# Study sets matching "geometry theorems postulates"

Corresponding angles

alternate interior angles

alternate exterior angles

consecutive interior angles

if 2 parallel lines are cut by a transversal, then the pairs o…

if 2 angles lie between the 2 lines and on opposite sides of t…

if 2 angles lie outside the 2 lines and on opposite sides of t…

if 2 angles lie between the 2 lines and on the same side of th…

Corresponding angles

if 2 parallel lines are cut by a transversal, then the pairs o…

alternate interior angles

if 2 angles lie between the 2 lines and on opposite sides of t…

Angle Addition Postulate

Segment Addition Postulate

Pythagorean Theorem

Linear Pair Theorem

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

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 (basi…

Segment Addition Postulate

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

Angle Addition Postulate

Segment Addition Postulate

Pythagorean Theorem

Linear Pair Theorem

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

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

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 m<PQS + m<SQR = m <PQR.

Segment Addition Postulate

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

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

Pythagorean Theorum

Converse of Pythagorean Theorem

If two angles are right angles then the…

If two angles are straight angles then…

A^2+B^2=C^2

If A^2+B^2=C^2 then it's a right triangle.... If it's a right tri…

If two angles have the same measure then they are congruent

If two angles have the same measure then they are congruent

Pythagorean Theorum

A^2+B^2=C^2

Converse of Pythagorean Theorem

If A^2+B^2=C^2 then it's a right triangle.... If it's a right tri…

Reflexive Property

SSS

SAS

ASA

Any segment or angle is congruent to itself.

If there exists a correspondence between the vertices of two t…

If there exists a correspondence between the vertices of two t…

If there exists a correspondence between the vertices of two t…

Reflexive Property

Any segment or angle is congruent to itself.

SSS

If there exists a correspondence between the vertices of two t…

Parallel lines

Skew lines

Transversal

Corresponding Angles

coplanar lines that never intersect

lines that never intersect and noncoplanar

is a line in a plane that intersects at least two coplanar lin…

angles in corresponding position

Parallel lines

coplanar lines that never intersect

Skew lines

lines that never intersect and noncoplanar

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: 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.... (ba…

Segment Addition Postulate

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

Complementary Angles

Supplementary angles

theorem

Vertical angles

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 d

a statement that can be proven

4 angles formed by intersecting lines and facing in four diffe…

Complementary Angles

Two angles whose measures equal 90 degrees

Supplementary angles

two angles whose measures equal 180 d

Segment Addition Postulate

Protractor Postulate

Parallel Lines

Skew Lines

AB + BC = AC

Says that you can measure any angle

two lines that don't intersect and are coplanar

two lines that don't intersect and aren't coplanar

Segment Addition Postulate

AB + BC = AC

Protractor Postulate

Says that you can measure any angle

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

Segment Addition Postulate

Protractor Postulate

Parallel Lines

Skew Lines

AB + BC = AC

Says that you can measure any angle

two lines that don't intersect and are coplanar

two lines that don't intersect and aren't coplanar

Segment Addition Postulate

AB + BC = AC

Protractor Postulate

Says that you can measure any angle

PBT

CPBT

RAT

≅ST

Perpendicular Bisector Theorem: If two points are equidistant…

Converse Perpendicular Bisector Theorem: If a point is on perp…

Right Angle Theorem: If two angles are both congruent and supp…

Congruent Supplement Theorem: If two angles are congruent, the…

PBT

Perpendicular Bisector Theorem: If two points are equidistant…

CPBT

Converse Perpendicular Bisector Theorem: If a point is on perp…

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°

Congruent Segments

Congruent Angles

Midpoint

Segment Bisector

Segments whose lengths are equal.

Angles whose measures are equal.

Point that divides a segment into 2 congruent segments.

Line (or part of a line) that intersects the segment at its mi…

Congruent Segments

Segments whose lengths are equal.

Congruent Angles

Angles whose measures are equal.

Linear Pair Postulate

Segment Addition Postulate

Angle Addition Postulate

Addition Property

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

If you have a line made up of pieces, add the small pieces to…

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

If you add the same numbers to each side of an equation, both…

Linear Pair Postulate

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

Segment Addition Postulate

If you have a line made up of pieces, add the small pieces to…

Vertical Angles Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

Congruent Right Angles Theorem

Vertical angles are congruent.

If two angles are supplements of the same angles (or of congru…

If two angles are complements of the same angles (or of congru…

All right angles are congruent.

Vertical Angles Theorem

Vertical angles are congruent.

Congruent Supplements Theorem

If two angles are supplements of the same angles (or of congru…

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…

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…

Postulate 1 :Ruler

Postulate 2: Segment Addition

Postulate 3: Protractor

Postulate 4: Angle Addition

1: The point on a line can be paired with the real numbers in…

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

1:How to set up a protractor... 2:How to measure an angle

Angles have to add up to 180º

Postulate 1 :Ruler

1: The point on a line can be paired with the real numbers in…

Postulate 2: Segment Addition

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

Postulate 1

Postulate 2

Postulate 3

Postulate 4

A line contains at least 2 points;... A plane contains at least 3…

Through any 2 points there is exactly one line.

Through any 3 points there is at least 1 plane, and through an…

If 2 points are a plane, then the line that contains the point…

Postulate 1

A line contains at least 2 points;... A plane contains at least 3…

Postulate 2

Through any 2 points there is exactly one line.

Linear Pair

Vertical Angles

Midpoint

Segment Bisector

Pair of adjacent angles whose non-common side are opposite rays

Two angles whose sides are opposite rays

A point that divides the segment into two congruent parts

The point, line, or ray that intersects at its midpoint

Linear Pair

Pair of adjacent angles whose non-common side are opposite rays

Vertical Angles

Two angles whose sides are opposite rays

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

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, t…

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

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

Ruler Postulate

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

Segment Addition Postulate

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

Postulate 1-1

Postulate 1-2

Postulate 1-3

Postulate 1-4

Through any two points, there is exactly one line.

Lines can only intersect at exactly one point.

Planes can only intersect at exactly one line.

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

Postulate 1-1

Through any two points, there is exactly one line.

Postulate 1-2

Lines can only intersect at exactly one point.