# Study sets matching "geometry postulates theorems chapter 2"

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Conclusion

Conditional Statement

Conjecture

Contrapositive

In a conditional statement (if-then statement), the statement…

A statement written in an if then form... A statement of the form…

An educated guess based on known information... pg 78

The statement formed by negating both the hypothesis(educated…

Conclusion

In a conditional statement (if-then statement), the statement…

Conditional Statement

A statement written in an if then form... A statement of the form…

Postulate 2.1

Postulate 2.2

Postulate 2.3

Postulate 2.4

Through any two points, there is exactly one line.

Through any three noncollinear points, there is exactly one pl…

A line contains at least two points.

A plane contains at least three noncollinear points.

Postulate 2.1

Through any two points, there is exactly one line.

Postulate 2.2

Through any three noncollinear points, there is exactly one pl…

definition of congruent segments

segment addition postulate

definition of congruent angles

angle addition postulate

two segments that have the same length

if b is between a and c, then ab+bc=ac

angles that have the same measure

if S is in the interior of angle PQR, then the measure of angl…

definition of congruent segments

two segments that have the same length

segment addition postulate

if b is between a and c, then ab+bc=ac

Law of Detachment

law of syllogism

(Postulate 2.1) Two Point Postulate

(Postulate 2.2) Line-Point Postulate

if the hypothesis of a true conditional statement is true, the…

if 'if hypothesis p, then conclusion q' is true and 'if hypoth…

through any two points, there exists exactly one line

a line contains at least two points

Law of Detachment

if the hypothesis of a true conditional statement is true, the…

law of syllogism

if 'if hypothesis p, then conclusion q' is true and 'if hypoth…

Equal Complements Theorem

Equal Supplements Theorem

Linear Pair Theorem

Vertical Angles Theorem

complements of the same (or equal) angle are equal in measure

supplements of the same (or equal) angle are equal in measure

if two angles for a linear pair, then the angles are supplemen…

vertical angles are congruent

Equal Complements Theorem

complements of the same (or equal) angle are equal in measure

Equal Supplements Theorem

supplements of the same (or equal) angle are equal in measure

Midpoint Theorem (Theorem 2-1)

Angle Bisector Theorem (Theorem 2-2)

Definition of Complementary Angles

Definition of Supplementary Angles

If M is the midpoint of segment AB, then AM= 1/2AB and MB=1/2AB

If AB bisects angle CAD then the measure of angle CAB = 1/2 of…

Two angles' sum that adds up to 90 degrees

2 angles whose sum is 180

Midpoint Theorem (Theorem 2-1)

If M is the midpoint of segment AB, then AM= 1/2AB and MB=1/2AB

Angle Bisector Theorem (Theorem 2-2)

If AB bisects angle CAD then the measure of angle CAB = 1/2 of…

Through any two points, there is exactl…

Through any three non-collinear points,…

A line contains at least.........?

A plane contains at least..............…

Through any two points, there is exactly one line.

Through any three noncollinear points, there is exactly one pl…

A line contains at least two points

A plane contains at least three non-collinear points

Through any two points, there is exactl…

Through any two points, there is exactly one line.

Through any three non-collinear points,…

Through any three noncollinear points, there is exactly one pl…

Right Angle Congruence Theorem

Congruent Supplement Theorem

Congruent Complement Theorem

Vertical Angle Theorem

States "All right angles are congruent"

States "If two angles are supplements of the same angle or of…

States "If two angles are complements of the same angle or of…

States "Vertical angles are congruent"

Right Angle Congruence Theorem

States "All right angles are congruent"

Congruent Supplement Theorem

States "If two angles are supplements of the same angle or of…

Linear Pair Theorem

Congruent Supplements Theorem

Right Angle Congruence Theorem

Congruent Complements Theorem

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

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

All right angles are congruent.

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

Linear Pair Theorem

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

Congruent Supplements Theorem

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

Linear Pair Theorem

Congruent Supplements Theorem

Right Angle Congruence Theorem

Congruent Complements Theorem

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

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

All right angles are congruent.

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

Linear Pair Theorem

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

Congruent Supplements Theorem

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

Theorem 2-1

Transversal

Postulate 10

Theorem 2-2

If two parallel planes are cut by a third plane, then the line…

A line that intersects two or more coplanar lines in different…

If two parallel lines are cut by a transversal, then correspon…

If two parallel lines are cut by a transversal, then alternate…

Theorem 2-1

If two parallel planes are cut by a third plane, then the line…

Transversal

A line that intersects two or more coplanar lines in different…

Postulate 2.1

Postulate 2.2

Postulate 2.3

Postulate 2.4

Through any two points, there is exactly one line.

Through any three noncollinear points, there is exactly one pl…

A line contains at least two points.

A plane contains at least three noncollinear points.

Postulate 2.1

Through any two points, there is exactly one line.

Postulate 2.2

Through any three noncollinear points, there is exactly one pl…

If B is between A and C, then

If point D lies in the interior of ㄥABC…

If ㄥABC is a straight angle and D is an…

A line contains at least _____ points;…

AB + BC = AC

mㄥABD + mㄥCBD = mㄥABC

mㄥABD + mㄥCBD = 180॰

2, 3, 4

If B is between A and C, then

AB + BC = AC

If point D lies in the interior of ㄥABC…

mㄥABD + mㄥCBD = mㄥABC

Conclusion

Conditional Statement

Conjecture

Contrapositive

In a conditional statement, the statement that immediately fol…

A statement of the form "If A, then B." The part following if…

An educated guess.

The statement formed by negating both the hypothesis and concl…

Conclusion

In a conditional statement, the statement that immediately fol…

Conditional Statement

A statement of the form "If A, then B." The part following if…

Midpoint Theorem

Angle Bisector Theorem

Vertical Angle Theorem

Theorem 2-4

If B is a midpoint of AC then AC=2AB; AC=2BC

If ray DB bisects angle ADC, then the measurement of angle ADC…

Vertical angles are equal

If two lines are perpendicular, then they form congruent adjac…

Midpoint Theorem

If B is a midpoint of AC then AC=2AB; AC=2BC

Angle Bisector Theorem

If ray DB bisects angle ADC, then the measurement of angle ADC…

definition of congruent segments

segment addition postulate

definition of congruent angles

angle addition postulate

two segments that have the same length

if b is between a and c, then ab+bc=ac

angles that have the same measure

if S is in the interior of angle PQR, then the measure of angl…

definition of congruent segments

two segments that have the same length

segment addition postulate

if b is between a and c, then ab+bc=ac

Postulate 11

Theorem six

Theorem 7

Theorem 8

If a transversal intersects two parallel lines then same side…

If a transversal intersects two parallel lines then alternate…

If a transversal intersects two parallel lines and correspondi…

If the transversal intersects two parallel lines then alternat…

Postulate 11

If a transversal intersects two parallel lines then same side…

Theorem six

If a transversal intersects two parallel lines then alternate…

Through any two points, there is exactl…

Through any three non-collinear points,…

A line contains at least.........?

A plane contains at least..............…

Through any two points, there is exactly one line.

Through any three noncollinear points, there is exactly one pl…

A line contains at least two points

A plane contains at least three non-collinear points

Through any two points, there is exactl…

Through any two points, there is exactly one line.

Through any three non-collinear points,…

Through any three noncollinear points, there is exactly one pl…

Conclusion

Conditional Statement

Conjecture

Contrapositive

In a conditional statement, the statement that immediately fol…

A statement of the form "If A, then B." The part following if…

An educated guess.

The statement formed by negating both the hypothesis and concl…

Conclusion

In a conditional statement, the statement that immediately fol…

Conditional Statement

A statement of the form "If A, then B." The part following if…

Contrapositive Rule (T 2.3.1)

Equivalent Disjunction Theorem (T 2.3.2)

Theorem 2.6.1

Theorem 2.7.1

A conditional is equivalent to its contrapositive.

The conditional p → q is logically equivalent to the disjuncti…

Segment congruence is an equivalence relation.

Angle congruence is an equivalence relation.

Contrapositive Rule (T 2.3.1)

A conditional is equivalent to its contrapositive.

Equivalent Disjunction Theorem (T 2.3.2)

The conditional p → q is logically equivalent to the disjuncti…

Postulate 2.1

Postulate 2.2

Postulate 2.3

Postulate 2.4

Through any two points, there is exactly one line.

Through any three noncollinear points, there is exactly one pl…

A line contains at least two points.

A plane contains at least three noncollinear points.

Postulate 2.1

Through any two points, there is exactly one line.

Postulate 2.2

Through any three noncollinear points, there is exactly one pl…

Through any two points, there is exactl…

Through any three non-collinear points,…

A line contains at least.........?

A plane contains at least..............…

Through any two points, there is exactly one line.

Through any three noncollinear points, there is exactly one pl…

A line contains at least two points

A plane contains at least three non-collinear points

Through any two points, there is exactl…

Through any two points, there is exactly one line.

Through any three non-collinear points,…

Through any three noncollinear points, there is exactly one pl…

Through any two points, there is exactl…

Through any three non-collinear points,…

A line contains at least.........?

A plane contains at least..............…

Through any two points, there is exactly one line.

Through any three noncollinear points, there is exactly one pl…

A line contains at least two points

A plane contains at least three non-collinear points

Through any two points, there is exactl…

Through any two points, there is exactly one line.

Through any three non-collinear points,…

Through any three noncollinear points, there is exactly one pl…

Two Point Postulate

Line Point Postulate

Line Intersection Postulate

Three Point Postulate

Through any two points there exists exactly one line

A line contains at least two points

If two lines intersect then their intersection is exactly one…

Through any three noncollinear points there exists exactly one…

Two Point Postulate

Through any two points there exists exactly one line

Line Point Postulate

A line contains at least two points