#### Study sets matching "geometry geometric"

#### Study sets matching "geometry geometric"

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 poi…

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

Space

The set of all points

Lines Intersection Thm

Two lines intersection is always one point

Acute angle

Acute triangle

Adjacent angles

Base

Measures less than 90 degrees but more than 0 degrees

A triangle where all three internal angles are acute (less th…

Same common side same vertex

The number that is the stating point

Acute angle

Measures less than 90 degrees but more than 0 degrees

Acute triangle

A triangle where all three internal angles are acute (less th…

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 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.)…

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…

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

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…

Exterior Angle Thm

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

Definition: IF 2 segments have the sam…

Postulate: IF B is between A & C THEN…

Definition: IF a point is a mid-point…

Definition: IF "something" bisects a s…

Definition of Congruent Segments

Segment Addition Postulate

Definition of a Midpoint

Definition of Segment Bisector

Definition: IF 2 segments have the sam…

Definition of Congruent Segments

Postulate: IF B is between A & C THEN…

Segment Addition Postulate

Geometric mean of triangle when split…

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…

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

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 eq…

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

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

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 eq…

Center of a Circle

Circle

Diameter

Pythagorean Theorem

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

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

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

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 al…

Circle

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

Counterexample

Conjecture

Inductive Reasoning

Deductive Reasoning

An example that proves a conjecture is false. It could be a d…

A statement that is believed to be true.

The process of reaching a conclusion from a pattern, specific…

The process of reaching a conclusion by using logic based on…

Counterexample

An example that proves a conjecture is false. It could be a d…

Conjecture

A statement that is believed to be true.

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

contrapositive

conjunction

converse

truth table

a statement that negates both the hypothesis and conclusion o…

two statements joined by "and"

a statement that exchanges the hypothesis and conclusion of t…

a method for organizing the truth values of statements

contrapositive

a statement that negates both the hypothesis and conclusion o…

conjunction

two statements joined by "and"

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 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 lowe…

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 lowe…

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

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 a…

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

Vertical Angles Theorem

Vertical angles are congruent

Transitive Prop of Congruence

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

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 point…

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

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°