# 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…

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…

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…

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…

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…

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.

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)]

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)

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

1-1-1

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 #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…

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…

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

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.

base angles of an isosceles triangle

base of an isosceles triangle

coordinate proof

corollary to a theorem

The two angles adjacent to the base of an isosceles triangle.

The side of an isosceles triangle that is not one of the legs.

A style of proof that involves placing geometric figures in a…

A statement that can be proved easily using the theorem.... The…

base angles of an isosceles triangle

The two angles adjacent to the base of an isosceles triangle.

base of an isosceles triangle

The side of an isosceles triangle that is not one of the legs.

addition property of equality

subtraction property of equality

multiplication property of equality

division 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 d…

If equal numbers are multiplied by the same number, then the p…

If equal numbers are divided by the same number, then the quot…

addition property of equality

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

subtraction property of equality

If the same number is subtracted from equal numbers then the d…

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…

Triangle Longer Side Theorem

Triangle Larger Angle Theorem

Triangle Inequality Theorem

Pythagorean Theorem

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

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 great…

In a right triangle, the square of the length of the hypotenus…

Triangle Longer Side Theorem

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

Triangle Larger Angle Theorem

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

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…

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 ∠