# 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

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…

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…

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…

Theorem 2-1: Vertical Angles Theorem

Theorem 2-2: Congruent Supplements Theo…

Theorem 2-3: Congruent Complements Theo…

Theorem 2-4

Vertical angles are congruent.

If two angles are supplements of the same angle (or of congrue…

If two angles are complements of the same angle (or of congrue…

All right angles are congruent.

Theorem 2-1: Vertical Angles Theorem

Vertical angles are congruent.

Theorem 2-2: Congruent Supplements Theo…

If two angles are supplements of the same angle (or of congrue…

Syllogism

Pythagorean Theorem

Triangle Angle Sum Theroem

Area of circle

an argument which begins with at least two conditional stateme…

a^2 + b^2 = c^2

in a triangle, the sum of the angles equal 180*

(pie)r^2

Syllogism

an argument which begins with at least two conditional stateme…

Pythagorean Theorem

a^2 + b^2 = c^2

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, Midpoint Theorem) If M is…

(Theorem 2.2, Angle Bisector Theorem) I…

(Theorem 2.3) Vertical angles are...

(Theorem 2.4) If 2 lines are perpendicu…

1/2 of AB

1/2 m<ABC

congruent

congruent adjacent angles

(Theorem 2.1, Midpoint Theorem) If M is…

1/2 of AB

(Theorem 2.2, Angle Bisector Theorem) I…

1/2 m<ABC

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…

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…

Law of Detachment

Law of Syllogism

Addition Property of Equality

Subtraction property of equality

If rain, then clouds

If P to Q and Q to R are true then P to R is true

Add both sides

Subtract both sides

Law of Detachment

If rain, then clouds

Law of Syllogism

If P to Q and Q to R are true then P to R is true

If two angles form a linear pair, they…

If two angles are supplementary, to the…

All right angles are congruent.

If two angles are complementary to the…

If two angles form a linear pair, they are _____________

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

All right angles are ___________________.

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

If two angles form a linear pair, they…

If two angles form a linear pair, they are _____________

If two angles are supplementary, to the…

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

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…

Theorem 2-1 [Vertical Angles Theorem]

Theorem 2-2 [Congruent Supplements Theo…

Theorem 2-3 [Congruent Supplements Theo…

Theorem 2-4

Vertical angles are congruent.

If two angles are supplements of the same angles (or of congru…

If two angles are complements of the same angle (or of congrue…

All right angles are congruent.

Theorem 2-1 [Vertical Angles Theorem]

Vertical angles are congruent.

Theorem 2-2 [Congruent Supplements Theo…

If two angles are supplements of the same angles (or of congru…

Postulate 2.1... Points and a line

Postulate 2.2... Three points and a plane

Postulate 2.3

Postulate 2.4

Through any two points, there is exactly one line

Through any three points not on the same line, there is exactl…

A line contains at least two points

A plane contains at least three points not on the same line

Postulate 2.1... Points and a line

Through any two points, there is exactly one line

Postulate 2.2... Three points and a plane

Through any three points not on the same line, there is exactl…

2.1 Postulate

2.2 Postulate

2.3 Postulate

2.4 Postulate

through any two points there is one line

through any three noncollinear points there is one plane

one line has at least two points

one plane has at least three noncollinear points

2.1 Postulate

through any two points there is one line

2.2 Postulate

through any three noncollinear points there is one plane

Two point postulate

Line point postulate

Line intersection postulate

Three point postulate

Through any two points there is exactly one line

A line contains at least two points

If two lines intersect and then they intersect at exactly one…

Through any three noncollinear points there is exactly one pla…

Two point postulate

Through any two points there is exactly one line

Line point postulate

A line contains at least two points

line 1

plane 1

line 2

plane 2

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

line 1

Through any two points, there is exactly one line

plane 1

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

Segment Addition Postulate

Angle Addition Postulate

Midpoint Theorem

Angle Bisector Theorem

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

If point B lies on the interior of <AOC, then m<AOB + m<BOC =…

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

If BX is the bisector of <ABC, then m<ABX = 1/2m<ABC and m<XBC…

Segment Addition Postulate

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

Angle Addition Postulate

If point B lies on the interior of <AOC, then m<AOB + m<BOC =…

If-Then/Conditional Statement

Hypothesis

Conclusion

Converse

A statement whose basic format is "If p, the q." There are mul…

"If" part of a conditional statement

"Then" part of a conditional statement

Formed by interchanging the hypothesis and conclusion of a con…

If-Then/Conditional Statement

A statement whose basic format is "If p, the q." There are mul…

Hypothesis

"If" part of a conditional statement

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…