# Study sets matching "chapt 2 3 geometry"

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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

Congruent Polygons

Third Angles Theorem

Side-Side-Side (SSS) Postulate

Side-Angle-Side (SAS) Postulate

Have corresponding parts congruent.

If 2 angles of 1 triangle are congruent to 2 angles of another…

If the 3 sides of 1 triangle are congruent to the 3 sides of a…

If 2 sides and the included angle of 1 triangle are congruent…

Congruent Polygons

Have corresponding parts congruent.

Third Angles Theorem

If 2 angles of 1 triangle are congruent to 2 angles of another…

Transversal

Alternate Interior Angles

Alternate Exterior Angles

Same-Side Interior Angles

A line, ray, or segment that intersects two or more coplanar l…

Angles 2 and 7... Or... Angles 3 and 6

Transversal

A line, ray, or segment that intersects two or more coplanar l…

Alternate Interior Angles

Angles 2 and 7... Or... Angles 3 and 6

LINEAR PAIR CONJECTURE

VERTICAL ANGLES CONJECTURE

PARALLEL LINES CONJECTURE

CONVERSE OF THE PARALLEL LINES CONJECTU…

If two angles form a linear pair, then the measures of the ang…

If two angles are vertical angles, then are equal in measure (…

If two parallel lines are cut by a transversal, then correspon…

If two lines are cut by a transversal to form pairs of congrue…

LINEAR PAIR CONJECTURE

If two angles form a linear pair, then the measures of the ang…

VERTICAL ANGLES CONJECTURE

If two angles are vertical angles, then are equal in measure (…

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 reasonings allows us to make

Deductive reasoning allows us to make

Inductive reasoning is based on

Deductive reasoning is based on

conjectures.

conclusions.

observation, examples, and experiments.

serious if linked statements. (Makes sense)

Inductive reasonings allows us to make

conjectures.

Deductive reasoning allows us to make

conclusions.

inductive reasoning

conjecture

deductive reasoning

function rule

Reasoning from specific observations to make generalizations.…

A conclusion based on guesswork or insufficient evidence.

Reasoning from a general case that is known to be true to a sp…

An expression that describes the relationship between each inp…

inductive reasoning

Reasoning from specific observations to make generalizations.…

conjecture

A conclusion based on guesswork or insufficient evidence.

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…

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…

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.

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.

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…

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.

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…

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.

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

conditional

hypothesis

conclusion

truth value

an "if-then" statement (if p then q)

the "p" part of a conditional following "if"

the "q" part of a conditional following "then"

whether a conditional is true or false

conditional

an "if-then" statement (if p then q)

hypothesis

the "p" part of a conditional following "if"

algebraic proof

axiom

compound statement

conclusion

a method to prove statements using properties that justify eac…

any mathematical statement that serves as a starting point fro…

two statements put together and formed into a sentence... example…

The "q or then" in a conditional statement

algebraic proof

a method to prove statements using properties that justify eac…

axiom

any mathematical statement that serves as a starting point fro…

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…

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…

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)

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…