#### Study sets matching "honors theorems postulates postulates theorems advanced geometry"

#### Study sets matching "honors theorems postulates postulates theorems advanced geometry"

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

Postulate 5

Postulate 6

Postulate 7

Postulate 8

(1) A line contains at least two points (2) A plane contains a…

Through any two points there is exactly one line.

(1) Through any three points there is at least one plane (2) T…

If two points are in a plane, then the line that contains the…

Postulate 5

(1) A line contains at least two points (2) A plane contains a…

Postulate 6

Through any two points there is exactly one line.

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…

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.

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

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

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…

Segment Addition Postulate

Angle Addition Postulate

Two Point Postulate

Line-Point Postulate

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

If P is in the interior of angle RST, then the measure of angl…

Through any two points, there exists exactly one line.

A line contains at least two points.

Segment Addition Postulate

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

Angle Addition Postulate

If P is in the interior of angle RST, then the measure of angl…

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

If two angles are supplementary to the…

If two angles form a linear pair, then…

If two angles are complementary to the…

All right angles are congurent

Congruent Supplements Theorem

Linear Pair Theorem

Congruent Complements Theorem

Right Angle Congruence Theorem

If two angles are supplementary to the…

Congruent Supplements Theorem

If two angles form a linear pair, then…

Linear Pair Theorem

Complementary Angles

Congruent Angles

Congruent Complements Theorem

Congruent Segments

Two angles whose measures have the sum of 90 degrees.

Angles that have the same measure.

If two angles are complementary to the same angle or to congru…

Segments that have the same length.

Complementary Angles

Two angles whose measures have the sum of 90 degrees.

Congruent Angles

Angles that have the same measure.

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…

SSS Postulate (Side-side-side)

SAS Postulate (side-angle-side)

ASA Postulate (angle-side-angle

AAS Postulate (angle-angle-side)

If all three sides of one triangle are congruent to all three…

If two sides and the included angle of one triangle are congru…

If two angles and the included side of one triangle are congru…

If two angles and a non-included side of one triangle are cong…

SSS Postulate (Side-side-side)

If all three sides of one triangle are congruent to all three…

SAS Postulate (side-angle-side)

If two sides and the included angle of one triangle are congru…

Angle Addition Postulate

Segment Addition Postulate

Ruler Postulate

Protractor Postulates

2 adjacent angles = a whole; angle abc + cbd = abd

Segment 1 + Segment 2 = the Whole; ab+bc=ac

Points on a number line can be matched up with real numbers

Rays can be matched with real numbers

Angle Addition Postulate

2 adjacent angles = a whole; angle abc + cbd = abd

Segment Addition Postulate

Segment 1 + Segment 2 = the Whole; 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 and j=k, then a+j=b+k

If a=b, then a-c=b-c... If a=b and j=k, then a-j=b-k

If a=b, then wa=wb... if c=d and r=s, then cr=ds

If p=q, then p/q=q/p

Addition Property Of Equality

If a=b, then a+c=b+c... If a=b and j=k, then a+j=b+k

Subtraction Property of Equality

If a=b, then a-c=b-c... If a=b and j=k, then a-j=b-k

Through any two points

If two lines intersect then

If two distinct planes intersect then

Through any 3 non-collinear points

There is exactly one line.

They intersect at exactly one point.

They intersect at exactly one line.

There is one plane.

Through any two points

There is exactly one line.

If two lines intersect then

They intersect at exactly one point.

Same-Side Interior Angles POSTULATE

Alternate Interior Angles Theorem

Alternate Exterior Angles Theorem

Corresponding Angles Theorem

If a transversal intersects two parallel lines then the same-s…

If a transversal intersects two parallel lines then alternate…

If a transversal intersects two parallel lines then alternate…

If a transversal intersects two parallel lines then correspond…

Same-Side Interior Angles POSTULATE

If a transversal intersects two parallel lines then the same-s…

Alternate Interior Angles Theorem

If a transversal intersects two parallel lines then alternate…

Postulate

Ruler Postulate

Congruent Segments

Segment Addition Postulate

A subject we accept as being true without truly proving it

You can find the distance between any two point on a line.

Two segments that have the same length

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

Postulate

A subject we accept as being true without truly proving it

Ruler Postulate

You can find the distance between any two point on a line.

Linear Pair Postulate

vertical angles theorem

Protractor Postulate

Angle Addition Postulate

if 2 angles form a linear pair, then they are supplementary

vertical angles are congruent

every angles has a degree measure that can be measured with a…

if B is the interior of /_ AOC then m/_AOB + m/_BOC = /_AOC

Linear Pair Postulate

if 2 angles form a linear pair, then they are supplementary

vertical angles theorem

vertical angles are congruent

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

Every line segment has a length that can be measured with a ru…

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

Every angle has a degree measure that can be measured with a p…

If B is in the interior of <RST, then m<RST=m<RSP+m<PST

Ruler Postulate

Every line segment has a length that can be measured with a ru…

Segment Addition Postulate

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

Perpendicular bisector theorem

Consecutive interior angles postulate

Alternate interior angles theorem

Alternate exterior angles theorem

If a point is on the perpendicular bisector of a segment, then…

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

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

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

Perpendicular bisector theorem

If a point is on the perpendicular bisector of a segment, then…

Consecutive interior angles postulate

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

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…

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