# Study sets matching "kapitel 2 math geometry proofs"

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

SSS

SAS

Angle addition postulate

Segment Addition Postulate

postulate stating that when two triangles have corresponding s…

Triangles are congruent if any pair of corresponding sides and…

If point B lies in the interior of angle AOC, then. . The post…

SAP, if B is between segment AC, then AB+BC=AC

SSS

postulate stating that when two triangles have corresponding s…

SAS

Triangles are congruent if any pair of corresponding sides 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 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

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

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…

Law of Detachment

Law of Syllogism

Two Point Postulate

Line-Point Postulate

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

Take two conditional statements and form a conclusion by combi…

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

Take two conditional statements and form a conclusion by combi…

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

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

Definition of Congruence

Definition of a Midpoint

Definition of Angle Bisector

Definition of Perpendicular Lines

Having the exact same size and shape and there by having the e…

The point that divides a segment into two congruent halves.

The ray that divides an angle into two congruent halves.

Lines that intersect to form right angles or 90 degrees.

Definition of Congruence

Having the exact same size and shape and there by having the e…

Definition of a Midpoint

The point that divides a segment into two congruent halves.

Isosceles triangle

equilateral triangle

right triangle

rhombus

show that 2 sides are =. Use distance formula

show that 3 sides are =. Use distance formula

show that there is 1 right angle. Use slope formula

show that 4 sides are =. Use distance formula

Isosceles triangle

show that 2 sides are =. Use distance formula

equilateral triangle

show that 3 sides are =. Use distance formula

Right Angle Congruence Theorem(RACT)

Vertical Angle Congruence Theorem(VACT)

Linear Pair Postulate(LPP)

Congruent (Comp.,Supp.) theorem

right angles are congruent

vertical angles are congruent

if 2 angles are a linear pair then they are supplementary

If two angles are (Comp.,Supp.) of the same angle then they ar…

Right Angle Congruence Theorem(RACT)

right angles are congruent

Vertical Angle Congruence Theorem(VACT)

vertical angles are congruent

Parallelogram Properties

Rectangle Properties

Rhombus Properties

Square Properties

1. Opposite sides are congruent... 2. Opposite angles are congrue…

1. All properties of a parallelogram... 2. Diagonals are congruent

1. All properties of a parallelogram... 2. Diagonals are perpendi…

1. All properties of a parallelogram... 2. All properties of a re…

Parallelogram Properties

1. Opposite sides are congruent... 2. Opposite angles are congrue…

Rectangle Properties

1. All properties of a parallelogram... 2. Diagonals are congruent

A state meant that can be written in a…

Part "p" of the statement comes after If

Part "q" of the statement comes after t…

Using pattern and observations to deter…

Conditional Statement

Hypothesis

Conclusion

Inductive Reasoning

A state meant that can be written in a…

Conditional Statement

Part "p" of the statement comes after If

Hypothesis

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

What is the slope of a line perpendicul…

What is the slope of a line perpendicul…

Parallel lines have the same slope.

Perpendicular lines have slopes that ar…

zero

zero

Parallel lines have the same slope.

Perpendicular lines have slopes that are negative reciprocals…

What is the slope of a line perpendicul…

zero

What is the slope of a line perpendicul…

zero

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…

Congruent Segements

Congruent Angles

Adjacent angles

Linear Pair

2 segments with the exact same lengths

2 angles that have the exact same measurement

2 angles with a common vertex point and common side

Pair of adjacent angles whose no common sides are opposite rays

Congruent Segements

2 segments with the exact same lengths

Congruent Angles

2 angles that have the exact same measurement

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

Isosceles triangle

Equilateral triangle

Right triangle

What type of lines form a right angle?

SHOW: ... - 2 sides = ... FORMULA: ... - Distance

SHOW:... - 3 sides = ... FORMULA: ... - Distance

SHOW: ... - 1 right angle... FORMULA: ... - Slope

Perpendicular Lines

Isosceles triangle

SHOW: ... - 2 sides = ... FORMULA: ... - Distance

Equilateral triangle

SHOW:... - 3 sides = ... FORMULA: ... - Distance

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

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

Theorem 2.1: Vertical Angles

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, then the two…

if two angles are complements of the same angle, then the two…

all right angles are congruent

Theorem 2.1: Vertical Angles

vertical angles are congruent

Theorem 2.2: Congruent Supplements Theo…

if two angles are supplements of the same angle, then the two…