# Study sets matching "postulates geometry math theorems corollaries"

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Exterior angle inequality thm

Addition prop of inequality

Subtraction prop of inequality

Multiplication prop of inequality

the meas. of an ext. angle of a triangle is > than either remo…

If a > b and c > or = to d, then a + c > b + d

If a > b and c = d, or if c = d and a > b, then a - c > b - d,…

If a > b and c > 0, then ca > cb... If a > b and c < 0, then ca <…

Exterior angle inequality thm

the meas. of an ext. angle of a triangle is > than either remo…

Addition prop of inequality

If a > b and c > or = to d, then a + c > b + d

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

If point B lies in the interior of <AOC…

If two parallel lines are cut by a tran…

If two lines are cut by a transversal a…

Segment Addition Postulate

Angle Addition Postulate

n is parallel to m

<1 is congruent to <2

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

Segment Addition Postulate

If point B lies in the interior of <AOC…

Angle Addition Postulate

Theorem 5.3 (Circumcenter Theorem)

Theorem 5.4 (Angle Bisector Theorem)

Theorem 5.5 (Converse of the Angle Bise…

Theorem 5.6 (Incenter Theorem)

The perpendicular bisectors of a triangle intersect at a point…

If a point is on the bisectors of an angle, then it is equidis…

If a point in the interior of an angle is equidistant from the…

The angle bisectors of a triangle intersect at a point called…

Theorem 5.3 (Circumcenter Theorem)

The perpendicular bisectors of a triangle intersect at a point…

Theorem 5.4 (Angle Bisector Theorem)

If a point is on the bisectors of an angle, then it is equidis…

Postulate 1-1-1

Postulate 1-1-2

Post 1-1-3

Post 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…

Side-Side-Side (SSS)

Side-Angle-Side (SAS)

Angle-Side-Angle (ASA)

Angle-Angle-Side (AAS)

If three sides of one triangle are congruent to the second tri…

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

If two sides and the included side of one triangle are congrue…

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

Side-Side-Side (SSS)

If three sides of one triangle are congruent to the second tri…

Side-Angle-Side (SAS)

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

A point on the perpendicular bisector o…

A point equidistant from the endpoints…

A point on the bisector of an angle is

A point on or in the interior of an ang…

equidistant from the endpoints of the segments

perpendicular bisector of the segement

equidistant from the sides of the angle

sides of an angle lies on the bisector of the angle

A point on the perpendicular bisector o…

equidistant from the endpoints of the segments

A point equidistant from the endpoints…

perpendicular bisector of the segement

Linear Pair Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

Vertical Angles Theorem

If two angles form a linear pair, then they are supplementary.

If two angles are supplementary to the same angle (or to 2 con…

If two angles are complementary to the same angle (or to 2 con…

If two angles are vertical angles, then they are congruent.

Linear Pair Theorem

If two angles form a linear pair, then they are supplementary.

Congruent Supplements Theorem

If two angles are supplementary to the same angle (or to 2 con…

Linear Pair Postulate

Corresponding Angles Postulate

Two Perps Theorem

Perpendicular Transversal Theorem

If two angles form a linear pair, then they are supplementary.

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

If two lines are perpendicular to the same line, then the line…

If a line is perpendicular to one of two parallel lines, then…

Linear Pair Postulate

If two angles form a linear pair, then they are supplementary.

Corresponding Angles Postulate

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

linear pair theorem

congruent supplements theorem

right angle congruence theorem

congruent complements theorem

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

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

all right angles are congruent

if two angles are complementary to the same angle, then the tw…

linear pair theorem

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

congruent supplements theorem

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

If two angles of one triangle are congr…

Each angle of an equiangular triangle m…

In a triangle there can be at most

Supplementary Angle Theorem

then the third angles are congruent too

sixty degrees

one right angle or one obtuse angle

All angles which are supplementy to the same or equal angles a…

If two angles of one triangle are congr…

then the third angles are congruent too

Each angle of an equiangular triangle m…

sixty degrees

Corresponding Angles Postulate

Alternate Interior Angles Theorem

Alternate Exterior Angles Theorem

Same-Side Interior AngleTheorem

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

If two parallel lines are cut by a transversal then that pairs…

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

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

Corresponding Angles Postulate

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

Alternate Interior Angles Theorem

If two parallel lines are cut by a transversal then that pairs…

Corollaries

Corollaries

Corollaries

Supplementary Angle Theorem

If two angles of one triangle are congruent to two angles of a…

Each angle of an equiangular triangle measures sixty degrees

In a triangle there can be at most one right angle or one obtu…

All angles which are supplementy to the same or equal angles a…

Corollaries

If two angles of one triangle are congruent to two angles of a…

Corollaries

Each angle of an equiangular triangle measures sixty degrees

Post 1-1-1

Post 1-1-2

Post 1-1-3

Post 1-1-4

Through any two points there is exactly one line

Through any three non-collinear points there is exactly one pl…

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

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

Post 1-1-1

Through any two points there is exactly one line

Post 1-1-2

Through any three non-collinear points there is exactly one pl…

Theorem 4.1

Theorem 4.2

Theorem 4.3

Corollary 4.1

Angle Sum Theorem- The sum of the measures of the angles of a…

Third Angle Theorem- If two angles of one triangle are congrue…

Exterior Angle Theorem- The measure of an exterior angle of a…

The acute angles of a right triangle are complementary.

Theorem 4.1

Angle Sum Theorem- The sum of the measures of the angles of a…

Theorem 4.2

Third Angle Theorem- If two angles of one triangle are congrue…

1.1 Ruler Postulate

1.2 Segment Addition Postulate

1.3 Protractor Postulate

1.4 Angle Addition Postulate

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

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

Consider <-OB-> and a point A on one side of line <-OB->. The…

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

1.1 Ruler Postulate

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

1.2 Segment Addition Postulate

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

linear pair theorem

congruent supplements theorem

right angle congruence theorem

congruent complements theorem

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

if two angles are supplementary to the same angle (or to two c…

all right angles are congruent

if two angles are complementary to the same angle (or to two c…

linear pair theorem

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

congruent supplements theorem

if two angles are supplementary to the same angle (or to two c…

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…

postulate 5

postulate 6

postulate 7

postulate 8

through any two points there exists exactly one line

a line contains at least two points

if two distinct lines intersect, then their intersection is ex…

through any 3 non-collinear points there exists exactly one pl…

postulate 5

through any two points there exists exactly one line

postulate 6

a line contains at least two points

Segment Addition P

Protractor P

Angle Addition P

Pythagorean T

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 in the interior of angle PQR, then the measure of angle P…

In a right triangle, the sum of the squares of the lengths of…

Segment Addition P

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

Protractor P

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

Corresponding angles postulate

alternate interior angles theorem

Alternate exterior angles theorem

Consecutive Interior Angles theorem

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

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

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

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

Corresponding angles postulate

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

alternate interior angles theorem

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

AA∼

SAS∼

SSS∼

After proving triangles similar...

Angle-Angle Similarity ... If 2 angles of 1 triangle are congruen…

Side-Angle-Side Similarity If an angle of one triangle is cong…

Side-Side-Side Similarity ... If the sides of 2 triangles are in…

Corresponding angles/sides of similar triangles are congruent

AA∼

Angle-Angle Similarity ... If 2 angles of 1 triangle are congruen…

SAS∼

Side-Angle-Side Similarity If an angle of one triangle is cong…

Postulate 1.1

Postulate 1.2

Postulate 1.3

Postulate 1.4

Through any 2 points there is exactly one line.

If two lines intersect then they intersect at exactly one poin…

If two planes intersect then they intersect at exactly one lin…

Through any 3 Non-Collinear points there is exactly one plane.

Postulate 1.1

Through any 2 points there is exactly one line.

Postulate 1.2

If two lines intersect then they intersect at exactly one poin…

THM 2-1/ MIDPOINT THM

THM 2-2/ ANGLE BISECTOR THM

THM 2-3

THM 2-4

If M is the midpoint of AB, then:... AM = 1/2AB and MB = 1/2AB

If BX is the bisector of ABC, then: mABX = 1/2mABC and mXBC =…

Vertical angles are congruent

If two lines are perpendicular, then they form congruent adjac…

THM 2-1/ MIDPOINT THM

If M is the midpoint of AB, then:... AM = 1/2AB and MB = 1/2AB

THM 2-2/ ANGLE BISECTOR THM

If BX is the bisector of ABC, then: mABX = 1/2mABC and mXBC =…

Segment Addition Postulate

Angle Addition Postulate

Point Number Postulate

Line Postulate

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

If point B lies in the interior of <AOC, then m<AOB + m<BOC =…

A line contains at least two points; a plane contains at least…

Through any two points there is exactly one line.

Segment Addition Postulate

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

Angle Addition Postulate

If point B lies in the interior of <AOC, then m<AOB + m<BOC =…