#### Study sets matching "honors geometry chapter 2"

#### Study sets matching "honors geometry chapter 2"

inductive reasoning

conjecture

conditional

counterexample

reasoning based on patterns you observe

a conclusion you reach using inductive reasoning

if p then q

example that proves that a conclusion is not true

inductive reasoning

reasoning based on patterns you observe

conjecture

a conclusion you reach using inductive reasoning

conditional statement

hypothesis

conclusion

converse

This has 2 parts, a hypothesis and a conclusion.

The "if" part of a conditional statement

The "then" part of a conditional statement.

This is formed when you switch the hypothesis and conclusion o…

conditional statement

This has 2 parts, a hypothesis and a conclusion.

hypothesis

The "if" part of a conditional statement

inductive reasoning

conjecture

conditional

truth value

reasoning based on patterns you observe

a conclusion you reach using inductive reasoning

if p then q

true or false

inductive reasoning

reasoning based on patterns you observe

conjecture

a conclusion you reach using inductive reasoning

Linear Pair

Perpendicular

Complementary Angles

Supplementary Angles

If ray AB and ray AC are opposite rays and D is a point not on…

Lines, rays, or segments that intersect to form right angles.

Two angles whose sum is 90.... m angle 1 + m angle 2 = 90

Two angles whose sum is 180.... m angle 1 + m angle 2 = 180

Linear Pair

If ray AB and ray AC are opposite rays and D is a point not on…

Perpendicular

Lines, rays, or segments that intersect to form right angles.

2.1 Through any two points, there is ex…

2.2 Through any three noncollinear poin…

2.3 A line contains at least two points

2.4 A plane contains at least three non…

Line N is the only line through points P and R

Plane K is the only plane through noncollinear points A, B and…

Line N contains points P, Q and R

Plane K contains noncollinear points L, B, C and E

2.1 Through any two points, there is ex…

Line N is the only line through points P and R

2.2 Through any three noncollinear poin…

Plane K is the only plane through noncollinear points A, B and…

perpendicular

complementary angles

supplementary angles

if two angles are supplementary to the…

lines, rays, or segments that intersect at a right angle

if two angles sum is 90 degrees then each of the two angles ar…

if two angles sum is 180 degrees then each of the two angles a…

perpendicular

lines, rays, or segments that intersect at a right angle

complementary angles

if two angles sum is 90 degrees then each of the two angles ar…

perpendicular

complementary angles

supplementary angles

if two angles are supplementary to the…

lines, rays, or segments that intersect at a right angle

if two angles sum is 90 degrees then each of the two angles ar…

if two angles sum is 180 degrees then each of the two angles a…

perpendicular

lines, rays, or segments that intersect at a right angle

complementary angles

if two angles sum is 90 degrees then each of the two angles ar…

conjecture

inductive reasoning

counterexample

conditional statement

an unproven statement that is based on observations

when you find a pattern in specific cases and then write a con…

a specific case for which the conjecture is false

a logical statement that has a hypothesis and a conclusion

conjecture

an unproven statement that is based on observations

inductive reasoning

when you find a pattern in specific cases and then write a con…

Complementary Angles

Supplementary Angles

Adjacent Angles

Linear Pair

2 angles where the sum of their measures is 90

2 angles where the sum of their measures is 180

2 angles with a common side

A pair of adjacent angles where the non-common sides form a li…

Complementary Angles

2 angles where the sum of their measures is 90

Supplementary Angles

2 angles where the sum of their measures is 180

conditional statements

converse of a conditional statement

hypothesis

conclusion

a statement whose basic form is if p then q. ... made up of hypo…

changing of the hypothesis and conclusion from the original st…

part of a conditional statement ... (after if)

part of a conditional statement... (after then)

conditional statements

a statement whose basic form is if p then q. ... made up of hypo…

converse of a conditional statement

changing of the hypothesis and conclusion from the original st…

Inductive Reasoning

Conjecture

Counterexample

Statement

Forming conjectures on the basis of observation.

A statement believed to be true.

An example that proves a statement is false.

A sentence that is either true or false.

Inductive Reasoning

Forming conjectures on the basis of observation.

Conjecture

A statement believed to be true.

if then statement (conditional statemen…

hypothesis

conclusion

converse

-has a condition containing a hypothesis and a conclusion

-the part following the "if"... -describes the condition necessar…

-the outcome when the hypothesis is present... -the part followin…

-the converse of a conditional is found by switching the hypot…

if then statement (conditional statemen…

-has a condition containing a hypothesis and a conclusion

hypothesis

-the part following the "if"... -describes the condition necessar…

Conditional Statement

If-then form

Negation

Equivalent Statements

A logical statement that has two parts, a hypothesis and a con…

The "if" part contains the hypothesis and the "then" part cont…

A statement that is the opposite of the original statement.... S…

When two statements are both true or both false.

Conditional Statement

A logical statement that has two parts, a hypothesis and a con…

If-then form

The "if" part contains the hypothesis and the "then" part cont…

Inductive Reasoning

Deductive Reasoning

Conjecture

Counterexample

Reach a conclusion based on analysis of a pattern; doesn't use…

Involves the usage of rules and formulas; uses the "n" in patt…

Unproven statement based on examples in a pattern ... Example: t…

Example that disproves the conjecture (makes it not true) ... Ex…

Inductive Reasoning

Reach a conclusion based on analysis of a pattern; doesn't use…

Deductive Reasoning

Involves the usage of rules and formulas; uses the "n" in patt…

conjecture

inductive reasoning

counterexample

conditional statement

an unproven statement that is based on observations

a process that includes looking for patterns and making conjec…

a specific case that shows a conjecture is false

a logical statement that has two parts, a hypothesis and a con…

conjecture

an unproven statement that is based on observations

inductive reasoning

a process that includes looking for patterns and making conjec…

inductive reasoning

deductive reasoning

conjecture

conditional statement

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

the process of showing that certain statements follow logicall…

a generalization based on inductive reasoning

if/then statement

inductive reasoning

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

deductive reasoning

the process of showing that certain statements follow logicall…

inductive reasoning

conjecture

counterexample

statement

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

concluding statement reached using inductive reasoning

false example that can be a drawing, number, or statement

sentence that is either true or false

inductive reasoning

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

conjecture

concluding statement reached using inductive reasoning

Conditional Statements

Hypothesis

Conclusion

Shorthand for conditional statements

An "If...then" statement.

The "If" part of a conditional statement.... (Does not include th…

The "Then" part of a conditional statement... (Does not include t…

"p-->q" ... Read as: "If P then Q" or... "P implies Q"

Conditional Statements

An "If...then" statement.

Hypothesis

The "If" part of a conditional statement.... (Does not include th…

Perpendicular

Oblique lines

Coordinate axes

Orthogonal

Lines, rays, segments that intersect at right angles

Lines, Rays, segments, that intersect but not at right angles

Perpendicular examples?

Perpendicular...AKA:

Perpendicular

Lines, rays, segments that intersect at right angles

Oblique lines

Lines, Rays, segments, that intersect but not at right angles

five things that can be used as reasons…

reflexive property

symmetric property

transitive property

given, properties, definitions, postulates, theorem

ab=ab

if a=b, then b=a

if a=b and b=c then a=c

five things that can be used as reasons…

given, properties, definitions, postulates, theorem

reflexive property

ab=ab

Conjecture

Inductive reasoning

Counter-example

Statement

An educated guess based on known information

Using several specific situations to arrive at a conjecture

An example that shows that the conjecture is false

Any sentence that is either true or false

Conjecture

An educated guess based on known information

Inductive reasoning

Using several specific situations to arrive at a conjecture

Inductive reasoning

Conjecture

Counterexample

Inductive reasoning 1

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

A statement you believe to be true based on inductive reasoning

To show that a conjecture is false you have to find only one e…

Look for a pattern

Inductive reasoning

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

Conjecture

A statement you believe to be true based on inductive reasoning