Study sets matching "geometry chapter 2 formulas"

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Study sets matching "geometry chapter 2 formulas"

19 terms
Chapter 2 geometry 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…
21 terms
Geometry Vocabulary and Formulas Chapter 2
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…
67 terms
Geometry Chapter 2 Definitions, Postulates, Theorems, and Formulas
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…
geometry exam chapter 2 vocab and formulas
conditional statement
hypothesis
conclusion
converse of a conditional statement
if hypothesis, then conclusion
if
then
exchange the hypothesis and the conclusion; if q, then p or q…
conditional statement
if hypothesis, then conclusion
hypothesis
if
40 terms
Geometry Chapter 2 Vocabulary
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
20 terms
Geometry Chapter 2 Vocabulary
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…
Geometry Chapter 2
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.
20 terms
Chapter 2 Geometry
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…
19 terms
Geometry Chapter 2 Vocabulary
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
Geometry Chapter 2 Vocabulary
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
31 terms
Chapter 2 Geometry Vocab
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)
24 terms
Geometry Chapter 2
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.
64 terms
Geometry Chapter 2 Terms
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…
23 terms
Geometry Chapter 2 Terms
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…
20 terms
Geometry--Chapter 2 Terms
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…
21 terms
Chapter 12 Geometry Formulas
cube volume
cube surface area
volume rectangular prism
surface area rectangular prism
s^3
6s^2
lwh
2lh + 2lw + 2wh
cube volume
s^3
cube surface area
6s^2
Geometry Chapter 2 Review
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
27 terms
Geometry: Chapter 2 Vocabulary
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
19 terms
Chapter 2 Geometry vocab
conclusion
converse
contrapositive
syllogism
"then" part of a conditional statement
switch the if and then of a conditional (q -> p)
negate and switch the if and then (~q -> ~p)
conclusion
"then" part of a conditional statement
converse
switch the if and then of a conditional (q -> p)
26 terms
Geometry: Chapter 2 Vocabulary
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
Geometry Chapter 2
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.
23 terms
Geometry Chapter 2
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…
5 terms
Geometry Chapter 11 Formulas
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
5 terms
Geometry Chapter 12 Formulas
Area of a cylinder
Surface area of a pyramid
Surface area of a cone
Surface area of a sphere
Area of a cylinder
Surface area of a pyramid
Geometry - Chapter 10 Formulas
euler's formula
diagonal of a right rectangular prism
3d distance formula
3d midpoint formula
V-E+F=2
BRUH WHY DOES IT HAVE TO HAVE WORDS WITH THE PICTURE
euler's formula
V-E+F=2
diagonal of a right rectangular prism
BRUH WHY DOES IT HAVE TO HAVE WORDS WITH THE PICTURE
30 terms
Geometry Chapter 12 Formulas
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
Chapter 11 Geometry Formulas
Euler's Formula
Euler's Formula for Nets
Lateral Area of a Prism
Surface Area of a Prism
F+V=E+2
F+V=E+1
Euler's Formula
F+V=E+2
Euler's Formula for Nets
F+V=E+1
Geometry Chapter 2
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.
Chapter 12 Geometry Formulas
Perimeter of a regular polygon
Area of a triangle
Area of a rectangle
Area of a trapezoid
p=ns
A=1/2 bh
A= lw
A= mh
Perimeter of a regular polygon
p=ns
Area of a triangle
A=1/2 bh
RAHS Geometry Chapter 2
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
25 terms
Chapter 2 Geometry Vocabulary
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…
Chapter 2 - Reasoning in Geometry
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
11 terms
geometry chapter 7 formulas
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
Geometry Chapter 11.2 Formulas
Area of parallelogram
Area of triangle
Area of trapezoid
Area of rhombi
A=bh
A=1/2bh
A=1/2h(b1+b2)
A=1/2d1d2
Area of parallelogram
A=bh
Area of triangle
A=1/2bh
9 terms
Geometry 2: Chapter 10 Formulas
Rectangle
Parallelogram
Triangle
Trapezoid
A=bh
A=bh
A=1/2bh
A=1/2 h(b1+b2)
Rectangle
A=bh
Parallelogram
A=bh
Honors Geometry Chapter 2
Conditional IF THEN
Conditional IMPLIES
Conditional ONLY IF
Conditional IF
IF p THEN q
p IMPLIES q
p ONLY IF q
q IF p... *NOTE SWITCH p and q when IF is the ONLY key word
Conditional IF THEN
IF p THEN q
Conditional IMPLIES
p IMPLIES q
Chapter 2 Geometry
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..."
Geometry-Chapter 12-Formulas
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…
Geometry - Chapter 2 Vocabulary
biconditional
conclusion
conditional
conjecture
q
p -> q
a conclusion reached using inductive reasoning
biconditional
conclusion
q
Geometry Proofs chapter 2
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
30 terms
Geometry Chapter 2 Vocabulary
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…
11 terms
Geometry Formulas Chapter 1
Distance Formula?
Midpoint Formula?
supplementary means?
complementary means?
180 degrees
90 degrees
Distance Formula?
Midpoint Formula?
27 terms
Geometry Chapter 2
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.
29 terms
Geometry - Chapter 2 Terms
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".
Geometry Formulas 2
πr^2
2πr
(4/3)πr^3
=b*h
Area of a Circle
Circumference of a Circle
Volume of a sphere
Area of a parallelogram
πr^2
Area of a Circle
2πr
Circumference of a Circle
Geometry, Chapter 1.5, Using Formulas in Geometry
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…
19 terms
Geometry Chapter 2 Conditionals
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
45 terms
Geometry Chapter 2 Vocabulary
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
7 terms
Geometry chapter 11 formulas
SA cylinder
SA prism
SA pyramid
V prism
2pirsquared+2pirh
area of all faces
area of all faces
area of base*height
SA cylinder
2pirsquared+2pirh
SA prism
area of all faces
29 terms
Chapter 2 Geometry properties
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
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