#### Study sets matching "geometry geometric"

#### Study sets matching "geometry geometric"

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…

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,…

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

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"

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

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

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…

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.

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

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°

Inductive Reasoning

Deductive Reasoning

Conjecture

Counterexample

Process of ruling a statement true because specific cases are…

Using logic and facts to draw conclusions

A statement made as a result of inductive or deductive reason…

Example that proves a conjecture false

Inductive Reasoning

Process of ruling a statement true because specific cases are…

Deductive Reasoning

Using logic and facts to draw conclusions

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

theorem

two-column proof

Linear Pair Theorem

Congruent Supplements Theorem

any statement that you can prove

list the steps of the proof in the left column, and the match…

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

If two angles are supplementary to the same angle (or to two…

theorem

any statement that you can prove

two-column proof

list the steps of the proof in the left column, and the match…

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, then a

**c = b**cif a = b and c does not equal 0, then 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

No. of Attachments: 2... Lone Pairs: 0

No. of Attachments: 3... Lone Pairs: 0

No. of Attachments: 2... Lone Pairs: 1

No. of Attachments: 4... Lone Pairs: 0

Family: Linear... Shape: Linear... Hybrid: sp (triple bond)

Family: Trigonal Planar... Shape: Trigonal Planar... Hybrid: sp2

Family: Trigonal Planar... Shape: Bent... Hybrid: sp2

Family: Tetrahedral... Shape: Tetrahedral... Hybrid: sp3

No. of Attachments: 2... Lone Pairs: 0

Family: Linear... Shape: Linear... Hybrid: sp (triple bond)

No. of Attachments: 3... Lone Pairs: 0

Family: Trigonal Planar... Shape: Trigonal Planar... Hybrid: sp2

Segment Addition Postulate

Angle Addition Postulate

Congruent Angles

Complementary Angles

line AB + line BC=line AC

m<ABC + m<CBD = m<ABD

Angles with the same measure

2 angles with the sum of 90 degrees

Segment Addition Postulate

line AB + line BC=line AC

Angle Addition Postulate

m<ABC + m<CBD = m<ABD

Center of a circle

Circle

Conic section

diameter

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

Is the set of points which are all the same distance (its rad…

a figure formed by the intersection of a plane and a right ci…

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

Center of a circle

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

Circle

Is the set of points which are all the same distance (its rad…

Center of a circle

Circle

Conic section

diameter

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

Is the set of points which are all the same distance (its rad…

a figure formed by the intersection of a plane and a right ci…

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

Center of a circle

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

Circle

Is the set of points which are all the same distance (its rad…

triangle

rectangular solid

cone

parallelogram

Has 3 sides and 3 angles.

Has 6 faces, all angles are 90 degrees, all pairs of opposite…

Has a circular base and tapers to the vertex.

Has 4 sides; opposite sides have equal lengths and are parall…

triangle

Has 3 sides and 3 angles.

rectangular solid

Has 6 faces, all angles are 90 degrees, all pairs of opposite…

Inductive Reasoning

Conjecture

Counterexample

Conditional Statement

The process of reasoning that a rule or statement is true bec…

A statement you believe to be true based on inductive reasoni…

One example that shows the conjecture is false.

If P, then Q. P -> Q ... P is the Hypothesis and Q is the conclu…

Inductive Reasoning

The process of reasoning that a rule or statement is true bec…

Conjecture

A statement you believe to be true based on inductive reasoni…

line

midpoint

plane

point

an infinite path where each connected piece is a segment

the point halfway between the endpoints of a segment; bisects…

a flat surface that continues forever and has no thickness (l…

a location that does not take up space; usually labeled with…

line

an infinite path where each connected piece is a segment

midpoint

the point halfway between the endpoints of a segment; bisects…

Conditional Statement

Converse

Inverse

Contrapostive

a statement that can be written in the form "If p, then q"

statement formed by exchanging the hypothesis and conclusion…

Statement formed by negating the hypothesis and conclusion "n…

statement formed by switching and negating the hypothesis and…

Conditional Statement

a statement that can be written in the form "If p, then q"

Converse

statement formed by exchanging the hypothesis and conclusion…

collinear

line segment

midpoint of a segment

bisector of a segment

two or more points that are on the same line

a collinear set of points bounded by two endpoints

a point dividing a line segment into two equal lengths

a line dividing a line segment into two equal lengths

collinear

two or more points that are on the same line

line segment

a collinear set of points bounded by two endpoints

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.

Inductive Reasoning

conjecture

counterexample

conditional statement

the process of reasoning that a rule or statement is true bec…

a statement you believe to be true based on inductive reasoning

an example that shows a conjecture is false

if p then q

Inductive Reasoning

the process of reasoning that a rule or statement is true bec…

conjecture

a statement you believe to be true based on inductive reasoning

Reflexive Property

Symmetric Property

Transitive Property

Addition Postulate

A quantity is congruent (equal) to itself. a = a

If a = b, then b = a.

If a = b and b = c, then a = c.

If equal quantities are added to equal quantities, the sums a…

Reflexive Property

A quantity is congruent (equal) to itself. a = a

Symmetric Property

If a = b, then b = a.

geometric transformation

preimage

translation

reflection

a mapping between two sets of points such that each points in…

each point in the preimage has a unique image

a slide in a horizontal or vertical direction

a flip across a line, new figure is a mirror image of the ori…

geometric transformation

a mapping between two sets of points such that each points in…

preimage

each point in the preimage has a unique image

Area Of A Rectangle

Base

Altitiude

Height

The Area of a rectangle is the product of its base and height…

any part of a parallelogram's sides(most likely the bottom).

A segment perpendicular to the line containing that base draw…

The length of the altitude

Area Of A Rectangle

The Area of a rectangle is the product of its base and height…

Base

any part of a parallelogram's sides(most likely the bottom).

geometric transformation

preimage

translation

reflection

a mapping between two sets of points such that each points in…

each point in the preimage has a unique image

a slide in a horizontal or vertical direction

a flip across a line, new figure is a mirror image of the ori…

geometric transformation

a mapping between two sets of points such that each points in…

preimage

each point in the preimage has a unique image

2.1 angle

2.1 line

2.1 midpoint

2.1 plane

a figure formed by two rays with a common endpoint

a straight path formed by two rays with a common endpoint

a point that divides a segment into two congruent segments

a flat surface that has no thickness and extends forever

2.1 angle

a figure formed by two rays with a common endpoint

2.1 line

a straight path formed by two rays with a common endpoint

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The point on a line can be put into a one to one corresponden…

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

Given ↔AB and a point O on ↔AB, all rays that can be drawn fr…

If S is in the interior of ∠PQR, then m∠PQS + m∠SQR = m∠PQR.

Ruler Postulate

The point on a line can be put into a one to one corresponden…

Segment Addition Postulate

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

Inductive Reasoning

Conjecture

Counterexample

Conditional Statement

The process of reasoning that a rule or statement is true bec…

A statement you believe to be true based on inductive reasoni…

One example that shows the conjecture is false.

If P, then Q. P -> Q ... P is the Hypothesis and Q is the conclu…

Inductive Reasoning

The process of reasoning that a rule or statement is true bec…

Conjecture

A statement you believe to be true based on inductive reasoni…