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

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

Def. of Congruent

Def. of Midpoint

Def. of Segment bisector

Def. of Acute angle

If 2 segments, or angles equal each other they are congruent.

A point on a line segment that divides it into two equal parts.

A line, ray or segment which cuts another line segment into tw…

An angle that is less than 90 degrees.

Def. of Congruent

If 2 segments, or angles equal each other they are congruent.

Def. of Midpoint

A point on a line segment that divides it into two equal parts.

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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

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

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

Ruler Postulate

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

Segment Addition Postulate

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

ruler postulate 1

segment addition postulate 2

protractor postulate 3

angle addition postulate 4

every point can be paired with a number and any number can be…

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

you can use a protractor to measure angles

if point B lies in the interior of angle AOC then angle AOB +…

ruler postulate 1

every point can be paired with a number and any number can be…

segment addition postulate 2

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

Converse of the corresponding angles po…

Parallel postulate

Converse of the alternate exterior angl…

Converse of the consecutive interior an…

If corresponding angles are congruent, then the lines are para…

If given a line and a point not on that line, then there's onl…

If alternate exterior angles are congruent, then the lines are…

If consecutive interior angles are supplementary, then the lin…

Converse of the corresponding angles po…

If corresponding angles are congruent, then the lines are para…

Parallel postulate

If given a line and a point not on that line, then there's onl…

Perpendicular Lines

Angle Bisector

Midpoint

Congruent Angles

two lines that intersect to form right angles

The ray that divides the angle into two congruent adjacent ang…

The point that divides the segment into two congruent segments

Angles that have equal measure

Perpendicular Lines

two lines that intersect to form right angles

Angle Bisector

The ray that divides the angle into two congruent adjacent ang…

Corresponding angles postulate

Alternate interior angles theorem

Same-side interior angles theorem

Alternate exterior angles theorem

If a transversal intersects two parallel lines, then correspon…

If a transversal intersects two parallel lines, then the alter…

If a transversal intersects two parallel lines, then same-side…

If a transversal intersects two parallel lines, then alternate…

Corresponding angles postulate

If a transversal intersects two parallel lines, then correspon…

Alternate interior angles theorem

If a transversal intersects two parallel lines, then the alter…

Angle Addition Postulate

Segment Addition Postulate

Pythagorean Theorem

Linear Pair Theorem

If S is in the interior of PQR, then mPQS + mSQR = m PQR. (bas…

If B is between A & C, then AB + BC = AC. ... (basically means: 2…

In a right triangle, leg squared + leg squared = hypotenuse sq…

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

Angle Addition Postulate

If S is in the interior of PQR, then mPQS + mSQR = m PQR. (bas…

Segment Addition Postulate

If B is between A & C, then AB + BC = AC. ... (basically means: 2…

Midpoint Theorem

Linear Pair Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

If M is the midpoint of ĀB, then ĀM~MB

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

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

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

Midpoint Theorem

If M is the midpoint of ĀB, then ĀM~MB

Linear Pair Theorem

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

inductive reasoning

conjecture

counterexample

conditional

the observance of a pattern in order to form a conclusion

the conclusion you reach through inductive reasoning

an example that proves something false

sentence written in if-then format

inductive reasoning

the observance of a pattern in order to form a conclusion

conjecture

the conclusion you reach through inductive reasoning

segment addition postulate

angle addition postulate

law of detachment

law of syllogism

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

if point B is in the interior of angle AOC, then the measureme…

if a conditional is true, and the hypothesis is true, then its…

ex: if a quadrilateral is a square, then it contains 4 right a…

segment addition postulate

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

angle addition postulate

if point B is in the interior of angle AOC, then the measureme…

The segment addition postulate

The angle addition postulate

#1

#2

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

if point P lies in the exterior of <RST, then m<RSP+m<PST=m<RST

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

through any two points there is exactly one line

The segment addition postulate

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

The angle addition postulate

if point P lies in the exterior of <RST, then m<RSP+m<PST=m<RST

Addition Prop. Of... equality

Subtraction Prop. Of... equality

Symmetric Property... of Equality

Transitive Property of... Equality

If the same number is added to equal... numbers, then the sums ar…

If the same number is subtracted from equal... numbers, then the…

If a = b then b = a

If a = b and b = c then a = c

Addition Prop. Of... equality

If the same number is added to equal... numbers, then the sums ar…

Subtraction Prop. Of... equality

If the same number is subtracted from equal... numbers, then the…

Law of Detatchment

Law of Syllogism

Ruler Postulate

Segment Addition Postulate

if a conditional is true, and the hypothesis statement is true…

conclusion that the first statement must be equal to the hypot…

every segment is measureable

pieces add together; parts add to a whole.

Law of Detatchment

if a conditional is true, and the hypothesis statement is true…

Law of Syllogism

conclusion that the first statement must be equal to the hypot…

Postulate One (Ruler Postulate)

Postulate Two (Segment Addition Postula…

Postulate Three (Protractor Postulate)

Postulate Four (Angle Addition Postulat…

The points on a line can be paired with the real numbers so th…

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

On line AB, choose any point O between A and B. Ray OA is pair…

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

Postulate One (Ruler Postulate)

The points on a line can be paired with the real numbers so th…

Postulate Two (Segment Addition Postula…

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

reflexive propety

symmetric property

transitive property

addition postulate

a quantity is congruent to itself (a=a)

If a=b, then b=a

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

if equal quantities are added to equal quantities, the sums ar…

reflexive propety

a quantity is congruent to itself (a=a)

symmetric property

If a=b, then b=a

Congruent Complements Theorem

Right Angle Congruence Theorem

Vertical Angles Theorem

Corresponding Angles Postulate

If two angles are complementary to the same angle, then they a…

All right angles are congruent

If two angles are vertical angles, then they are congruent

Corresponding angle pairs are congruent

Congruent Complements Theorem

If two angles are complementary to the same angle, then they a…

Right Angle Congruence Theorem

All right angles are congruent

Angle Addition postulate

reflexive property of equality

symmetric property of equality

transitive property of equality

piece + piece = whole

everything = itself

a = b, b = a

a = b, b=c the a = c

Angle Addition postulate

piece + piece = whole

reflexive property of equality

everything = itself

complementary angles

congruent angles

congruent complements theorem

congruent segments

two angles whose measures have a sum of 90 degrees

angles that have the same measure

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

segments have the same length

complementary angles

two angles whose measures have a sum of 90 degrees

congruent angles

angles that have the same measure

Segment addition postulate

Angle addition postulate

Two point postulate

Line point postulate

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

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+CD=AC. If AB+BC=AC, then B is…

Angle addition postulate

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

tranversal is perpendicular to one of t…

corresponding angles are are congruent…

lines are parallel if corresponding ang…

lines are parallel if alternate interio…

If transversal is perpendicular to one of two parallel lines,…

it two lines are cut by a transversal, then corresponding angl…

If two lines are cut by a transversal and corresponding angles…

If two lines are cut by a transversal and alternate interior a…

tranversal is perpendicular to one of t…

If transversal is perpendicular to one of two parallel lines,…

corresponding angles are are congruent…

it two lines are cut by a transversal, then corresponding angl…

Ruler Postulate

Segment Addition Postulate

Angle Addition Postulate

Linear Pair Postulate

Every point on a line can be paired with a real number, the po…

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

If point B is in the interior of <AOC then m<AOB+m<BOC=m<AOC.

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

Ruler Postulate

Every point on a line can be paired with a real number, the po…

Segment Addition Postulate

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

Postulate 1.1

Postulate 1.2

Postulate 1.3

Postulate 1.4

Through any two points there is exactly one line... Given: two po…

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

If two distinct planes intersect, then they intersect in exact…

Through any three nonlinear points there is exactly one plane

Postulate 1.1

Through any two points there is exactly one line... Given: two po…

Postulate 1.2

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

P 1.1

P 1.2

P 1.3

P 1.4

Through any two points there is exactly one line

If two distinct lines intersect then they intersect at exactly…

If two distinct planes intersect then they intersect at exactl…

Through any three noncollinear points there is exactly one pla…

P 1.1

Through any two points there is exactly one line

P 1.2

If two distinct lines intersect then they intersect at exactly…

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 c is ALMOST equal to

Addition Property of Equality

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

Subtraction Property of Equality

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