# Study sets matching "math geometry vocab theorems postulates formulas"

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Segment Addition postulate

Alternate Interior Angles Theorem

Alternate Exterior Angles Theorem

Same-Side Interior Angles Theorem

AB+BC=AC

If two parallel lines are cut by a transversal then the pair o…

If two parallel lines are cut by a transversal then the pair o…

If two parallel lines are cut by a transversal then the pair o…

Segment Addition postulate

AB+BC=AC

Alternate Interior Angles Theorem

If two parallel lines are cut by a transversal then the pair o…

Postulate 1.1

Postulate 1.2

Postulate 1.3

Postulate 1.4

Through any two points there is exactly one line

If two distinct lines intersect, then they intersect in exactl…

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

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

If two distinct lines intersect, then they intersect in exactl…

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Segment Addition postulate

Alternate Interior Angles Theorem

Alternate Exterior Angles Theorem

Same-Side Interior Angles Theorem

AB+BC=AC

If two parallel lines are cut by a transversal then the pair o…

If two parallel lines are cut by a transversal then the pair o…

If two parallel lines are cut by a transversal then the pair o…

Segment Addition postulate

AB+BC=AC

Alternate Interior Angles Theorem

If two parallel lines are cut by a transversal then the pair o…

Segment Addition Postulate... (1.2)

The Midpoint Formula... (1.3)

the distance formula... (1.3)

angle addition postulate... (1.4)

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

[(x1 + x2)/2] , [(y₂ + y₁)/2)]

√ (x₂ - x₁)² + (y₂ - y₁)²

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

Segment Addition Postulate... (1.2)

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

The Midpoint Formula... (1.3)

[(x1 + x2)/2] , [(y₂ + y₁)/2)]

Slope-Intercept Form (most graph-able s…

Point-Slope Form (to get a point and sl…

Slope of Two Points

Midpoint of a Line

y=mx+b

y-y₁=m(x-x₁)

Y₂-Y₁ / X₂-X₁

(x₁+x₂ / 2) , (y₁+y₂ / 2)

Slope-Intercept Form (most graph-able s…

y=mx+b

Point-Slope Form (to get a point and sl…

y-y₁=m(x-x₁)

Two-Point Postulate

Line-Point Postulate

Line-Intersection Postulate

Three-Point Postulate

Through any 2 points there is only 1 line.

Every line contains at least 2 points.

If 2 lines intersect, then their intersection is only 1 point.

If you have 3 noncollinear points, then you have only 1 plane.

Two-Point Postulate

Through any 2 points there is only 1 line.

Line-Point Postulate

Every line contains at least 2 points.

Ruler Postulate

Segment Addition Postulate

Angle Addition Postulate

Linear Pair Postulate

The distance between A and B is the absolute value of the diff…

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

If P is in the interior of angle RST then RSP+PST

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

Ruler Postulate

The distance between A and B is the absolute value of the diff…

Segment Addition Postulate

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

Ruler Postulate

Segment Addition Postulate

Angle Addition Postulate

Protractor Postulate

The points on a number line can be matched 1-1 with the real n…

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

If point P is in the interior of angle RST, then ray SP create…

Consider the line OB with point A, not on the line. The ray th…

Ruler Postulate

The points on a number line can be matched 1-1 with the real n…

Segment Addition Postulate

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

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 they ar…

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…

Surface Area

Lateral Area right prism

Volume of right prism

Lateral Area of regular pyramid

lateral area + 2B

Ph (Perimeter x height)

Bh (total area of Base x height)

1/2 P ℓ (ℓ = slant height)

Surface Area

lateral area + 2B

Lateral Area right prism

Ph (Perimeter x height)

Postulate #1 Ruler Postulate

Postulate #2 Segment Addition Postulate

Distance Formula

Pythagorean Theorem

p. 17 The distance between points A and B, written as AB, is t…

p. 18 If B is between A and C, then AB plus BC equal AC. If AB…

p. 19 If A and B are points in a coordinate plane, then the di…

p. 20 Fundamental relation in Euclidean geometry among the thr…

Postulate #1 Ruler Postulate

p. 17 The distance between points A and B, written as AB, is t…

Postulate #2 Segment Addition Postulate

p. 18 If B is between A and C, then AB plus BC equal AC. If AB…

1-1-1

1-1-2

1-1-3

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 point

1-1-1

through any two points there is exactly one line

1-1-2

through any three non collinear points there is exactly one pl…

Postulate 5

Postulate 6

Postulate 7

Postulate 8

Through any two points, exactly one line exists

A line contains at least two points

If two lines intersect, then their intersection is exactly one…

Through any three non-collinear points, there exists exactly o…

Postulate 5

Through any two points, exactly one line exists

Postulate 6

A line contains at least two points

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…

Segment Addition postulate

Alternate Interior Angles Theorem

Reflexive Property of Equality -real nu…

Reflexive Property of Equality -segment…

AB+BC=AC

If two parallel lines are cut by a transversal then the pair o…

For any real number a, a=a

For any segment AB, AB=AB

Segment Addition postulate

AB+BC=AC

Alternate Interior Angles Theorem

If two parallel lines are cut by a transversal then the pair o…

Transitive Property

symmetric property

reflexive property

substitution property

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

if a=b then b=a

for any real number a, a=a

if a=b then a can be substituted for binary equation/expression

Transitive Property

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

symmetric property

if a=b then b=a

1 Ruler Postulate

2 Segment Addition Postulate

The midpoint formula

The distance formula

The distance between A and B is the absolute value of the diff…

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

(x1 + x2/2, y1+y2/2)

A(x1, y1) B(x2, y2)... [square root of] (x2 - x1)2 + (y2-y1)2

1 Ruler Postulate

The distance between A and B is the absolute value of the diff…

2 Segment Addition Postulate

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

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acute angle

right angle

obtuse angle

straight angle

an angle less than 90° but more than 0°

Angle that measures 90°... If ∠s are supp. and ≅ → right ∠

an angle whose measure is greater than 90° and less than 180°

an angle whose measure is 180°

acute angle

an angle less than 90° but more than 0°

right angle

Angle that measures 90°... If ∠s are supp. and ≅ → right ∠

Complementary Angles

Supplementary Angles

Theorem

Vertical Angles

Two angles whose measures add up to 90 degrees.

Two angles whose measures add up to 180 degrees.

A statement that can be proven.

Two angles formed by intersecting lines and facing in the oppo…

Complementary Angles

Two angles whose measures add up to 90 degrees.

Supplementary Angles

Two angles whose measures add up to 180 degrees.

The "Undefined Terms of Geometry"...

point

line

plane

point, line, plane

a location in space represented by a dot and usually assigned…

a straight path that extends without end in opposite directions

a flat surface that extends forever

The "Undefined Terms of Geometry"...

point, line, plane

point

a location in space represented by a dot and usually assigned…

Postulate

Ruler Postulate

Segment Addition Postulate

Midpoint Formula

Something we believe to be true but cannot prove.

The distance between two points is the absolute value of the d…

If a point is between to other points then they MUST be collin…

M = {(x2+x1)/2 , (y2+y1)/2} or reverse {(x1+x2)/2 , (y1+y2)/2}

Postulate

Something we believe to be true but cannot prove.

Ruler Postulate

The distance between two points is the absolute value of the d…