statement

Proof

A type of proof written in columns.

A statement that describes a fundamental relationship between…

An "if, then" statement.

A logical argument in which each statement you provide is supp…

Two-Column Proof (Formal Proof)

A type of proof written in columns.

Postulate/Axiom

A statement that describes a fundamental relationship between…

Inductive Reasoning

Deductive Reasoning

Counterexample

Theorem

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

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

an example where the conjecture is not true.

any statement that you can prove.

Inductive Reasoning

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

Deductive Reasoning

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

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 r…

Biconditional

Compound statement

conclusion

conjecture

the combination of a conditional statement and its converse. A…

combines two or more statements

the part of an if-then statement (conditional) that follows th…

a conclusion reached by using inductive reasoning

Biconditional

the combination of a conditional statement and its converse. A…

Compound statement

combines two or more statements

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 "the…

Conjecture

an unproven statement that is based on observations

Inductive reasoning

finding a pattern in a specific case then writing a conjecture