Study sets matching "geometry pre ap math"

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Study sets matching "geometry pre ap math"

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,…
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
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: Circles
chord
secant
tangent
point of tangency
chord
secant
12 terms
7th Pre Ap Math
Absolute Value
Natural Number
Whole Number
Integer
the distance a number is from 0
counting numbers starting at 1, 2, 3, 4.....Not 0
counting numbers including 0.
the set of positive whole numbers, their opposites and 0
Absolute Value
the distance a number is from 0
Natural Number
counting numbers starting at 1, 2, 3, 4.....Not 0
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"…
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…
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…
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…
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)
54 terms
Pre-AP Math Equations
Distance Formula
Midpoint Formula
Slope Formula
Rhombus
Parallelogram with four congruent sides
Distance Formula
Midpoint Formula
Pre-AP Geometry Final
Net
Isometric Drawing
Orthographic Drawing
Point
Two-dimensional diagram that you can fold to form a thre-dime…
Shows a corner view of a three-dimensional figure
Another way to represent a 3-dimensional figure
A location; it has no size and no shape ... It is undefined
Net
Two-dimensional diagram that you can fold to form a thre-dime…
Isometric Drawing
Shows a corner view of a three-dimensional figure
Pre-AP Math Equations
Distance Formula
Midpoint Formula
Slope Formula
Rhombus
Parallelogram with four congruent sides
Distance Formula
Midpoint Formula
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…
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…
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 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 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.
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
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.
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 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…
29 terms
Pre-AP Basic Geometry Vocabulary
Converse
Addition property
Subtraction property
Multiplication property
Swap hypothesis and conclusion q -> p
if a = b then a + c = b + c
if a = b then a - c = b - c
if a = b then ac = bc
Converse
Swap hypothesis and conclusion q -> p
Addition property
if a = b then a + c = b + c
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
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
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…
174 terms
Pre-AP Geometry Midterm
point
line
plane
collinear
a dot labeled by a capital letter
can be represented by anything straight and is labeled by any…
can be represented by any flat surface, is labeled by either…
points that all fall in one line
point
a dot labeled by a capital letter
line
can be represented by anything straight and is labeled by any…
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
find the measure of each interior angl…
the ratio of the side lengths of a qua…
find the geometric mean of the pair of…
some mountains in the alps are very st…
(n-2)180... =(45-2)180... =7740/4... =172
6x+2x+3x+7x=18=126... x=7... 2(7)=14
x^2=(2)(8)=16... x=4
tan^-1=(42.7/100)... =23
find the measure of each interior angl…
(n-2)180... =(45-2)180... =7740/4... =172
the ratio of the side lengths of a qua…
6x+2x+3x+7x=18=126... x=7... 2(7)=14
Pre-AP Geometry Vocab Terms
Remote Interior Angles of a Triangle
Triangle Sum Theorem
Exterior Angle Theorem
30-60-90 Triangle Theorem
2 sides of a triangle not adjacent to exterior angles
the sum of the measures of the interior angles of a triangle…
the measure of the exterior angle of a triangle is equal to t…
Remote Interior Angles of a Triangle
2 sides of a triangle not adjacent to exterior angles
Triangle Sum Theorem
the sum of the measures of the interior angles of a triangle…
Pre-Geometry Math terms
Circle
Center
Radius
Chord
the set of all points in a plane that are the same distance f…
the point inside a circle that is the same distance from all…
a segment with one endpoint at the center of the circle and t…
a segment whose endpoints are any two points on the circle
Circle
the set of all points in a plane that are the same distance f…
Center
the point inside a circle that is the same distance from all…
Pre-AP Geometry Quadrilateral Properties
Paralellogram
Rectangle
Rhombus
Square
1. Opp <s congruent ... 2. Opp sides congruent... 3. Diagonals bise…
1. All props of pgrams... 2. Diagonals are = ... 3. 4 right <s
1. All props of pgrams... 2. 4 = sides... 3. Diagonals bisect <s... 4.…
1. All props of pgrams, rectangles, and rhombi
Paralellogram
1. Opp <s congruent ... 2. Opp sides congruent... 3. Diagonals bise…
Rectangle
1. All props of pgrams... 2. Diagonals are = ... 3. 4 right <s
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- 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
Altitude
Acute Triangle
Angle Bisector
Base angle
the height of an object or point in relation to sea level or…
An acute triangle is a triangle with all three angles acute (…
angle bisector theorem is concerned with the relative lengths…
base angles have the same degree measure and are, as a result…
Altitude
the height of an object or point in relation to sea level or…
Acute Triangle
An acute triangle is a triangle with all three angles acute (…
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…
24 terms
Geometry Pre-Ap Vocabulary
altitude
acute triangle
angle bisector
base angle
a segment from the vertex of a triangle to the opposite side…
a triangle with all three sides acute (less than 90 degrees).
line or ray that divides an angle into two congruent angles.
side of a triangle from which the height is constructed.
altitude
a segment from the vertex of a triangle to the opposite side…
acute triangle
a triangle with all three sides acute (less than 90 degrees).
Math Formulas Geometry pre
Trapezoid Prism
Parallelogram
Circle
Sphere
A= (1/2) h (b1 + b2)... V=AH
A = bh... V = lwh
A = πr²... C= 2πr or πd
V = 4/3 x πr³
Trapezoid Prism
A= (1/2) h (b1 + b2)... V=AH
Parallelogram
A = bh... V = lwh
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.
9 terms
Pre-AP Geometry
Corresponding angle converse
Alternate Interior Converse
Consecutive interior angle converse
Alternate exterior angle converse
if two lines are cut by a transversal so that the correspondi…
If two lines are cut by a transversal so that the interior an…
If two lines are cut by a transversal so that the consecutive…
If two lines are cut by a transversal so that the alternate e…
Corresponding angle converse
if two lines are cut by a transversal so that the correspondi…
Alternate Interior Converse
If two lines are cut by a transversal so that the interior an…
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 (…
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
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…
36 terms
Pre-AP Geometry-Tools of Geometry
Point
Line
Collinear Points
Plane
Described simply as a location.
Described as a straight, continuous arrangement of an infinit…
Points that are located on the same line.
Described as a flat surface.
Point
Described simply as a location.
Line
Described as a straight, continuous arrangement of an infinit…
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