Study sets matching "geometry pre ap rules"

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Study sets matching "geometry pre ap rules"

PreAP Geometry - Rules for Reflections
(x,y) -> (x,-y)
(x,y) -> (-x,y)
(x,y) -> (-x,-y)
(x,y) -> (y,x)
across x axis
across y axis
across origin
across y = x
(x,y) -> (x,-y)
across x axis
(x,y) -> (-x,y)
across y axis
8 terms
Mapping rules; GSE geometry PreAP
Reflection over the x-axis
Reflection over y-axis
Reflection about the origin
Reflection over y=x
(x,y) -> (x, -y)
(x,y) -> (-x, y)
(x, y) -> (-x, -y)
(x, y) -> (y, x)
Reflection over the x-axis
(x,y) -> (x, -y)
Reflection over y-axis
(x,y) -> (-x, y)
15 terms
Geometry Pre AP postulates
ruler postulate
Segment Addition Postulate (Seg. Add.…
Protractor Postulate
Angle Addition Postulate
1.)points must be put on a number line... 2.)the distance betwee…
if B is between A and C, then AB+BC=AC (page 12 in book)
used to find the measure of an angle... 1.) take the absolute va…
m<AOB + m<BOC = m< AOC
ruler postulate
1.)points must be put on a number line... 2.)the distance betwee…
Segment Addition Postulate (Seg. Add.…
if B is between A and C, then AB+BC=AC (page 12 in book)
23 terms
Geometry- PreAP, Geometry Pre AP postulates
Supplementary Angles
Complementary Angles
Linear Pair
Vertical Angles
Angles that add to 180 degrees.... m<1+m<2=180
Two angles whose sum is 90 degrees.... m<1+m<2=90
A pair of adjacent angles whose noncommon sides are opposite…
A pair of opposite congruent angles formed by intersecting li…
Supplementary Angles
Angles that add to 180 degrees.... m<1+m<2=180
Complementary Angles
Two angles whose sum is 90 degrees.... m<1+m<2=90
50 terms
Geometry- PreAP
congruent
postulate
theorem
acute angle
identical in form; coinciding exactly when superimposed.
consists of a set of theorems, each derived from definitions,…
is a statement that has been proved on the basis of previousl…
An angle that measures less than ninety degrees but more than…
congruent
identical in form; coinciding exactly when superimposed.
postulate
consists of a set of theorems, each derived from definitions,…
115 terms
Pre-AP Geometry Midterm
complementary angles
supplementary angles
axiom/postulate
concave
two or more angles that add up to 90°
two or more angles that add up to 180°
a statement that is regarded as being true
to cave inwards
complementary angles
two or more angles that add up to 90°
supplementary angles
two or more angles that add up to 180°
Pre-AP Geometry Proof List
Segment Addition Postulate
Angle Addition Postulate
Linear Pair Theorem
Vertical Angles Theorem
If b is between a and c, then ab + bc = ac.
If s is in the interior of angle PQR, then the measure of ang…
If two angles form a linear pair, then they are supplementary.
Vertical angles are congruent.
Segment Addition Postulate
If b is between a and c, then ab + bc = ac.
Angle Addition Postulate
If s is in the interior of angle PQR, then the measure of ang…
Geometry Pre AP Theorems
if two lines intersect, then they inte…
through a line and a point not in the…
if two lines intersect, then exactly o…
if M is the midpoint of line AB, then…
point
plane
plane
Midpoint Theorem
if two lines intersect, then they inte…
point
through a line and a point not in the…
plane
29 terms
Math Pre-AP Rules
Product rule
x^11
Quotient rule
r^2
To multiply when two bases are the same, write the base and A…
x^3*x^8
To divide when two bases are the same, write the base and SUB…
r^5/r^3
Product rule
To multiply when two bases are the same, write the base and A…
x^11
x^3*x^8
19 terms
Pre AP Geometry
Proofs
Given
Prove
Reflexive
A logical statement helping to prove an idea being backed by…
The information given to help you prove a statement (the "if"…
What you are asked to show using the given(s) the reason (the…
Everything is equal to itself... ex: a=a
Proofs
A logical statement helping to prove an idea being backed by…
Given
The information given to help you prove a statement (the "if"…
34 terms
PROOFS: Geometry PRE AP
Substitution property
Reflexive property
Symmetric property
Transitive property
If a=b, then a can be substituted for b in any equation or ex…
Is used to prove congruence of geometric figures. This proper…
Property of equality for "a" and "b": if a=b then b=a
If a=b and b=c, then a=c (3 terms)
Substitution property
If a=b, then a can be substituted for b in any equation or ex…
Reflexive property
Is used to prove congruence of geometric figures. This proper…
Geometry Pre-AP: Circles
chord
secant
tangent
point of tangency
chord
secant
8 terms
Geometry PRE-AP KO_
Corresponding Angles
Same-Side Interior Angles
Alternate Interior Angles
Alternate Exterior Angles
lie on the same side of the transversal and on the same sides…
lie on the same side of the transversal and between the inter…
nonadjacent angles that lie on opposite sides of the transver…
lie on opposite sides the transversal and outside the interse…
Corresponding Angles
lie on the same side of the transversal and on the same sides…
Same-Side Interior Angles
lie on the same side of the transversal and between the inter…
Pre AP Geometry Quadrilaterals
Paralellogram
Rectangle
Square
Rhombus
A four-sided polygon with two pairs of parallel and equal sid…
A parallelogram with 4 right angles.
A rectangle with 4 equal sides.
A parallelogram with 4 equal sides.
Paralellogram
A four-sided polygon with two pairs of parallel and equal sid…
Rectangle
A parallelogram with 4 right angles.
205 terms
Pre-AP Geometry Vocabulary
Conjecture
Inductive Reasoning
Counterexample
Conditional Statement
An unproven statement that is based on observations.
You find a pattern in specific cases and then write a conject…
A specific case for which the conjecture is false.
A logical statement that has two parts, a hypothesis and a co…
Conjecture
An unproven statement that is based on observations.
Inductive Reasoning
You find a pattern in specific cases and then write a conject…
18 terms
Pre-AP Geometry Terms
Point
Plane
Euclidean
Spherical
-An exact position or location on a plane surface... -Labeled wi…
-A flat surface that goes in every direction infinitely... -betw…
-the study of geometry based on definitions, undefined terms…
-the geometry of the two-dimensional surface of a sphere... -cur…
Point
-An exact position or location on a plane surface... -Labeled wi…
Plane
-A flat surface that goes in every direction infinitely... -betw…
Pre-Ap Geometry
undefined term
line
collinear
segment
figures that cannot be defined by using other figures
straight path that has no thickness and extends forever
points that lie on the same line
is a part of a line consisting of two points and all the poin…
undefined term
figures that cannot be defined by using other figures
line
straight path that has no thickness and extends forever
Pre-AP Geometry 5
Equidistant
Concurrent
The Point of Concurrency
Circumvented of the Triangle
Point is the same distance from two or more objects.
Three or more lines intersect at one point.
Point where the concurrent lines intersect.
The point of concurrency.
Equidistant
Point is the same distance from two or more objects.
Concurrent
Three or more lines intersect at one point.
Geometry Pre-Ap Unit 6
altitude
orthocenter
Triangular inequality theorem
median
a segment that extends from a vertice and is perpendicular to…
formed by 3 intersecting alititudes
any two sides of a triangle must add up to be longer than the…
segment that connects a vertice of a triangle with the midpoi…
altitude
a segment that extends from a vertice and is perpendicular to…
orthocenter
formed by 3 intersecting alititudes
Pre-Ap geometry unit 5
Midsegment of a triangle
Triangle Midsegment theorem
Equidistant
Perpendicular Bisector theorem
A segment connecting the midpoints of two sides of the triang…
If a segment joins the midpoint of two sides of a triangle, t…
A point is equidistant from two objects if it is the same dis…
If a point is on the perpendicular bisector of a segment, the…
Midsegment of a triangle
A segment connecting the midpoints of two sides of the triang…
Triangle Midsegment theorem
If a segment joins the midpoint of two sides of a triangle, t…
11 terms
Geometry Pre-Ap Flashcards
Angle Sum Theorem
Perpendicular Bisector
Midsegment
Medians
The sum of the measures of the angles of a triangle is 180 de…
A segment that is perpendicular to the side and cuts the side…
A segment whose endpoints are midpoints of two sides of a tri…
A segment whose endpoints are a vertex of the triangle and th…
Angle Sum Theorem
The sum of the measures of the angles of a triangle is 180 de…
Perpendicular Bisector
A segment that is perpendicular to the side and cuts the side…
12 terms
Trig. Terms (Pre-AP Geometry)
sine (abbreviation)
cosine (abbreviation)
tangent (abbreviation)
sin =
sin
cos
tan
opposite (leg)/hypotenuse
sine (abbreviation)
sin
cosine (abbreviation)
cos
Geometry Pre AP postulates
ruler postulate
Segment Addition Postulate (Seg. Add.…
Protractor Postulate
Angle Addition Postulate
1.)points must be put on a number line... 2.)the distance betwee…
if B is between A and C, then AB+BC=AC (page 12 in book)
used to find the measure of an angle... 1.) take the absolute va…
m<AOB + m<BOC = m< AOC
ruler postulate
1.)points must be put on a number line... 2.)the distance betwee…
Segment Addition Postulate (Seg. Add.…
if B is between A and C, then AB+BC=AC (page 12 in book)
205 terms
Pre-AP Geometry Vocabulary
Conjecture
Inductive Reasoning
Counterexample
Conditional Statement
An unproven statement that is based on observations.
You find a pattern in specific cases and then write a conject…
A specific case for which the conjecture is false.
A logical statement that has two parts, a hypothesis and a co…
Conjecture
An unproven statement that is based on observations.
Inductive Reasoning
You find a pattern in specific cases and then write a conject…
Pre AP Geometry I
point
line
plane
collinear points
exact location in space
defined by two points and extends infinitely in both directions
a flat surface having no boundaries
points in the same plane that lie on the same line
point
exact location in space
line
defined by two points and extends infinitely in both directions
Pre-ap Geometry Exam
undefined terms
collinear points
coplanar points
acute angle
words in geometry that are not formally defined... -point, line…
points on the same line
points in the same plane
angle less than 90 degrees
undefined terms
words in geometry that are not formally defined... -point, line…
collinear points
points on the same line
116 terms
Geometry Pre-AP Final 2
Ratio
Proportion
Extremes
Means
Compares two numbers by division
An equation stating that two ratios are equal
"A" and "D"
"B" and "C"
Ratio
Compares two numbers by division
Proportion
An equation stating that two ratios are equal
Pre-ap Geometry Exam
undefined terms
collinear points
coplanar points
acute angle
words in geometry that are not formally defined... -point, line…
points on the same line
points in the same plane
angle less than 90 degrees
undefined terms
words in geometry that are not formally defined... -point, line…
collinear points
points on the same line
16 terms
Pre-Ap geometry formulas
Pythagorean Theorem
30-60-90 triangle
45-45-90
sin
a^2 + b^2 = c^2
H= short leg × 2... Long leg = short leg√3... short leg = H÷2 or lo…
H= leg√2
opposite÷hypotenuse
Pythagorean Theorem
a^2 + b^2 = c^2
30-60-90 triangle
H= short leg × 2... Long leg = short leg√3... short leg = H÷2 or lo…
Geometry- PreAP With Diagrams
Supplementary Angles
Complementary Angles
Linear Pair
Vertical Angles
Angles that add to 180 degrees.... m<1+m<2=180
Two angles whose sum is 90 degrees.... m<1+m<2=90
A pair of adjacent angles whose noncommon sides are opposite…
A pair of opposite congruent angles formed by intersecting li…
Supplementary Angles
Angles that add to 180 degrees.... m<1+m<2=180
Complementary Angles
Two angles whose sum is 90 degrees.... m<1+m<2=90
Geometry Pre AP Theorems
point
plane
plane
Midpoint Theorem
if two lines intersect, then they intersect in exactly one __…
through a line and a point not in the line there is exactly o…
if two lines intersect, then exactly one _____ contains them
if M is the midpoint of line AB, then AM = ½AB and MB= ½AB
point
if two lines intersect, then they intersect in exactly one __…
plane
through a line and a point not in the line there is exactly o…
Pre-AP Chemistry: Solubility Rules
All compounds containing alkali metal…
All compounds containing ammonium ions…
All chlorides are (soluble/insoluble)…
All bromides are (soluble/insoluble) w…
soluble
soluble
soluble
soluble
All compounds containing alkali metal…
soluble
All compounds containing ammonium ions…
soluble
30 terms
Pre-AP Chemistry Safety Rules
Protective eye wear
Food or drinks
Horseplay
Hair
Wear goggles whenever the instructor is or says to
Never eat or drink unless instructed
Horseplay is never allowed or encouraged
Tie back long hair to keep it out of work area
Protective eye wear
Wear goggles whenever the instructor is or says to
Food or drinks
Never eat or drink unless instructed
Pre-Ap Geometry
Perpendicular bisector
Circumcenter
altitude
A line, ray, segment or plane that is perpendicular to a segm…
The point of concurrency of three perpendicular bisectors of…
The perpendicular segment from a vertex to the opposite side…
Perpendicular bisector
A line, ray, segment or plane that is perpendicular to a segm…
Circumcenter
The point of concurrency of three perpendicular bisectors of…
Geometry preAp glossary
Inductive reasoning
Conditional statement
Truth value
Conjecture
The process of reasoning that a rule or statement is true bec…
A statement that can be written "if P, then Q", where P is th…
A conditional statement can have a truth value of true or false
A statement believed to be true... Ex: a plant with leaves is a…
Inductive reasoning
The process of reasoning that a rule or statement is true bec…
Conditional statement
A statement that can be written "if P, then Q", where P is th…
8 terms
Pre ap geometry
Angle bisector
Incenter
In center location
In center distance
A ray that bisects an angle into two equal pieces.
The point where all three angle bi sectors intersect.
Always inside triangle
Equidistance from sides of triangle
Angle bisector
A ray that bisects an angle into two equal pieces.
Incenter
The point where all three angle bi sectors intersect.
42 terms
Geometry Pre AP
2 points =>
1 Line =>
1 plane =>
3 or more non collinear points =>
1 Line
at least two points
3 non collinear points
1 plane
2 points =>
1 Line
1 Line =>
at least two points
9 terms
pre-ap geometry vocabulary
altitude
centroid
circumcenter of a triangle
circumscribed about
a line segment through a vertex and perpendicular to a line c…
the center of mass of a geometric object of uniform density
the point where three perpendicular bisectors of a triangle m…
drawing a figure around another, touching it at points but no…
altitude
a line segment through a vertex and perpendicular to a line c…
centroid
the center of mass of a geometric object of uniform density
Pre-AP geometry
Postulate
Theorem
Conjecture
Inductive Reasoning
a truth without formal proof.
a statement that has been proved with facts.
a mathematical statement which appears to be true, but has no…
A form of reasoning in which a conclusion is reached based on…
Postulate
a truth without formal proof.
Theorem
a statement that has been proved with facts.
Pre ap geometry vocab
Radius
Chord
Diameter
Circle
Is a segment with endpoints at the center and on the circle
Is a segment with endpoints on the circle
A chord that passes through the center and is made up of coll…
The set off all points in a plane equi distant from a given p…
Radius
Is a segment with endpoints at the center and on the circle
Chord
Is a segment with endpoints on the circle
Geometry Pre-AP
A circle that containd all the vertice…
circumcircle
the center of a circumcircle called th…
Circumcenter Theorem
circumscribed
a circle which passes through all the vertices of a polygon (…
Circumcenter
The perpendicular bisectors of the sides of a triangle inters…
A circle that containd all the vertice…
circumscribed
circumcircle
a circle which passes through all the vertices of a polygon (…
Geometry Pre-AP Definitions and Postulates
angle bisector
linear pair
midpoint
segment bisector
a ray that divides the angle into 2 congruent angles.... (∠bisec…
adjacent angles whose non common sides form a line
a point that divides a segment into 2 congruent segments
a point, segment, line, or plane that divides a line segment…
angle bisector
a ray that divides the angle into 2 congruent angles.... (∠bisec…
linear pair
adjacent angles whose non common sides form a line
Geometry Pre-Ap review
conditional
converse
inverse
contrapositive
if-then
switch it
negative ( not , not )
switch AND it's negative (not , not)
conditional
if-then
converse
switch it
Pre-AP Geometry 7
Similar
Similarity Ratio
Similarity Transformation
Indirect Measurement
Have the same shape but not necessarily the same size.
Ratio of lengths of the corresponding sides of two similar po…
A dilation or a composite of one or more dilation a and one o…
Any method that uses formulas, similar figures, and/or propor…
Similar
Have the same shape but not necessarily the same size.
Similarity Ratio
Ratio of lengths of the corresponding sides of two similar po…
15 terms
Pre AP Geometry
point
collinear
line
plane
a location in space
points on the same line
a set of collinear points that has no thickness or width
a flat surface made up of points
point
a location in space
collinear
points on the same line
21 terms
PreAP Geometry Words
Reflexive property of equality and ref…
Symmetric property of equality and ref…
Transitive property of equality and tr…
Substitution property of equality and…
A quantity is congruent or equal to itself. a=a
If a=b then b=a
If a=b and b=c, then a=c
A quantity may be substituted for it is equal for any express…
Reflexive property of equality and ref…
A quantity is congruent or equal to itself. a=a
Symmetric property of equality and ref…
If a=b then b=a
geometry pre ap
rational numbers
irrational number
real number
fraction
the quotient of two integers where the denominator does not e…
a number that does not repeat with a pattern
any number on a number line
the comparison of two numbers by division
rational numbers
the quotient of two integers where the denominator does not e…
irrational number
a number that does not repeat with a pattern
23 terms
Pre-AP Geometry-Probability
Outcome
Sample Space
Event
Probability
A result of an experiment.
The set of all the possible outcomes of an experiment.
An outcome or set of outcomes in a sample space.
The ratio of the number of desired outcomes to the total numb…
Outcome
A result of an experiment.
Sample Space
The set of all the possible outcomes of an experiment.
11 terms
Pre-AP Geometry
Point A
ray AB
line AB
segment AB
A
--->... AB
<-->... AB
---... AB
Point A
A
ray AB
--->... AB
Geometry Pre-AP
Isometry
Invariant points
Reflection in the x-axis
Reflection in y-axis
Congruent
Rotations move on origin; Reflections don't move if they are…
(x,y)-->(x,-y)
(x,y)-->(-x,y)
Isometry
Congruent
Invariant points
Rotations move on origin; Reflections don't move if they are…
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