#### Study sets matching "geometry postulates theorems chapter 2"

#### Study sets matching "geometry postulates theorems chapter 2"

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 for…

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 for…

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 p…

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 p…

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 The…

Theorem 2-3: Congruent Complements The…

Theorem 2-4

Vertical angles are congruent.

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

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

All right angles are congruent.

Theorem 2-1: Vertical Angles Theorem

Vertical angles are congruent.

Theorem 2-2: Congruent Supplements The…

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

Syllogism

Pythagorean Theorem

Triangle Angle Sum Theroem

Area of circle

an argument which begins with at least two conditional statem…

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 statem…

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…

All right angles are congruent.

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

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…

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 for…

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 for…

Conclusion

Conditional Statement

Conjecture

Contrapositive

In a conditional statement, the statement that immediately fo…

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 conc…

Conclusion

In a conditional statement, the statement that immediately fo…

Conditional Statement

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

(Theorem 2.1, Midpoint Theorem) If M i…

(Theorem 2.2, Angle Bisector Theorem)…

(Theorem 2.3) Vertical angles are...

(Theorem 2.4) If 2 lines are perpendic…

1/2 of AB

1/2 m<ABC

congruent

congruent adjacent angles

(Theorem 2.1, Midpoint Theorem) If M i…

1/2 of AB

(Theorem 2.2, Angle Bisector Theorem)…

1/2 m<ABC

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…

All right angles are congruent.

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

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…

definition of congruent segments

definition of congruent angles

definition of right angles

definition of midpoint

Angle ABC is a right angle... The measure of angle ABC = 90 degr…

definition of congruent segments

definition of congruent angles

Through any two points, there is exact…

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 p…

A line contains at least two points

A plane contains at least three non-collinear points

Through any two points, there is exact…

Through any two points, there is exactly one line.

Through any three non-collinear points…

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

If two angles form a linear pair, they…

If two angles are supplementary, to th…

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…

If two angles form a linear pair, they…

If two angles form a linear pair, they are _____________

If two angles are supplementary, to th…

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

Postulate 2.1 - SAS (Side-Angle-Side)

Postulate 2.2 - ASA (Angle-Side-Angle)

Post 2.3 SSS (Side-Side-Side)

CPCTC (DEFINITION)

If two sides and the included angle of one triangle are congr…

If two angles and the included side of one triangle are congr…

If three sides of one triangle are congruent to the correspon…

If two triangles are congruent, the six pairs of correspondin…

Postulate 2.1 - SAS (Side-Angle-Side)

If two sides and the included angle of one triangle are congr…

Postulate 2.2 - ASA (Angle-Side-Angle)

If two angles and the included side of one triangle are congr…

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 ang…

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, the statement that immediately fo…

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 conc…

Conclusion

In a conditional statement, the statement that immediately fo…

Conditional Statement

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

Line

Plane

Line Segment

Ray

an infinite set of points that extends in two directions

named using one capitol letter or using four points in the pl…

the line segment AB consists of the points A and B and all po…

the ray AB consists of the initial point A and all points on…

Line

an infinite set of points that extends in two directions

Plane

named using one capitol letter or using four points in the pl…

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

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-Then/Conditional Statement

Hypothesis

Conclusion

Converse

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

"If" part of a conditional statement

"Then" part of a conditional statement

Formed by interchanging the hypothesis and conclusion of a co…

If-Then/Conditional Statement

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

Hypothesis

"If" part of a conditional statement

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 pl…

Two point postulate

Through any two points there is exactly one line

Line point postulate

A line contains at least two points

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<XB…

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 B is between A and C, then

If point D lies in the interior of ㄥAB…

If ㄥABC is a straight angle and D is a…

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 ㄥAB…

mㄥABD + mㄥCBD = mㄥABC