# Study sets matching "honors geometry chapter 2"

Study sets

Diagrams

Classes

Users

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

Adjacent Angles

Opposite Rays

Straight Angle

Betweenness of Points

1. Same vertex... 2. Share a common side... 3. NO common interior pa…

1. Same starting point... 2. Opposite direction

An angle with a measure of 180°... WE CAN ALWAYS ASSUME THIS

The point that is in the middle of two other points on a strai…

Adjacent Angles

1. Same vertex... 2. Share a common side... 3. NO common interior pa…

Opposite Rays

1. Same starting point... 2. Opposite direction

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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

Counterexample

Statement

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

A concluding statement reached using inductive reasoning.

A false example in which it only takes one to counter a conjec…

A sentence that is either true or false.

Inductive Reasoning

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

Conjecture

A concluding statement reached using inductive reasoning.

Inductive Reasoning

Conjecture

Counterexample

Statement

Making a conclusion based on observations and patterns.

A concluding statement reached using inductive reasoning.

An example that shows a conjecture is false.

A sentence that is either true or false.

Inductive Reasoning

Making a conclusion based on observations and patterns.

Conjecture

A concluding statement reached using inductive reasoning.

addition property of equality

subtraction property of equality

multiplication property of equality

division property of equality

If a=b then a+c = b+c... ------... if x=12 then x-4+4=8+4

If a=b then a-c=b-c... ------... if x=3 then x+3-3=6-3

If a=b a

**c=b**c... ------... If x=12 then 3(x/3)=4*3If a=b & c ≠ 0 then (a/c)=(b/c)... ------... If x=4 and not equal to…

addition property of equality

If a=b then a+c = b+c... ------... if x=12 then x-4+4=8+4

subtraction property of equality

If a=b then a-c=b-c... ------... if x=3 then x+3-3=6-3

Inductive Reasoning

Conjecture

Counterexample

Conditional Statement

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

a statement that is believed to be true

an example that proves a conjecture or statement is false

a statement that can be written in the form "If p, then q" whe…

Inductive Reasoning

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

Conjecture

a statement that is believed to be true

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…

Congruency of supplementary angles (The…

Supplementary congruent angles... (Theorem…

Congruent complementary angles (Theorem…

Congruency of complementary angles (The…

If angles that are supp. To the same angle then they are congr…

If angles are supp. to congruent angles then, they are congrue…

If angles complementary to the same angle, then they are congr…

If angles are complementary to congruent angles then they are…

Congruency of supplementary angles (The…

If angles that are supp. To the same angle then they are congr…

Supplementary congruent angles... (Theorem…

If angles are supp. to congruent angles then, they are congrue…

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

Inductive Reasoning

Conjecture

Counterexample

Conditional Statement

reasoning based on patterns you observe

a conclusion you reach using inductive reasoning

an example that shows that a conjecture is incorrect

an if-then statement

Inductive Reasoning

reasoning based on patterns you observe

Conjecture

a conclusion you reach using inductive reasoning

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…

Opposite rays

Congruent segments

Midpoint

Segment bisector

Two rays that must have the same endpoint and go in exact oppo…

Line segments with the same length

The point that divides a segment into two congruent segments

A point, ray,line, line segment, or plane that insterects the…

Opposite rays

Two rays that must have the same endpoint and go in exact oppo…

Congruent segments

Line segments with the same length

Conjecture

Inductive Reasoning

Counterexample

Converse

an educated guess based on KNOWN information

uses a number of specific examples to arrive at a plausible ge…

a false example

exchanging the hypothesis and the conclusion

Conjecture

an educated guess based on KNOWN information

Inductive Reasoning

uses a number of specific examples to arrive at a plausible ge…

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…

Same Side Interior Angles Theorem

Alternate Interior Angles Theorem

Corresponding Angles Theorem

Alternate Exterior Angles Theorem

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

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

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

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

Same Side Interior Angles Theorem

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

Alternate Interior Angles Theorem

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

Conditionals

Converse

Counterexample

Biconditional

- Statements that form a hypothesis and make a conclusion.... - T…

- A converse is formed by interchanging the hypothesis and con…

- An example that is used to disprove an IF-THEN statement (in…

A single statement where the conditional and converse are both…

Conditionals

- Statements that form a hypothesis and make a conclusion.... - T…

Converse

- A converse is formed by interchanging the hypothesis and con…

Definition of Perpendicular Lines

Theorem 2-4

Theorem 2-5

Theorem 2-6

Two lines that intersect to form 90 degree angles

If two lines are perpendicular, then they form congruent adjac…

If two lines form congruent adjacent angles, then the lines ar…

If the exterior sides of two adjacent acute angles are perpend…

Definition of Perpendicular Lines

Two lines that intersect to form 90 degree angles

Theorem 2-4

If two lines are perpendicular, then they form congruent adjac…

inductive reasoning

counter example

conditional

negation

the process of arriving at a general conclusion based on obser…

show a conjecture is wrong by finding a; a way to show that a…

a statement written in "if-then" form; "if" = hypothesis, "the…

formed by writing the negative of a statement ~p

inductive reasoning

the process of arriving at a general conclusion based on obser…

counter example

show a conjecture is wrong by finding a; a way to show that a…

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Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

division property of equality

If a = b, then a + c = b + d

If a = b, then a - c = b - d

If a=b, then ac=bc

if a = b and c is not equal to 0, then a/c = b/c

Addition Property of Equality

If a = b, then a + c = b + d

Subtraction Property of Equality

If a = b, then a - c = b - d

conjecture

counterexample

statement

truth value

a concluding statement reached using inductive reasons

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

sentence that is either true or false

either a statement is true or false

conjecture

a concluding statement reached using inductive reasons

counterexample

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

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…