# Study sets matching "math geometry vocab theorems postulates"

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Segment Addition postulate

Alternate Interior Angles Theorem

Alternate Exterior Angles Theorem

Same-Side Interior Angles Theorem

AB+BC=AC

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

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

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

Segment Addition postulate

AB+BC=AC

Alternate Interior Angles Theorem

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

Segment Addition postulate

Alternate Interior Angles Theorem

Alternate Exterior Angles Theorem

Same-Side Interior Angles Theorem

AB+BC=AC

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

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

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

Segment Addition postulate

AB+BC=AC

Alternate Interior Angles Theorem

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

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

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Transitive Property

symmetric property

reflexive property

substitution property

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

if a=b then b=a

for any real number a, a=a

if a=b then a can be substituted for binary equation/expression

Transitive Property

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

symmetric property

if a=b then b=a

Complementary angles

Supplementary angles

Theorem

Vertical Angles

two angles whose measures have a sum of 90°

two angles who measures have a sum of 180°

a statement that can be proven

two angles formed by intersecting lines and facing in the oppo…

Complementary angles

two angles whose measures have a sum of 90°

Supplementary angles

two angles who measures have a sum of 180°

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

Alternate Interior Angles Theorem

Reflexive Property of Equality -real nu…

Reflexive Property of Equality -segment…

AB+BC=AC

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

For any real number a, a=a

For any segment AB, AB=AB

Segment Addition postulate

AB+BC=AC

Alternate Interior Angles Theorem

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

Right Angle Congruence Theorem

Vertical Angles Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

If 2 angles are right angles, then they are congruent

If 2 angles are vertical angles, then they are congruent

If 2 angles are supplementary to the same angle or congruent a…

If 2 angles are complementary to the same angle or congruent a…

Right Angle Congruence Theorem

If 2 angles are right angles, then they are congruent

Vertical Angles Theorem

If 2 angles are vertical angles, then they are congruent

Classifications of Quadrilaterals

Polygon Interior Angles Theorem

Corollary to the Polygon Interior... Angle…

Polygon Exterior Angles Theorem

The sum of the measures of the interior angles of a convex n-g…

The sum of the measures of the interior angles of a... quadrilate…

The sum of the measures of the exterior angles of a convex pol…

Classifications of Quadrilaterals

Polygon Interior Angles Theorem

The sum of the measures of the interior angles of a convex n-g…

they are congruent.... Right Angles Congr…

they are congruent.... Congruent Suppleme…

they are congruent.... Congruent Suppleme…

they are congruent.... Congruent Compleme…

If two angles are right angles, then

If two angles are supplementary to the same angle, then

If two angles are supplementary to congruent angles, then

If two angles are complementary to the same angle, then

they are congruent.... Right Angles Congr…

If two angles are right angles, then

they are congruent.... Congruent Suppleme…

If two angles are supplementary to the same angle, then

Lies, Rays, and Segments in Triangles

Perpendicular Bisector Theorem

Converse of the Perpendicular Bisector…

Angle Bisector Theorem

In a plane, if a point lies on the perpendicular bisector of a…

In a plane, if a point is equidistant from the endpoints of a…

If a point lies on the bisector of an angle, then it is ... equid…

Lies, Rays, and Segments in Triangles

Perpendicular Bisector Theorem

In a plane, if a point lies on the perpendicular bisector of a…

base angles of an isosceles triangle

base of an isosceles triangle

coordinate proof

corollary to a theorem

The two angles adjacent to the base of an isosceles triangle.

The side of an isosceles triangle that is not one of the legs.

A style of proof that involves placing geometric figures in a…

A statement that can be proved easily using the theorem.... The…

base angles of an isosceles triangle

The two angles adjacent to the base of an isosceles triangle.

base of an isosceles triangle

The side of an isosceles triangle that is not one of the legs.

Segment Addition Postulate

Angle Addition Postulate

Definition of Midpoint & Bisector

Definition of Angle Bisector

If B is between A and C then the length of AC is equal to the…

If P is in the interior of ∠RST then the measure of ∠RST is th…

A bisector bisects a line segment at its midpoint which divide…

A ray that divides an angle into two adjacent angles that are…

Segment Addition Postulate

If B is between A and C then the length of AC is equal to the…

Angle Addition Postulate

If P is in the interior of ∠RST then the measure of ∠RST is th…

Conclusion

Conditional Statement

Conjecture

Contrapositive

In a conditional statement (if-then statement), the statement…

A statement written in an if then form... A statement of the form…

An educated guess based on known information... pg 78

The statement formed by negating both the hypothesis(educated…

Conclusion

In a conditional statement (if-then statement), the statement…

Conditional Statement

A statement written in an if then form... A statement of the form…

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, c not equal to "zero", 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

Postulate 1.1 - Ruler Postulate

Postulate 1.2 - Segment Addition Postul…

Postulate 1.3 - Protractor Postulate

Postulate 1.4 - Angle Addition Postulate

The points on a line can be matched one to one with real numbe…

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

The measure of <AOB, which can be written as m<AOB, is equal t…

If P is in the interior of <RST, then the measure of <RST is e…

Postulate 1.1 - Ruler Postulate

The points on a line can be matched one to one with real numbe…

Postulate 1.2 - Segment Addition Postul…

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

segment addition postulate

Angle Addition postulate

Linear Pair Theorem

Congruent Supplements Theorem

If B is between A and C then Ab + Bc = Ac

If D is in the interior of angle ABC, then the measurement of…

If two angles form a linear pair, they are supplementary

If two angles are supplementary to the same angle, then the tw…

segment addition postulate

If B is between A and C then Ab + Bc = Ac

Angle Addition postulate

If D is in the interior of angle ABC, then the measurement of…

altitude of a triangle

Centroid

Circumcenter

Concurrent

The perpendicular segment from a vertex of a ... triangle to the…

The point of concurrency of the three medians of a triangle.

The point of concurrency of the three ... perpendicular bisectors…

Three or more lines, rays, or segments that ... intersect in the…

altitude of a triangle

The perpendicular segment from a vertex of a ... triangle to the…

Centroid

The point of concurrency of the three medians of a triangle.

Segment Addition postulate

Alternate Interior Angles Theorem

Alternate Exterior Angles Theorem

Same-Side Interior Angles Theorem

AB+BC=AC

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

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

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

Segment Addition postulate

AB+BC=AC

Alternate Interior Angles Theorem

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

Postulate - 2.1

Postulate - 2.2

Postulate - 2.3

Postulate - 2.4

Through any two points, there is exactly one line

Through any three non collinear points, there is exactly one p…

A line contains at least two points

A plane contains at least three non collinear points

Postulate - 2.1

Through any two points, there is exactly one line

Postulate - 2.2

Through any three non collinear points, there is exactly one p…

Triangle Longer Side Theorem

Triangle Larger Angle Theorem

Triangle Inequality Theorem

Pythagorean Theorem

If one side of a triangle is longer than another side, then th…

If one angle of a triangle is larger than another angle, then…

The sum of the lengths of any two sides of a triangle is great…

In a right triangle, the square of the length of the hypotenus…

Triangle Longer Side Theorem

If one side of a triangle is longer than another side, then th…

Triangle Larger Angle Theorem

If one angle of a triangle is larger than another angle, then…

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Complementary angles

Supplementary angles

Theorem

Vertical Angles

two angles whose measures have a sum of 90°

two angles who measures have a sum of 180°

a statement that can be proven

two angles formed by intersecting lines and facing in the oppo…

Complementary angles

two angles whose measures have a sum of 90°

Supplementary angles

two angles who measures have a sum of 180°

Collinear Points

Noncollinear Points

Coplanar Points

Noncoplanar

Points that are all in one line

Points that are not in one line

Points that are in one plane

Points that are in multiple planes

Collinear Points

Points that are all in one line

Noncollinear Points

Points that are not in one line

Corresponding Angles Converse

Alternate Interior Angles Converse

Alternative Exterior Angles Converse

Consecutive Interior Angles converse

If two lines are cut by a transversal so the corresponding ang…

If two lines are cut by a transversal so the alternate interio…

if two lines are cut by a transversal so the alternate exterio…

If two lines are cut by a transversal so the consecutive inter…

Corresponding Angles Converse

If two lines are cut by a transversal so the corresponding ang…

Alternate Interior Angles Converse

If two lines are cut by a transversal so the alternate interio…