How can we help?

You can also find more resources in our Help Center.

A→B and B→C... therefore A→C

Given: If X, then Y, and if Y, then Z.…

Angles in a plane that have their vert…

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

If-then transitive property

If-then transitive property

adjacent angles

addition property of equality

A→B and B→C... therefore A→C

If-then transitive property

Given: If X, then Y, and if Y, then Z.…

If-then transitive property

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

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

A statement that is believed to be true

An example that proves a conjecture or statement false

A statement that can be written in the form if p then q where…

Inductive Reasoning

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

Conjecture

A statement that is believed to be true

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

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

A statement that is believed to be true

An example that proves a conjecture or statement 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 statement is true bec…

Conjecture

A statement that is believed to be true

A→B and B→C... therefore A→C

Given: If X, then Y, and if Y, then Z.…

Angles in a plane that have their vert…

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

If-then transitive property

If-then transitive property

adjacent angles

addition property of equality

A→B and B→C... therefore A→C

If-then transitive property

Given: If X, then Y, and if Y, then Z.…

If-then transitive property

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

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

A statement that is believed to be true

An example that proves a conjecture or statement false

A statement that can be written in the form if p then q where…

Inductive Reasoning

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

Conjecture

A statement that is believed to be true

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

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

A statement that is believed to be true

An example that proves a conjecture or statement 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 statement is true bec…

Conjecture

A statement that is believed to be true

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

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

A statement that is believed to be true

An example that proves a conjecture or statement 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 statement is true bec…

Conjecture

A statement that is believed to be true

A→B and B→C... therefore A→C

Given: If X, then Y, and if Y, then Z.…

Angles in a plane that have their vert…

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

If-then transitive property

If-then transitive property

adjacent angles

addition property of equality

A→B and B→C... therefore A→C

If-then transitive property

Given: If X, then Y, and if Y, then Z.…

If-then transitive property

A→B and B→C... therefore A→C

Given: If X, then Y, and if Y, then Z.…

Angles in a plane that have their vert…

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

If-then transitive property

If-then transitive property

adjacent angles

addition property of equality

A→B and B→C... therefore A→C

If-then transitive property

Given: If X, then Y, and if Y, then Z.…

If-then transitive property

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

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

A statement that is believed to be true

An example that proves a conjecture or statement 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 statement is true bec…

Conjecture

A statement that is believed to be true

Conjecture

Inductive Reasoning

Deductive Reasoning

Conclusion

A statement that is believed to be true

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

The process of using logic to draw conclusions

The part of a conditional that follows "then" (q)

Conjecture

A statement that is believed to be true

Inductive Reasoning

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

Conjecture

Inductive Reasoning

Deductive Reasoning

Conclusion

A statement that is believed to be true

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

The process of using logic to draw conclusions

The part of a conditional that follows "then" (q)

Conjecture

A statement that is believed to be true

Inductive Reasoning

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

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

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

A statement that is believed to be true

An example that proves a conjecture or statement 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 statement is true bec…

Conjecture

A statement that is believed to be true

biconditional statement

conclusion

conditional statement

conjecture

a statement that can be written in form " p if and only if q"

the part q of a conditional statement following the word then

a statement that can be written in the form

a statement you believe to be true based on inductive reasoning

biconditional statement

a statement that can be written in form " p if and only if q"

conclusion

the part q of a conditional statement following the word then

definition of congruent segments

segment addition postulate

definition of congruent angles

angle addition postulate

two segments that have the same length

if b is between a and c, then ab+bc=ac

angles that have the same measure

if S is in the interior of angle PQR, then the measure of ang…

definition of congruent segments

two segments that have the same length

segment addition postulate

if b is between a and c, then ab+bc=ac

biconditional statement

conclusion

hypothesis

conditional statement

A statement that can be written in the form "p if and only if…

The part of the conditional statement that follows "then".

The part of a conditional statement that follows "if".

A statement that can be written in the form "if p, then q" wh…

biconditional statement

A statement that can be written in the form "p if and only if…

conclusion

The part of the conditional statement that follows "then".

BICONDITIONAL STATEMENT

CONCLUSION

CONDITIONAL STATEMENT

CONJECTURE

A statement that can be written in the form "p if and only if…

A part of a conditional statement following the word then

A statement that can be written in the form " if p, then q "…

A statement that is believed to be true.

BICONDITIONAL STATEMENT

A statement that can be written in the form "p if and only if…

CONCLUSION

A part of a conditional statement following the word then

biconditional statement

conclusion

hypothesis

conditional statement

A statement that can be written in the form "p if and only if…

The part of the conditional statement that follows "then".

The part of a conditional statement that follows "if".

A statement that can be written in the form "if p, then q" wh…

biconditional statement

A statement that can be written in the form "p if and only if…

conclusion

The part of the conditional statement that follows "then".

Inductive Reasoning

Conjecture

Counterexample

Conditional Statement

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

A statement you is believe to be true

An example that proves a conjecture or statement false

A statement that can be written in the form if p then q where…

Inductive Reasoning

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

Conjecture

A statement you is believe to be true

biconditional statement

conclusion

conditional statement

conjecture

a statement that can be written in form " p if and only if q"

the part q of a conditional statement following the word then

a statement that can be written in the form

a statement you believe to be true based on inductive reasoning

biconditional statement

a statement that can be written in form " p if and only if q"

conclusion

the part q of a conditional statement following the word then

biconditional statement

conclusion

conditional statement

conjecture

a statement that can be written in form " p if and only if q"

the part q of a conditional statement following the word then

a statement that can be written in the form (if then) p-->q

a statement you believe to be true based on inductive reasoning

biconditional statement

a statement that can be written in form " p if and only if q"

conclusion

the part q of a conditional statement following the word then

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

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

A statement that is believed to be true

An example that proves a conjecture or statement 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 statement is true bec…

Conjecture

A statement that is believed to be true

biconditional statement

conclusion

conditional statement

conjecture

a statement that can be written in form " p if and only if q"

the part q of a conditional statement following the word then

a statement that can be written in if then form

a statement you believe to be true based on inductive reasoning

biconditional statement

a statement that can be written in form " p if and only if q"

conclusion

the part q of a conditional statement following the word then

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

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

A statement that is believed to be true

An example that proves a conjecture or statement 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 statement is true bec…

Conjecture

A statement that is believed to be true

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

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

A statement that is believed to be true

An example that proves a conjecture or statement 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 statement is true bec…

Conjecture

A statement that is believed to be true

Adjacent angles

Conditional Statement

Converse of a conditional

Counterexample

2 angles in a plane that share a common vertex and A common s…

a statement that can be written as " if p then q" , where p i…

The statement formed by interchanging the hypothesis and conc…

An example that proves that a statement, often a conjecture i…

Adjacent angles

2 angles in a plane that share a common vertex and A common s…

Conditional Statement

a statement that can be written as " if p then q" , where p i…

Counter Example

Conditional Statement

Hypothesis

Conclusion

An example that proves a conjecture or statement false

A statement that can be written in the form "if p then q" whe…

The part of a conditional that follows "if" (p)

The part of a conditional that follows "then" (q)

Counter Example

An example that proves a conjecture or statement false

Conditional Statement

A statement that can be written in the form "if p then q" whe…

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

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

A statement that is believed to be true

An example that proves a conjecture or statement 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 statement is true bec…

Conjecture

A statement that is believed to be true

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

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

A statement that is believed to be true

An example that proves a conjecture or statement 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 statement is true bec…

Conjecture

A statement that is believed to be true

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

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

A statement that is believed to be true

An example that proves a conjecture or statement 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 statement is true bec…

Conjecture

A statement that is believed to be true

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

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

an educated guess based on known information

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

a statement that can be written in an if then form

Inductive Reasoning

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

Conjecture

an educated guess based on known information

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

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

A statement that is believed to be true

An example that proves a conjecture or statement 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 statement is true bec…

Conjecture

A statement that is believed to be true

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

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

A statement that is believed to be true

An example that proves a conjecture or statement 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 statement is true bec…

Conjecture

A statement that is believed to be true

biconditional statement

conclusion

hypothesis

conditional statement

A statement that can be written in the form "p if and only if…

The part of the conditional statement that follows "then".

The part of a conditional statement that follows "if".

A statement that can be written in the form "if p, then q" wh…

biconditional statement

A statement that can be written in the form "p if and only if…

conclusion

The part of the conditional statement that follows "then".

inductive reasoning

conjecture

counterexample

conditional statement

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

A statement that is believed to be true.

An example that proves that a conjecture or statement is false.

A statement that can be written in the form "if p, then q" wh…

inductive reasoning

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

conjecture

A statement that is believed to be true.

biconditional statement

conditional statement

conjecture

contrapositive

A statement that can be written in the form "//p// if and onl…

A statement that can be written in the form "if //p//, then /…

A statement that is believed to be true.

The statement formed by both exchanging and negating the hypo…

biconditional statement

A statement that can be written in the form "//p// if and onl…

conditional statement

A statement that can be written in the form "if //p//, then /…

definition of congruent segments

segment addition postulate

definition of congruent angles

angle addition postulate

two segments that have the same length

if b is between a and c, then ab+bc=ac

angles that have the same measure

if S is in the interior of angle PQR, then the measure of ang…

definition of congruent segments

two segments that have the same length

segment addition postulate

if b is between a and c, then ab+bc=ac

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 a = b, then a - c = b - c

If a = b, then ac = bc

If a = b and c does not equal 0, then a/c = b/c

Addition Property of Equality

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

Subtraction Property of Equality

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

BICONDITIONAL STATEMENT

CONCLUSION

CONDITIONAL STATEMENT

CONJECTURE

A statement that can be written in the form "p if and only if…

A part of a conditional statement following the word then

A statement that can be written in the form " if p, then q "…

A statement that is believed to be true.

BICONDITIONAL STATEMENT

A statement that can be written in the form "p if and only if…

CONCLUSION

A part of a conditional statement following the word then

biconditional statement

conclusion

hypothesis

conditional statement

A statement that can be written in the form "p if and only if…

The part of the conditional statement that follows "then".

The part of a conditional statement that follows "if".

A statement that can be written in the form "if p, then q" wh…

biconditional statement

A statement that can be written in the form "p if and only if…

conclusion

The part of the conditional statement that follows "then".

acute triangle

auxiliary line

base

base angle

a triangle whose interior angles are all acute

a line that is added to a figure in a proof

the side opposite the vertex angle

an angle that has the base as a side with another angle

acute triangle

a triangle whose interior angles are all acute

auxiliary line

a line that is added to a figure in a proof

Theorem 2.6: Vertical Angles Congruenc…

Theorem 2.5: Congruent Complements The…

Theorem 2.4: Congruent Supplements The…

Theorem 2.3: Right Angle Congruence Th…

Vertical angles are congruent (pg.118)

If two angles are complementary to the same angle (or to cong…

If two angles are supplementary to the same angle (or to cong…

All right angles are congruent

Theorem 2.6: Vertical Angles Congruenc…

Vertical angles are congruent (pg.118)

Theorem 2.5: Congruent Complements The…

If two angles are complementary to the same angle (or to cong…

Inductive reasoning

Conjecture

Counterexample

Conditional statement

The process of reasoning that a rule or statement to draw a c…

A statement you believe to be true based on inductive reasons.

A drawing drawing, a statement, or a number.

Can be written in form "if p, then q"

Inductive reasoning

The process of reasoning that a rule or statement to draw a c…

Conjecture

A statement you believe to be true based on inductive reasons.

Side-Side-Side Congruence Postulate (S…

Angle-Side-Angle Congruence Theorem (A…

Side-Angle-Side Congruence Postulate (…

Side-Side-Angle Conjecture (SSA)

If the sides of one triangle are congruent to the sides of an…

If two angles and the included side in one triangle are congr…

If two sides and their included angle in one triangle are con…

In an SSA combination, if the given side opposite the given a…

Side-Side-Side Congruence Postulate (S…

If the sides of one triangle are congruent to the sides of an…

Angle-Side-Angle Congruence Theorem (A…

If two angles and the included side in one triangle are congr…

inductive reasoning

conjecture

counterexample

conditional statement

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

A statement that is believed to be true.

An example that proves that a conjecture or statement is false.

A statement that can be written in the form "if p, then q" wh…

inductive reasoning

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

conjecture

A statement that is believed to be true.

definition of congruent segments

segment addition postulate

definition of congruent angles

angle addition postulate

two segments that have the same length

if b is between a and c, then ab+bc=ac

angles that have the same measure

if S is in the interior of angle PQR, then the measure of ang…

definition of congruent segments

two segments that have the same length

segment addition postulate

if b is between a and c, then ab+bc=ac

inductive reasoning

conjecture

counterexample

conditional statement

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

A statement that is believed to be true.

An example that proves that a conjecture or statement is false.

A statement that can be written in the form "if p, then q" wh…

inductive reasoning

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

conjecture

A statement that is believed to be true.

acute triangle

auxiliary line

base

base angle

a triangle whose interior angles are all acute

a line that is added to a figure in a proof

the side opposite the vertex angle

an angle that has the base as a side with another angle

acute triangle

a triangle whose interior angles are all acute

auxiliary line

a line that is added to a figure in a proof