# Study sets matching "geometry theorems postulates"

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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

Area Formula for a Triangle in terms of…

Law of Sines

Law of Cos

Arc Addition Postulate

area= 1/2 x side1 x side2 x sin(included angle)

Sin(A)/a=Sin(B)/b=Sin(C)/c

a^2=b^2+c^2-2(bc)Cos(A)... b^2=a^2+c^2-2(ac)Cos(B)... c^2=a^2+b^2-2(…

The measure of an arc formed by 2 adjacent arcs is the sum of…

Area Formula for a Triangle in terms of…

area= 1/2 x side1 x side2 x sin(included angle)

Law of Sines

Sin(A)/a=Sin(B)/b=Sin(C)/c

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

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

Segment Addition Postulate

Angle Addition Postulate

Linear Pair Postulate

Subtractive Property of equality

If point B lies on a line segment AC then AB+BC= AC

Variable that lies on the interior of angle then add the degre…

Two angles are a linear pair if the angles are adjacent and th…

States that when both sides of an equation have the same numbe…

Segment Addition Postulate

If point B lies on a line segment AC then AB+BC= AC

Angle Addition Postulate

Variable that lies on the interior of angle then add the degre…

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

Angle Addition Postulate

Protractor Postulste

Ruler Postulate

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

If B is the Interior of < COA, then m< COB + m< BOA = m< COA

Given line AB and a point O on line AB. Consider rays OA and O…

On a number line, every point can be paired with a number and…

Segment Addition Postulate

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

Angle Addition Postulate

If B is the Interior of < COA, then m< COB + m< BOA = m< COA

Angle addition postulate

Postulate

Postulate

postulate

M<AOB + M<BOC = M<AOC... Any angles added together

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

through any two points there is exactly one line

Through any three points there is at least one plane and throu…

Angle addition postulate

M<AOB + M<BOC = M<AOC... Any angles added together

Postulate

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

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…

Definition of Congruent Segments

Definition of Congruent Angles

Segment Addition Postulate

Definition of Midpoint

If AB≅XY Then AB=XY

If ∠1≅∠3 Then m∠1=m∠3

I B is between A and C Then AB+BC_AC

If M is the midpoint of AB Then AM = MB

Definition of Congruent Segments

If AB≅XY Then AB=XY

Definition of Congruent Angles

If ∠1≅∠3 Then m∠1=m∠3

Reflexive

Symmetric

Transitive

Segment Addition Postulate

Line segment AB is congruent to line segment CD

If line segment AB is congruent to line segment CD, then line…

If line segment AB is congruent to line segment CD, and line s…

Two segments of a line added together to get the length of the…

Reflexive

Line segment AB is congruent to line segment CD

Symmetric

If line segment AB is congruent to line segment CD, then line…

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

Segment Addition Postulate

Angle Addition Postulate

Linear Pair Postulate

Parallel Postulate

If B is between = A & C then, AB + BC = AC. Then B is the midp…

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

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

If there is a line and a point not on a line, then there is ex…

Segment Addition Postulate

If B is between = A & C then, AB + BC = AC. Then B is the midp…

Angle Addition Postulate

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

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

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

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. (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…

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

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.

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.

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

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…