How can we help?

You can also find more resources in our Help Center.

Corresponding Angles Postulate

Corresponding Angles Converse

Alternate Interior Angles Theorem

Alternate Interior Angles Converse

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

If two lines have corresponding angles that are congruent, th…

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

If two lines have alternate interior angles that are congruen…

Corresponding Angles Postulate

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

Corresponding Angles Converse

If two lines have corresponding angles that are congruent, th…

Biconditional

Compound Statement

Conclusion

Conditional Statement

the conjunction of a conditional statement and its converse

2 or more statements joined together by a conjunction

in a conditional, the statement that follows the word "then"

a statement that can be written in "if-then form"

Biconditional

the conjunction of a conditional statement and its converse

Compound Statement

2 or more statements joined together by a conjunction

Axiom/Postulate

Biconditional

Conclusion

Conditional

An accepted statement of fact

The combination of a conditional statement and its converse

The part of a conditional that follows the "then"

An "if-then" statement

Axiom/Postulate

An accepted statement of fact

Biconditional

The combination of a conditional statement and its converse

Reflexive Property of Equality

Symmetric Property of Equality

Substitution/ Transitive Property of E…

Addition Property

Simply states that a value is equal to itself. This property…

If a = b, then b = a or AB=CD, CD=AB

If we have a,b & c. a=b and b=c then a=c

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

Reflexive Property of Equality

Simply states that a value is equal to itself. This property…

Symmetric Property of Equality

If a = b, then b = a or AB=CD, CD=AB

Segment Addition Postulate

Same Side Interior Angle Theorem

Isosceles Triangle Theorem

No Choice Theorem / 3rd Angles Theorem

If three points A, B, and C are collinear and B is between A…

If two lines are cut by a transversal, the same side interior…

If two sides of a ∆ are congruent, then the angles opposite t…

If two angles of a ∆ are congruent to two angles of another ∆…

Segment Addition Postulate

If three points A, B, and C are collinear and B is between A…

Same Side Interior Angle Theorem

If two lines are cut by a transversal, the same side interior…

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Segment Addition Postulate

Same Side Interior Angle Theorem

Isosceles Triangle Theorem

No Choice Theorem / 3rd Angles Theorem

If three points A, B, and C are collinear and B is between A…

If two lines are cut by a transversal, the same side interior…

If two sides of a ∆ are congruent, then the angles opposite t…

If two angles of a ∆ are congruent to two angles of another ∆…

Segment Addition Postulate

If three points A, B, and C are collinear and B is between A…

Same Side Interior Angle Theorem

If two lines are cut by a transversal, the same side interior…

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Definition of Adjacent Angles

Definition of Linear Pair

Definition of Midpoint

Definition of Angle Bisector

Two angles are adjacent iff they share an endpoint and a comm…

Two angles are a linear pair iff they are adjacent and non-co…

A point is a midpoint iff it cuts a segment into two ≅ segmen…

A point, line, ray, or segment is a segment bisector iff it c…

Definition of Adjacent Angles

Two angles are adjacent iff they share an endpoint and a comm…

Definition of Linear Pair

Two angles are a linear pair iff they are adjacent and non-co…

definition of congruent angles

definition of congruent segments

definition of complementary angles

definition of supplementary angles

two angles are congruent if and only if the angles have the s…

two segments are congruent iff they have the same length

complementary angles are two angles whose measures have the s…

supplementary angles are two angles whose measures have the s…

definition of congruent angles

two angles are congruent if and only if the angles have the s…

definition of congruent segments

two segments are congruent iff they have the same length

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Segment Addition Postulate

Definition of Midpoint

Definition of Segment Bisector

Definition of Congruent Segments

If B is between A and C, then AB + BC = AC

A line, segment, ray, or plane that bisects a segment, that l…

Segment Addition Postulate

If B is between A and C, then AB + BC = AC

Definition of Midpoint

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Side-Side-Side Similarity (SSS)

Side-Angle-Side Similarity (SAS)

Angle-Angle Similarity (AA)

Corresponding Angles

Where 3 sides of one triangle are proportional to 3 correspon…

Where 2 sides of one triangle are proportional to 2 correspon…

Where 2 angles of one triangle are congruent to 2 angles of a…

Are Congruent

Side-Side-Side Similarity (SSS)

Where 3 sides of one triangle are proportional to 3 correspon…

Side-Angle-Side Similarity (SAS)

Where 2 sides of one triangle are proportional to 2 correspon…

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Angle Addition Postulate

Subtraction Property

Substitution Property

Angle Bisector Theorem

p 18 diagram. If point B lies in the interior of ^AOC, then m…

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

If a = b, then either a or b may be substituted for the other…

If BD is the bisector of ^ABC, then m^ABD = 1/2 m^ABC and m^D…

Angle Addition Postulate

p 18 diagram. If point B lies in the interior of ^AOC, then m…

Subtraction Property

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

Segment Addition Postulate

Definition of a Congruent Segment

Definition of a Segment Bisector

Definition of a Midpoint

If three points A, B, C are collinear and B is between A and…

Segments that have the same length (Used when you switch from…

a line, segment, ray, or plane that intersects a segment at i…

divides the segment into two congruent segments

Segment Addition Postulate

If three points A, B, C are collinear and B is between A and…

Definition of a Congruent Segment

Segments that have the same length (Used when you switch from…

Segment Addition Postulate

Definition of a Congruent Segment

Definition of a Segment Bisector

Definition of a Midpoint

If three points A, B, C are collinear and B is between A and…

Segments that have the same length (Used when you switch from…

a line, segment, ray, or plane that intersects a segment at i…

divides the segment into two congruent segments

Segment Addition Postulate

If three points A, B, C are collinear and B is between A and…

Definition of a Congruent Segment

Segments that have the same length (Used when you switch from…

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

addition property of equality

subtraction property of equality

multiplication property of equality

division property of equality

What reason do you write down if adding the same thing to bot…

What reason do you write down if subtracting the same thing t…

What reason do you write down if multiplying the same thing o…

What reason do you write down if dividing the same thing on b…

addition property of equality

What reason do you write down if adding the same thing to bot…

subtraction property of equality

What reason do you write down if subtracting the same thing t…

Complementary

Vertical angles

Substitution/ transitive

Perpendicular

Two angles that the sum equals 90°

each of the pairs of opposite angles made by two intersecting…

If a is congruent to B and B is congruent to c, then a is con…

Two lines that intersect and form a right angle.

Complementary

Two angles that the sum equals 90°

Vertical angles

each of the pairs of opposite angles made by two intersecting…

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 a**c=b**c

if a=b and c doesnt=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

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Transversal

If parallel lines are cut by a transve…

If parallel lines are cut by a transve…

If parallel lines are cut by a transve…

a line that intersects 2 or more other lines

corresponding angles are congruent

alternate interior angles are congruent

alternate exterior angles are congruent

Transversal

a line that intersects 2 or more other lines

If parallel lines are cut by a transve…

corresponding angles are congruent

Midpoint

Angle Bisector

Halves of Equals

Perpendicular lines

A midpoint divides a segment into 2 congruent halves

and angle bisector divides angles into 2 congruent angles

Halves of equals are equal

perpendicular lines form 90 degree angles

Midpoint

A midpoint divides a segment into 2 congruent halves

Angle Bisector

and angle bisector divides angles into 2 congruent angles

Reflexive Property

Addition Property

Subtraction Property

Definition of Congruent Segments

everything is equal to itself... ex. AB=AB

you can add the same # on both sides and the equation will st…

You can subtract the same # from both sides and they will sti…

Reflexive Property

everything is equal to itself... ex. AB=AB

Addition Property

you can add the same # on both sides and the equation will st…

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

corresponding angles postulate

alternate interior angles theorem

same-side interior angles theorem

converse of the alternate interior ang…

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

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

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

If two coplanar lines are cut by a transversal so that a pair…

corresponding angles postulate

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

alternate interior angles theorem

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

Definition

Theorem

Corollary

Postulate

statement that describes a mathematical object and can be wri…

mathematical statement which we can prove to be true

proposition that follows from one already proven; a natural c…

proposition that is accepted as true in order to provide a ba…

Definition

statement that describes a mathematical object and can be wri…

Theorem

mathematical statement which we can prove to be true

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Complementary

Vertical angles

Substitution/ transitive

Perpendicular

Two angles that the sum equals 90°

each of the pairs of opposite angles made by two intersecting…

If a is congruent to B and B is congruent to c, then a is con…

Two lines that intersect and form a right angle.

Complementary

Two angles that the sum equals 90°

Vertical angles

each of the pairs of opposite angles made by two intersecting…

Law of syllogism

addition property of equality

subtraction property of equality

multiplication property of equality

if p ➡q and q➡r are true conditional statements then p➡r is t…

if a=b, then a+c=b+c

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

if a=b, then ac=bc

Law of syllogism

if p ➡q and q➡r are true conditional statements then p➡r is t…

addition property of equality

if a=b, then a+c=b+c

Definition of Congruent Segments

Definition of Congruent Angles

Angle Addition Postulate

Segment Addition Postulate

if AB=CD then segment AB and segment CD are congruent

Angles with the same measure. If angle 1 is equal to angle 2,…

the measure of angle AOB + the measure of angle BOC equals th…

AB+BC=AC

Definition of Congruent Segments

if AB=CD then segment AB and segment CD are congruent

Definition of Congruent Angles

Angles with the same measure. If angle 1 is equal to angle 2,…

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, 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