# Study sets matching "honors theorems postulates postulates theorems advanced geom…"

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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

Through any two points there is exactly…

Through any three noncollinear points t…

If two points lie in a plane, then the…

If two lines intersect, they then inter…

Through any two points there is exactly one line

Through any three noncollinear points there is exactly one pla…

If two points lie in a plane, then the line containing those p…

If two lines intersect, they then intersect at exactly one poi…

Through any two points there is exactly…

Through any two points there is exactly one line

Through any three noncollinear points t…

Through any three noncollinear points there is exactly one pla…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The points on a line can be put into a one-to-one corresponden…

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

Given line AB and a point O on line AB, all rays that can be d…

If S is in the interior of <PQR, then m<PQS + m<SQR = m<PQR

Ruler Postulate

The points on a line can be put into a one-to-one corresponden…

Segment Addition Postulate

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

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

Same-side Interior Angle Postulate... If a…

Alternate Interior Angles Theorem... If a…

Corresponding Angles Theorem... If a trans…

Alternate Exterior Angles Theorem... If a…

supplementary... m∠1 + m∠2 = 180

congruent

corresponding

exterior

Same-side Interior Angle Postulate... If a…

supplementary... m∠1 + m∠2 = 180

Alternate Interior Angles Theorem... If a…

congruent

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

Postulates

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Statements that are accepted as true without proof

1. The points on a line can be paired with the real numbers in…

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

On AB in a given plane, choose any point O between A and B. Co…

Postulates

Statements that are accepted as true without proof

Ruler Postulate

1. The points on a line can be paired with the real numbers in…

theorem 1

theorem 2

theorem 3

theorem 4

If two angles are right angles, then they are congruent

if two angles are straight angles, then they are congruent

If a conditional statement is true, the the contrapositive of…

If angles are supplementary to the same angle, then they are c…

theorem 1

If two angles are right angles, then they are congruent

theorem 2

if two angles are straight angles, then they are congruent

Largest Angle Theorem

Longest side theorem

Vertical angles theorem

Congruent supplements or complements th…

If two sides of a triangle are not congruent then the larger a…

if two angles of a triangle are not congruent then the longer…

vertical angles are congruent

if two angles are supplements or complements of the same angle…

Largest Angle Theorem

If two sides of a triangle are not congruent then the larger a…

Longest side theorem

if two angles of a triangle are not congruent then the longer…

Midpoint definition

Segment bisector definition

Congruent segments definition

Angle addition postulate

A point that divides the segment into two congruent segments

a point, line, ray, or other segment that intersects a segment…

Segments that have the same length

Two little angles make one big angle

Midpoint definition

A point that divides the segment into two congruent segments

Segment bisector definition

a point, line, ray, or other segment that intersects a segment…

coplanar, do not intersect

equidistant

do not intersect

noncoplanar, do not intersect

Two lines are parallel iff they are ____ and __ ___ ____

Two lines are parallel iff they are everywhere ____

Two planes are parallel iff they _____ ____

Two lines are skew iff they are ____ and they __ ___ _____

coplanar, do not intersect

Two lines are parallel iff they are ____ and __ ___ ____

equidistant

Two lines are parallel iff they are everywhere ____

Midpoint

Supplementary Angles

Perpendicular Lines

Congruent Angles

The point that divides, or bisects, a segment into two congrue…

Two angles whose measures have the sum of 180 degrees

Two lines that intersect to form a right angle

Angles that have the same measure

Midpoint

The point that divides, or bisects, a segment into two congrue…

Supplementary Angles

Two angles whose measures have the sum of 180 degrees

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

Postulate 1-1-1

Postulate 1-1-2

Postulate 1-1-3

Postulate 1-1-4

Through any two points there is exactly one line

Through any three noncollinear points there is exactly one pla…

If two points lie in a plane, then the line containing those p…

If two lines intersect, then they intersect in exactly one poi…

Postulate 1-1-1

Through any two points there is exactly one line

Postulate 1-1-2

Through any three noncollinear points there is exactly one pla…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

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

Consider OB and a point A on one side of OB. The rays of the f…

If P is the interior of angleRST, then the measure of angleRSP…

Ruler Postulate

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

Segment Addition Postulate

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

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°

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The points on a line can be paired with the real numbers in su…

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

On line AB in a given plane, choose any point O between A and…

If point B lies in the interior of angle AOC, then the measure…

Ruler Postulate

The points on a line can be paired with the real numbers in su…

Segment Addition Postulate

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

Theorem 6-1: The Exterior Angle Theorem

Theorem 6-2

Theorem 6-3

Corollary 1

The measure of an exterior angle of a triangle is greater than…

If one side of a triangle is longer than a second side, then t…

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

The perpendicular segment from a point to a line is the shorte…

Theorem 6-1: The Exterior Angle Theorem

The measure of an exterior angle of a triangle is greater than…

Theorem 6-2

If one side of a triangle is longer than a second side, then t…

postulate 1-1

postulate 1-2

postulate 1-3

postulate 1-4

through any 2 points there is exactly 1 line

if 2 distinct lines intersect, then they intersect in exactly…

if 2 distinct planes intersect, then they intersect in exactly…

through any three non-collinear points there is exactly 1 plane

postulate 1-1

through any 2 points there is exactly 1 line

postulate 1-2

if 2 distinct lines intersect, then they intersect in exactly…

Angle addition postulate "if point b li…

Ruler postulate "the points on a line c…

Segment addition postulate "if B is bet…

Protractor postulate "on line AB in a g…

If point B lies in the interior of angle AOC then the measure…

The points on a line can be paired with the real numbers in su…

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

On the segment AB in a given plane, choose any point, O, betwe…

Angle addition postulate "if point b li…

If point B lies in the interior of angle AOC then the measure…

Ruler postulate "the points on a line c…

The points on a line can be paired with the real numbers in su…

2 point, 1 line postulate

3 nonconllinear points, 1 plane postula…

segment addition postulate

angle addition postulate

through any two points, there exists only one line

through any three points not on one line, there exists only on…

AB+BC=AC... if AB+BC=AC, then B lies between A and C

m angle XYZ= m angle XYW+ m angle WYZ

2 point, 1 line postulate

through any two points, there exists only one line

3 nonconllinear points, 1 plane postula…

through any three points not on one line, there exists only on…

Postulate 1-1-1

Postulate 1-1-2

Postulate 1-1-3

Postulate 1-1-4

Through any two points there is exactly one line.

Through any three noncollinear points there is exactly one pla…

If two points lie in a plane, then the line containing those p…

If two lines intersect, then they intersect at exactly one poi…

Postulate 1-1-1

Through any two points there is exactly one line.

Postulate 1-1-2

Through any three noncollinear points there is exactly one pla…

Tangent Theorem

Converse of the Tangent Theorem

Tangent Segments Theorem

Chords and Arcs Theorem

If a line is tangent to a circle, then the line is perpendicul…

If a line is perpendicular to a radius of a circle at its endp…

If 2 segments are tangent to a circle from the same external p…

Congruent chords intercept congruent arcs in a circle or in co…

Tangent Theorem

If a line is tangent to a circle, then the line is perpendicul…

Converse of the Tangent Theorem

If a line is perpendicular to a radius of a circle at its endp…

Theorem 7-1: SAS Similarity Theorem

Theorem 7-2: SSS Similarity Theorem

Theorem 7-3: Triangle Proportionality T…

Theorem 7-4: Triangle Angle-Bisector Th…

If an angle of one triangle is congruent to an angle of anothe…

If the sides of two triangles are in proportion, then the tria…

If a line parallel to one side of triangle intersects the othe…

If a ray bisects an angle of a triangle, then it divides the o…

Theorem 7-1: SAS Similarity Theorem

If an angle of one triangle is congruent to an angle of anothe…

Theorem 7-2: SSS Similarity Theorem

If the sides of two triangles are in proportion, then the tria…

If-Then Transitive Property

Addition Property

Subtraction Property

Multiplication Property

Given: "If A then B, and if B then C." You can conclude "If A…

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

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

If a=b, then ac=bc.

If-Then Transitive Property

Given: "If A then B, and if B then C." You can conclude "If A…

Addition Property

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