# Study sets matching "chapt 2 3 geometry"

Study sets

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if-then statement

conditional statement

converse

inverse

- if p, then q

- a statement that can be written in the form "if p, then q"

- if q, then p... - formed by exchanging the hypothesis and the c…

- if not p, then not q... - formed by negating both the hypothesi…

if-then statement

- if p, then q

conditional statement

- a statement that can be written in the form "if p, then q"

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

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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…

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.

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

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.

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.

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

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.

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.

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…

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)

Complementary angles

Supplementary angles

Transversal

Adjacent angles

two angles that sum to 90°

two angles that sum to 180°

a line that intersects two or more lines

two angles that share a side and vertex, next to each other

Complementary angles

two angles that sum to 90°

Supplementary angles

two angles that sum to 180°

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…

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

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.

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

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.

postulate

axiom

proof

theorem

a statement that is accepted as true without proof

another name for postulate

specific evidence that establishes the truth of something

A mathematical statement which we can prove to be true

postulate

a statement that is accepted as true without proof

axiom

another name for postulate

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Inductive reasoning

Conjecture

Counterexample

Conditional statement

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

A concluding statement reached by using inductive reasoning. (…

An example used to show that a given statement is not always t…

A statement that can be written in if-then form.

Inductive reasoning

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

Conjecture

A concluding statement reached by using inductive reasoning. (…

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.

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

-5, 2.5, -1.25

A quadrilateral has 4 sides or a hexago…

If x=3, then 3^2 = 9

If two angles form a linear pair, then…

Write the next three numbers in the pattern: ... 40, -20, 10....

Provide a counterexample to disprove the conjecture:... Regular p…

Provide a counterexample to disprove the conjecture:... The value…

Write the following in If-then form:... Two angles that form a li…

-5, 2.5, -1.25

Write the next three numbers in the pattern: ... 40, -20, 10....

A quadrilateral has 4 sides or a hexago…

Provide a counterexample to disprove the conjecture:... Regular p…