# Study sets matching "geometry geometric"

Study sets

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Space

Lines Intersection Thm

Plane Space Postulate

Plane Postulate

The set of all points

Two lines intersection is always one point

1.Every plane contains at least 3 different non-collinear poin…

3 collinear points lie in at least one plane, and 3 non-collin…

Space

The set of all points

Lines Intersection Thm

Two lines intersection is always one point

Triangle Sum Thm

Exterior Angle Thm

Base Angles Thm

Base Angles Thm Converse

The sum of the measures of the interior angles of a triangle i…

The measure of an exterior angle of a triangle is equal to the…

If two angles are congruent, then the sides opposite them are…

If two angles are congruent, then the sides opposite them are…

Triangle Sum Thm

The sum of the measures of the interior angles of a triangle i…

Exterior Angle Thm

The measure of an exterior angle of a triangle is equal to the…

Addition Property 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, the ac = bc

If a = b and c ≠ 0, the a/c = b/c

Addition Property of Equality

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

Subtraction Property of Equality

if a = b, then a-c = b-c

addition property

subtraction property

multiplication property

division property

1.) If a=b, then a+c=b+c... 2.) If a=b, and c=d, then a+c=b+d... 3.)…

1.) If a=b, then a-c=b-c... 2.) If a=b and c=d, then a-c=b-d... 3.)…

1.) If a=b, then ac=bc... 2.) Example: if 1/2xy=6 then xy=12

1.) If a=b, then a/c=b/c where x doesn't equal 0... 2.) Example:…

addition property

1.) If a=b, then a+c=b+c... 2.) If a=b, and c=d, then a+c=b+d... 3.)…

subtraction property

1.) If a=b, then a-c=b-c... 2.) If a=b and c=d, then a-c=b-d... 3.)…

Definition: IF 2 segments have the same…

Postulate: IF B is between A & C THEN A…

Definition: IF a point is a mid-point (…

Definition: IF "something" bisects a se…

Definition of Congruent Segments

Segment Addition Postulate

Definition of a Midpoint

Definition of Segment Bisector

Definition: IF 2 segments have the same…

Definition of Congruent Segments

Postulate: IF B is between A & C THEN A…

Segment Addition Postulate

Geometric mean of triangle when split d…

if x is the geo mean between a and b

Similar polygon's angles are

Polygon's sides are

Leg1/big hyp. =Pc1/leg1... Leg2/Big hyp.=Pc2/leg2... alt/Pc1 =Pc2/…

X/a = b/X

congruent

proportional

Geometric mean of triangle when split d…

Leg1/big hyp. =Pc1/leg1... Leg2/Big hyp.=Pc2/leg2... alt/Pc1 =Pc2/…

if x is the geo mean between a and b

X/a = b/X

Addition Property 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, the ac = bc

If a = b and c ≠ 0, the a/c = b/c

Addition Property of Equality

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

Subtraction Property of Equality

if a = b, then a-c = b-c

Point

Line

Line Segment

Ray

Named with a capital letter

Named using any two points on the line, or named using a lower…

Named using the two end points

Named using the endpoint first then one other point, endpoint…

Point

Named with a capital letter

Line

Named using any two points on the line, or named using a lower…

Reflective Property

Transitive Property

Symmetric Property

Addition Property of Equality

AB = AB... A quantity is equal to itself

If AB = BC and BC = EF, then AB = EF... If two qualities are equ…

If OA = AB, then AB = OA... If a quantity is equal to a second q…

If AB = DF and BC = CD, then AB + BC = DF + CD... If equal quant…

Reflective Property

AB = AB... A quantity is equal to itself

Transitive Property

If AB = BC and BC = EF, then AB = EF... If two qualities are equ…

Center of a Circle

Circle

Diameter

Pythagorean Theorem

The point inside the circle that is the same distance from all…

The set of all points in a plane that are the same distance, c…

The distance across a circle through its center. The line segm…

A theorem that states that in a right triangle, the square of…

Center of a Circle

The point inside the circle that is the same distance from all…

Circle

The set of all points in a plane that are the same distance, c…

Segment Addition Postulate

Angle Addition Postulate

Reflexive Property

XY≅VW, so VW≅XY

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

If D is on the interior Angle ABC then Angle ABD+DBC=ABC

AB ≅ AB or equal too( line on top of letters)

Symmetric

Segment Addition Postulate

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

Angle Addition Postulate

If D is on the interior Angle ABC then Angle ABD+DBC=ABC

Addition Property

Subtraction Property

Multiplication Property

Transitive Property

if a < b, then a + c < b + c;... if a < b and c < d, then a + c <…

if a < b, then a - c < b - c

if a < b and c > 0, then ac < bc

if a < b and b < c, then a < c

Addition Property

if a < b, then a + c < b + c;... if a < b and c < d, then a + c <…

Subtraction Property

if a < b, then a - c < b - c

Vertical Angles Theorem

Transitive Prop of Congruence

Congruent Complements Theorem

Congruent Supplement Theorem

Vertical angles are congruent

If two angles (segments/shapes/etc) are congruent to the same…

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

If two angles are supplementary to the same angle then they ar…

Vertical Angles Theorem

Vertical angles are congruent

Transitive Prop of Congruence

If two angles (segments/shapes/etc) are congruent to the same…

Addition Property 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, the ac = bc

If a = b and c ≠ 0, the a/c = b/c

Addition Property of Equality

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

Subtraction Property of Equality

if a = b, then a-c = b-c

Point

Line

Plane

cone

a dot or other punctuation mark, in particular a period.

a long, narrow mark or band.

a flat surface on which a straight line joining any two points…

a solid or hollow object that tapers from a circular or roughl…

Point

a dot or other punctuation mark, in particular a period.

Line

a long, narrow mark or band.

AX₂

AX₃

AX₂E

AX₄

MG & EG - Linear... Bond Angle: 180°

MG & EG - Trigonal Planar ... Bond Angle: 120°

MG: Bent ... EG: Trigonal Planar... Bond Angle: <120°

MG + EG : Tetrahedral... Bond angle: 109.5°

AX₂

MG & EG - Linear... Bond Angle: 180°

AX₃

MG & EG - Trigonal Planar ... Bond Angle: 120°

contrapositive

conjunction

converse

truth table

a statement that negates both the hypothesis and conclusion of…

two statements joined by "and"

a statement that exchanges the hypothesis and conclusion of th…

a method for organizing the truth values of statements

contrapositive

a statement that negates both the hypothesis and conclusion of…

conjunction

two statements joined by "and"