# Study sets matching "geometry geometric"

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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

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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

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 matchi…

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

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

theorem

any statement that you can prove

two-column proof

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

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.)…

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 "ne…

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 "…

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

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…

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 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"

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…

Center of a circle

Circle

Conic section

diameter

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

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

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

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

Center of a circle

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

Circle

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

Center of a circle

Circle

Conic section

Diameter

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

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

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

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

Center of a circle

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

Circle

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

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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

Center of a circle

Circle

Conic section

diameter

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

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

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

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

Center of a circle

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

Circle

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

Circle

Decagon

Diameter

Hectagon

is the set of points in a plane that are equidistant from a gi…

is any polygon with ten sides and ten angles, having all sides…

is the length of the line through the center that touches two…

a polygon with 100 edges, vertices, and angles.

Circle

is the set of points in a plane that are equidistant from a gi…

Decagon

is any polygon with ten sides and ten angles, having all sides…

Linear Pair Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

Right Angle Congruence Theorem

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

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

If two angles are complementary to the same angle (or two cong…

All right angles are congruent.

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 (or two cong…