#### Study sets matching "geometry chapter 2 formulas"

#### Study sets matching "geometry chapter 2 formulas"

Midpoint

Segment bisector

Bisect

Angle bisector

point on the segment that divides it into 2 congruent segments

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

divide the segment into 2 congruent segments

a ray that divides an angle into 2 angles that are congruent

Midpoint

point on the segment that divides it into 2 congruent segments

Segment bisector

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

Law of Syllogism

Law of Detachment

Deductive Reasoning

Conditional

Allows you to state a conclusion from two true conditional st…

If a conditional is true and its hypothesis is true, then the…

Reasoning logically from given statements to a conclusion.

An if-then statement.

Law of Syllogism

Allows you to state a conclusion from two true conditional st…

Law of Detachment

If a conditional is true and its hypothesis is true, then the…

inductive reasoning

conjecture

counterexample

figural numbers

reasoning that uses a number of specific examples to arrive a…

the concluding statement that is reached using inductive reas…

a false example that can be used to prove that a conjecture i…

numbers that can be represented by evenly spaced points arran…

inductive reasoning

reasoning that uses a number of specific examples to arrive a…

conjecture

the concluding statement that is reached using inductive reas…

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

The process of reasoning that a rule or statement is true bec…

A statement that is believed to be true

An example that proves a conjecture or statement false

A statement that can be written in the form "if p then q" whe…

Inductive Reasoning

The process of reasoning that a rule or statement is true bec…

Conjecture

A statement that is believed to be true

conjecture

counterexample

deductive reasoning

inductive reasoning

a statement you believe to be true based on inductive reasoning

a drawing, statement, or number that shows that a conjecture…

the process of using logic to draw conclusions from given fac…

the process of reasoning that a rule or statement is true bec…

conjecture

a statement you believe to be true based on inductive reasoning

counterexample

a drawing, statement, or number that shows that a conjecture…

Inductive Reasoning

Conjecture

Counterexample

Conditional Statement

It is used to draw a conclusion based on a pattern.

A statement that is believed to be true.

It is an example that proves a conjecture or statement is fal…

A statement written in if then form with a hypothesis and con…

Inductive Reasoning

It is used to draw a conclusion based on a pattern.

Conjecture

A statement that is believed to be true.

conjecture

converse

counterexample

deductive reasoning

an educated guess about what will always be true

a statement formed by interchanging the hypothesis and conclu…

a false example that shows a conjecture is not always true

using rules of logic to reach a conclusion

conjecture

an educated guess about what will always be true

converse

a statement formed by interchanging the hypothesis and conclu…

alternate interior angles

conjecture

line

proof by contradiction

inside the parallel lines, opposite sides of the transversal

An educated guess

A straight, unbroken set of points that goes on forever. It h…

a form of proof that establishes the truth or validity of a p…

alternate interior angles

inside the parallel lines, opposite sides of the transversal

conjecture

An educated guess

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

The process of reasoning that a rule or statement is true bec…

A statement that is believed to be true

An example that proves a conjecture or statement false

A statement that can be written in the form "if p then q" whe…

Inductive Reasoning

The process of reasoning that a rule or statement is true bec…

Conjecture

A statement that is believed to be true

conclusion

converse

contrapositive

law of syllogism

"then" part of a conditional statement

switch the if and then of a conditional (q -> p)

negate and switch the if and then (not q -> not p)

conclusion

"then" part of a conditional statement

converse

switch the if and then of a conditional (q -> p)

Inductive Reasoning

Counterexample

Conditional Statements

Converse

Uses patterns to draw conclusions

A specific case for which a conjecture is false.

A logical statement with a hypothesis and a conclusion... If (hy…

A conditional statement with the hypothesis and conclusion re…

Inductive Reasoning

Uses patterns to draw conclusions

Counterexample

A specific case for which a conjecture is false.

Line

Point

Plane

Space

A "straight" arrangement of an infinite set of points. A stra…

A basic unit of geometry used to represent position or locati…

A flat, two-dimensional surface that extends infinitely far.…

The set of all points.

Line

A "straight" arrangement of an infinite set of points. A stra…

Point

A basic unit of geometry used to represent position or locati…

counterexample

conjecture

conditional statement

hypothesis

Used to show that a conjecture is false.

a statement you believe to be true based on inductive reasoni…

a statement that can be written in the form "if p, then q"

the part p of a conditional statement following the word if.

counterexample

Used to show that a conjecture is false.

conjecture

a statement you believe to be true based on inductive reasoni…

transversal

Angle 2 and Angle 7,... Angle 3 and Angle 6

Angle 1 and Angle 8,... Angle 5 and Angle 4

Angle 1 and Angle 3,... Angle 2 and Angle…

line that intersects two or more other lines in the plane

The horizontal lines are parallel. Identify the alternate int…

The horizontal lines are parallel. Identify the alternate ext…

The horizontal lines are parallel. Identify the corresponding…

transversal

line that intersects two or more other lines in the plane

Angle 2 and Angle 7,... Angle 3 and Angle 6

The horizontal lines are parallel. Identify the alternate int…

Conditional (p = hypothesis, q = concl…

Converse of conditional

Bioconditional

Law of Detachment

If p, then q... symbolic form p -> q

If q, then p... symbolic form q ->p

p if and only if q... symbolic form p <-->q

Given a true conditional p -> q: If p (hypothesis) is true, t…

Conditional (p = hypothesis, q = concl…

If p, then q... symbolic form p -> q

Converse of conditional

If q, then p... symbolic form q ->p

counterexample

postulate

adjacent angles

complementary angles

an example that proves a statement false

an accepted statement of fact

are a pair of angles with a common vertex and a common side,…

Two angles whose sum is 90 degrees

counterexample

an example that proves a statement false

postulate

an accepted statement of fact

counterexample

postulate

adjacent angles

complementary angles

an example that proves a statement false

an accepted statement of fact

are a pair of angles with a common vertex and a common side,…

Two angles whose sum is 90 degrees

counterexample

an example that proves a statement false

postulate

an accepted statement of fact

Pythagorean Theorem

Linear Pair Theorem

Congruent Supplements Theorem

Right Angle Congruence Theorem

In a right triangle, the sum of the squares of the lengths of…

if two angles form a linear pair, the they are supplementary.

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

All right angles are congruent

Pythagorean Theorem

In a right triangle, the sum of the squares of the lengths of…

Linear Pair Theorem

if two angles form a linear pair, the they are supplementary.

Angle Bisector

Adjacent Angles

Bisect

Bisector

A ray that divides an angle into two congruent angles

Two angles which share a vertex and a common side, but have n…

To divide a geometric figure into two congruent parts

The point, ray, line, or plane that bisects a figure

Angle Bisector

A ray that divides an angle into two congruent angles

Adjacent Angles

Two angles which share a vertex and a common side, but have n…

Right Prism

Right Cylindar

Right Pyramid

Right Cone

Surface Area: hP + 2B... Volume: Bh

Surface Area: 2πrh+2πr^2... Volume: πr^2h

Surface Area: B+1/2Ps... Volume: lwh/3

Surface Area: πr^2+πrl... Volume: πr^2 h/3

Right Prism

Surface Area: hP + 2B... Volume: Bh

Right Cylindar

Surface Area: 2πrh+2πr^2... Volume: πr^2h

Lateral Face of Right Prism

What does big (B) stand for?

How do you find big (B)?

If Lateral Faces are rectangular than.…

faces that are not bases

B = Area of base

Use the regular area formula depending on what polygon

.......Than it is a right prism (oblique prism)

Lateral Face of Right Prism

faces that are not bases

What does big (B) stand for?

B = Area of base

Inductive Reasoning

Conjecture

Counterexample

Conditional Statement

It is used to draw a conclusion based on a pattern.

A statement that is believed to be true.

It is an example that proves a conjecture or statement is fal…

A statement written in if then form with a hypothesis and con…

Inductive Reasoning

It is used to draw a conclusion based on a pattern.

Conjecture

A statement that is believed to be true.

Biconditional

Conditional

Conjecture

Contrapositive

A true statement that combines a true conditional and its con…

If-then statement

A conclusion you reach using inductive reasoning.

Negate both the hypothesis (p) and the conclusion(q) of the c…

Biconditional

A true statement that combines a true conditional and its con…

Conditional

If-then statement

alternate interior angles

area

base

complementary angles

angles that are located on alternate sides of the transversal…

the number of non-overlapping square units needed to cover a…

any side of a triangle to which a height is drawn

two angles whose sum is 90 degrees

alternate interior angles

angles that are located on alternate sides of the transversal…

area

the number of non-overlapping square units needed to cover a…

Inductive Reasoning

Conjecture

Function Rule

Linear Functions

The process of observing data, recognizing patterns, and maki…

A generalization made from inductive reasoning

The rule that gives the nth term of a sequence

Rules that generate a constant difference

Inductive Reasoning

The process of observing data, recognizing patterns, and maki…

Conjecture

A generalization made from inductive reasoning

180°

exterior angle of triangle

parallel and half the length ... (Midline…

congruent... (no choice)

sum of triangles angles

equal to sum of remote interior angles

segment joining midpoints of 2 sides is __ to the third, and…

if 2 angles of 2 triangles are congruent a, the third pair of…

180°

sum of triangles angles

exterior angle of triangle

equal to sum of remote interior angles

Condition

Conditional

Hypothesis

Conclusion

Something on which something else depends, a requirement

A statement in the form "If....then..."

The given or "if.... part of a conditional

The "then..." part of a conditional

Condition

Something on which something else depends, a requirement

Conditional

A statement in the form "If....then..."

Theorem 12.1 Euler's Theorem(12-1)

12.2 Surface Area of a Right Prism (2…

Surface Area of a Right Cylinder

Surface Area of a Regular Pyramid(12.3)

F+V=E+2 (f faces v vertices e edges)

S=2B+Ph OR S=aP+Ph (s surface area, B area of the base, P per…

S=2B+Ch OR (2)(pi)(r^2) +(2)(pi)rh (B area of the base, C cir…

S=B+ (1/2)(P)(l) (s surface area,, B area of the base, P peri…

Theorem 12.1 Euler's Theorem(12-1)

F+V=E+2 (f faces v vertices e edges)

12.2 Surface Area of a Right Prism (2…

S=2B+Ph OR S=aP+Ph (s surface area, B area of the base, P per…

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

conjecture

counterexample

inductive reasoning

truth value

an educated guess based on known information

an example that shows a conjecture is false. ... EXAMPLE: Someon…

looking at several specific situations to arrive at a conject…

the truth or falsity of a statement (T or F)

conjecture

an educated guess based on known information

counterexample

an example that shows a conjecture is false. ... EXAMPLE: Someon…

Venn diagram

locus

inductive reasoning

conjecture

A concept map of overlapping circles or ovals that shows the…

The set of all points that satisfy some given conditions.

The process of observing data, recognizing patterns, and maki…

A generalization resulting from inductive reasoning.

Venn diagram

A concept map of overlapping circles or ovals that shows the…

locus

The set of all points that satisfy some given conditions.

Conditional Statement

Converse

Inverse

Contrapositive

A logical statement written in "if-then" form.

Switch the "if and then".

The negation of the hypothesis and conclusion in the original…

The negation of the hypothesis and conclusion in the converse.

Conditional Statement

A logical statement written in "if-then" form.

Converse

Switch the "if and then".

perimeter of a plane figure

area of a plane figure

triangle base

triangle height

sum of the side lengths of the figure

number of nonoverlapping square units of a given size that ex…

any side of a triangle

a segment from a vertex that forms a right angle with a line…

perimeter of a plane figure

sum of the side lengths of the figure

area of a plane figure

number of nonoverlapping square units of a given size that ex…

conclusion

converse

conjecture

counterexample

"then" part of a conditional statement

switches the hypothesis and conclusion of a conditional

prediction of what you think might happen

an example that shows a conditional is false

conclusion

"then" part of a conditional statement

converse

switches the hypothesis and conclusion of a conditional

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

The process of reasoning that a rule or statement is true bec…

A statement that is believed to be true

An example that proves a conjecture or statement false

A statement that can be written in the form "if p then q" whe…

Inductive Reasoning

The process of reasoning that a rule or statement is true bec…

Conjecture

A statement that is believed to be true

Addition Property Of Equality (POE)

Subtraction POE

Multiplication POE

Division POE

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 =/ 0, then a/c = b/c

Addition Property Of Equality (POE)

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

Subtraction POE

if a = b, then a - c = b - c