# Study sets matching "kapitel 2 math geometry proofs"

Study sets

Diagrams

Classes

Users

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

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

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Corresponding angles Postulate

Alternate Interior Angles Theorem

Alternate Exterior Angles Theorem

Consecutive Interior Angles Theorem

If lines m and n are parallel, Then corresponding angles forme…

CONVERSE OF THE THEOREM... If the alternate interior angles forme…

If lines are parallel, Then the alternate exterior angles form…

If lines are parallel, Then consecutive interior angles formed…

Corresponding angles Postulate

If lines m and n are parallel, Then corresponding angles forme…

Alternate Interior Angles Theorem

CONVERSE OF THE THEOREM... If the alternate interior angles forme…

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

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

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Given, to prove, figure, statements, re…

Given, figure, previous statements

Congruent

Congruent segments

5 parts to a deductive proof

Three sources of statements

Two objects that have the same size and shape

Segments that have equal lengths

Given, to prove, figure, statements, re…

5 parts to a deductive proof

Given, figure, previous statements

Three sources of statements

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 ac=bc

if a=b and c doesnt 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

Segment Addition Postulate

Definition of a Congruent

Definition of a Bisector

Definition of a Midpoint

If three points A, B, C are collinear and B is between A and C…

Segments or angles that have the same measure (Used when you s…

a line or segment that intersects a segment or angle and divid…

divides the segment into two congruent segments

Segment Addition Postulate

If three points A, B, C are collinear and B is between A and C…

Definition of a Congruent

Segments or angles that have the same measure (Used when you s…

Segment Addition Postulate

Definition of a Congruent

Definition of a Bisector

Definition of a Midpoint

If three points A, B, C are collinear and B is between A and C…

Segments or angles that have the same measure (Used when you s…

a line or segment that intersects a segment or angle and divid…

divides the segment into two congruent segments

Segment Addition Postulate

If three points A, B, C are collinear and B is between A and C…

Definition of a Congruent

Segments or angles that have the same measure (Used when you s…

def. of supplementary angles

def. of complementary angles

def. of midpoint

angle addition postulate

2 angles whose sum is 180* ... can be adjacent or non-adjacent

2 angles whose sum is 90*... can be adjacent or non-adjacent

a point which is equal distance from 2 other points

if P is in the interior of <RST, then m<RSP + m<PST= <RST

def. of supplementary angles

2 angles whose sum is 180* ... can be adjacent or non-adjacent

def. of complementary angles

2 angles whose sum is 90*... can be adjacent or non-adjacent

triangle sum theorem

exterior angle theorem

definition of congruent triangles

Third angles theorem

the some of interior angles in a triangle is 180 degrees

an exterior angle is equal to the sum of the two remote interi…

two polygons are congruent if and only if all pairs of corresp…

if two angles on one triangle are congruent to the two angles…

triangle sum theorem

the some of interior angles in a triangle is 180 degrees

exterior angle theorem

an exterior angle is equal to the sum of the two remote interi…

Segment Addition Postulate

Definition of a Congruent Segment

Definition of a Segment Bisector

Definition of a Midpoint

If three points A, B, C are collinear and B is between A and C…

Segments that have the same length (Used when you switch from…

a line, segment, ray, or plane that intersects a segment at it…

divides the segment into two congruent segments

Segment Addition Postulate

If three points A, B, C are collinear and B is between A and C…

Definition of a Congruent Segment

Segments that have the same length (Used when you switch from…

Complementary Angles

Vertical angles

Substitution/ transitive

Perpendicular

Two angles that the sum equals 90°

each of the pairs of opposite angles made by two intersecting…

If a is congruent to B and B is congruent to c, then a is cong…

Two lines that intersect and form a right angle.

Complementary Angles

Two angles that the sum equals 90°

Vertical angles

each of the pairs of opposite angles made by two intersecting…

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

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

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Addition POE

Congruent symbol (quizlet purposes)

Angle Symbol (quizlet purposes)

Subtraction POE

if a=b, then a+c = b+c

=~ is this symbol-----------------[ }

/__ is this symbol ------------------[ }

If a=b, then a-c = b-c

Addition POE

if a=b, then a+c = b+c

Congruent symbol (quizlet purposes)

=~ is this symbol-----------------[ }

Midpoint Theorem

Segment Addition Postulate

Reflexive Property

Symmetric Property

if m is the midpoint of AB, then AM is congruent to MB

if b is between A and C, then AB+BC=AC

AB is congruent to AB; angle ABC is congruent to ABC (can be u…

if AB is congruent to CD, then CD is congruent to AB

Midpoint Theorem

if m is the midpoint of AB, then AM is congruent to MB

Segment Addition Postulate

if b is between A and C, then AB+BC=AC

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

if a=b, then a+c=b+c ex. if x-2=5, then x=7

if a=b, then a-c=b-c ex. if 3x+5=15, then 3x=10

if a=b, then a

**c=b**c ex. if x/2=25, then x =50if a=b, then a/c=b/c ex. 3x=15, then x=5

Addition Property of Equality

if a=b, then a+c=b+c ex. if x-2=5, then x=7

Subtraction Property of Equality

if a=b, then a-c=b-c ex. if 3x+5=15, then 3x=10

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

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

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

proof

two-column proof

congruent segments

congruent

a convincing argument that uses deductive reasoning.

lists each statement on the left and the justification for eac…

segments with equal lengths (or ≅)... congruent segments can be…

the same shape and size. ... two shapes are congruent when you ca…

proof

a convincing argument that uses deductive reasoning.

two-column proof

lists each statement on the left and the justification for eac…

a∥b and x∥y

Given

∠1 ≅ ∠11

Corresponding Angles

Step 1 Statement:... The first statement is always the Given stat…

Step 1 Reason:... "Given" is always the first reason.

Ms. A recommends circling all the angles referenced in the pro…

Step 3 Reason:... Identify the angle pair relationship that makes…

a∥b and x∥y

Step 1 Statement:... The first statement is always the Given stat…

Given

Step 1 Reason:... "Given" is always the first reason.

a∥b,x∥y

Given

Alternate Exterior Angles

∠7 ≅ ∠13

Step 1 Statement:... The first statement is always the Given stat…

Step 1 Reason:... "Given" is always the first reason.

Step 2 Statement:... Identify the angle pair relationship between…

Ms. A recommends circling all the angles referenced in the pro…

a∥b,x∥y

Step 1 Statement:... The first statement is always the Given stat…

Given

Step 1 Reason:... "Given" is always the first reason.

vertical angles are congruent

right angles are congruent

definition of congruent angles

definition of angle bisector

2 angles whose sides form 2 pairs of opposites rays

All right angles are congruent

Two angles are congruent if and only if they are equal

ray that divides an angle into 2 congruent angles

vertical angles are congruent

2 angles whose sides form 2 pairs of opposites rays

right angles are congruent

All right angles are congruent

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

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

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

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 ac=bc

if a=b and c does not = 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

inductive reasoning

conjecture

counterexample

statement

A type of logic in which generalizations are based on a large…

A guess based on incomplete evidence

an example that proves a statement false

A sentence that is either true or false.

inductive reasoning

A type of logic in which generalizations are based on a large…

conjecture

A guess based on incomplete evidence