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

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

Postulate 1

Postulate 2

Postulate 3

Postulate 4

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

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

When angles can be paired to numbers

When a new angle is added because of a new point

Postulate 1

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

Postulate 2

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

The ruler postulate

Segment addition postulate

Protractor postulate

Angle addition postulate

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

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

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

If S is in the interior of angle PQR, then measure of angle P…

The ruler postulate

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

Segment addition postulate

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

if a conditional statement is true, th…

If two angles are right angles, then t…

If two angles are straight angles, the…

If angles are supplementary to the sam…

if p, then q ⇔ if ~q, then ~p

all rt ∠s ≅

all st ∠s ≅

if supp to same ∠ → ≅

if a conditional statement is true, th…

if p, then q ⇔ if ~q, then ~p

If two angles are right angles, then t…

all rt ∠s ≅

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Perpendicular Lines

A=A

A=B... B=A

If A=B & B=C, then A=C

Lines that intersect and form right angles

Reflexive Property of Equality

A=A

Symmetric Property of Equality

A=B... B=A

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 t…

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.

Addition Property

Subtraction Property

Multiplication Property

Division Property

Adding on both sides of the equal sign

Subtracting on both sides of the equal sign

Multiplying on both sides of the equal sign

Dividing on both sides of the equal sign

Addition Property

Adding on both sides of the equal sign

Subtraction Property

Subtracting on both sides of the equal sign

Postulate One (Ruler Postulate)

Postulate Two (Segment Addition Postul…

Postulate Three (Protractor Postulate)

Postulate Four (Angle Addition Postula…

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

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 pai…

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 t…

Postulate Two (Segment Addition Postul…

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

Addition Propery 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, then a÷c=b÷c

Addition Propery of Equality

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

Subtraction Property of Equality

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

Postulate #1

Postulate #2

Postulate #3

Postulate #4

RULER POSTULATE... 1) The points on a line can be paired with th…

SEGMENT ADDITION POSTULATE... If B is between A and C, then... AB +…

PROTRACTOR POSTULATE... a.)__>OA is paired with 0, and __>OB wit…

ANGLE ADDITION POSTULATE... If point B lies in the interior of <…

Postulate #1

RULER POSTULATE... 1) The points on a line can be paired with th…

Postulate #2

SEGMENT ADDITION POSTULATE... If B is between A and C, then... AB +…

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 i…

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

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 i…

Angle addition postulate

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

Postulate #1

Postulate #2

Postulate #3

Postulate #4

through any two points there is exactly one line

through any three noncollinear points there is exactly one pl…

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

if two lines intersect, then they intersect inn exactly one p…

Postulate #1

through any two points there is exactly one line

Postulate #2

through any three noncollinear points there is exactly one pl…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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

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 rea…

Segment Addition Postulate

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

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 exactl…

If two distinct planes intersect then they intersect at exact…

Through any three noncollinear points there is exactly one pl…

P 1.1

Through any two points there is exactly one line

P 1.2

If two distinct lines intersect then they intersect at exactl…

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…

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

Consider ⃖line OB⃗ and a point A on one side of line OB⃖⃗. Th…

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

1.1 Ruler Postulate

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

1.2 Segment Addition Postulate

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

Theorem 5.1

Theorem 5.11

Throw glue inequality theorem

Hinge theorem

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

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 grea…

If two sides of one triangle are congruent to two sides of an…

Theorem 5.1

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

Theorem 5.11

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

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

Segment congruence postulate

Segment addition postulate

Angle congruence postulate

Angle addition postulate

If two segements have the same length as measured by a fair r…

If point R is between points P and Q on a line then; PR + RQ…

If two angles have the same measure, then they are congruent.…

If point S is in the interior of angle PQR, then the measure…

Segment congruence postulate

If two segements have the same length as measured by a fair r…

Segment addition postulate

If point R is between points P and Q on a line then; PR + RQ…

Angle Addition Postulate

Segment Addition Postulate

Pythagorean Theorem

Linear Pair Theorem

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

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

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

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. (ba…

Segment Addition Postulate

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

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 con…

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

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

Angle Addition Postulate

Segment Addition Postulate

Pythagorean Theorem

Linear Pair Theorem

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

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

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

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.... (b…

Segment Addition Postulate

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

Angle Addition Postulate

Segment Addition Postulate

Pythagorean Theorem

Linear Pair Theorem

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

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

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

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.... (b…

Segment Addition Postulate

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

Complementary Angles

Supplementary Angles

Theorem

Vertical Angles

Two angles whose measures have a sum of 90

Two angles whose measures have a sum of 180

A statement that can be proven

Tow angles formed by intersecting lines and facing in the opp…

Complementary Angles

Two angles whose measures have a sum of 90

Supplementary Angles

Two angles whose measures have a sum of 180

Congruent Complements Theorem

Right Angle Congruence Theorem

Vertical Angles Theorem

Corresponding Angles Postulate

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

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…

Right Angle Congruence Theorem

All right angles are congruent

Law of Detatchment

Law of Syllogism

Ruler Postulate

Segment Addition Postulate

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

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

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 tru…

Law of Syllogism

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