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Study sets matching "geometry pre ap honors"

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Study sets matching "geometry pre ap honors"

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
93 terms
Geometry- PreAP
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
71 terms
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
93 terms
Geometry- PreAP
Collinear Points
Opposite Rays
Midpoint
Angle Bisector
Points that lie on the same line.
Are two rays that have a common end point. And form a line.
A point that divides a segment into two congruent segments.
A ray that divides an angle into two congruent angles.
Collinear Points
Points that lie on the same line.
Opposite Rays
Are two rays that have a common end point. And form a line.
26 terms
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…
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…
12 terms
Geometry Pre-AP: Circles
chord
secant
tangent
point of tangency
chord
secant
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)
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°
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…
13 terms
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.
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…
71 terms
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…
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…
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…
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
28 terms
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…
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.
56 terms
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
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 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
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…
15 terms
Pre-AP Honors Vocabulary
Diction
Syntax
Parallelism
Anaphora
Word choice
Sentence structure, word order
Recurrent syntactic similarity... Ex: She enjoys running, skiin…
Repetition of the same word(s) at beginnings of successive ph…
Diction
Word choice
Syntax
Sentence structure, word order
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
159 terms
Geometry Pre-AP Final 1
Ruler Postulate
Segment Addition Postulate
Define Congruence
Define Midpoint
To measure a coordinate
If B is between A and C, then AB + BC = AC
Same size and same shape
Bisects a segment
Ruler Postulate
To measure a coordinate
Segment Addition Postulate
If B is between A and C, then AB + BC = AC
93 terms
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
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…
11 terms
pre ap geometry
angle bisectors
perpendicular bisectors
altitude
medians
incenter (equidistant from sides)
circumcenter (equidistant from vertices)
orthocenter (perpendicular to sides but don't bisect)
centroid (length of segment of a median from the vertex to ce…
angle bisectors
incenter (equidistant from sides)
perpendicular bisectors
circumcenter (equidistant from vertices)
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…
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
11 terms
Pre-AP Geometry
Point A
ray AB
line AB
segment AB
A
--->... AB
<-->... AB
---... AB
Point A
A
ray AB
--->... AB
15 terms
Pre-Ap Honors Vocab
diction
syntax
parallelism
anaphora
word choice
sentence structure, word order
recurrent syntactic similarity
repetition of the same words at beginning o successive phrases
diction
word choice
syntax
sentence structure, word order
18 terms
Geometry Pre-AP Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
1. The points on a line can be paired with the real numbers i…
If B is between A and C, then AB + BC = AC
On line AB in a given plane, choose any point O between A and…
If point B lies in the interior of <AOC, then m<AOB + m<BOC =…
Ruler Postulate
1. The points on a line can be paired with the real numbers i…
Segment Addition Postulate
If B is between A and C, then AB + BC = AC
13 terms
Pre-AP Geometry Formulas
Total Surface Area of a Prism
Lateral Surface Area of a Prism
Total Surface Area of a Pyramid
Lateral Surface Area of a Pyramid
S = Ph + 2B
S = Ph
S = ½Pι + B
S = ½Pι
Total Surface Area of a Prism
S = Ph + 2B
Lateral Surface Area of a Prism
S = Ph
35 terms
Geometry Pre-AP
Point
Line
Collinear Points
Plane
A location; a point has no size and is denoted by a capital l…
A series of points that extend in two opposite directions wit…
Points that lie on the same line
A flat surface that has no thickness; contains many lines and…
Point
A location; a point has no size and is denoted by a capital l…
Line
A series of points that extend in two opposite directions wit…
25 terms
Geometry Pre - Ap Notes .
Altitude
perpendicular bisector
Perpendicular lines
proportional sides
a line segment through a vertex and perpendicular to (i.e. fo…
perpendicular bisector is a special kind of segment, ray, or…
The relationship between two lines which meet at a right angl…
If the measures of the corresponding sides of two triangles a…
Altitude
a line segment through a vertex and perpendicular to (i.e. fo…
perpendicular bisector
perpendicular bisector is a special kind of segment, ray, or…
9 terms
Pre AP Geometry Vocab
Point
Line
Plane
Intersection
No size, represents one location
2 points, no thickness, extends forever in both directions
3 points, no thickness, extends in all directions
Where points intersect
Point
No size, represents one location
Line
2 points, no thickness, extends forever in both directions
14 terms
Pre-AP Geometry I
Net
Isometric Drawing
Orthographic Drawing
Point
A two-dimensional diagram that you can fold to form a three d…
Shows a corner view of a three dimensional figure. It allows…
Shows three separate views; a top, front, and a right side vi…
A location that has no size or shape. It is undefined.
Net
A two-dimensional diagram that you can fold to form a three d…
Isometric Drawing
Shows a corner view of a three dimensional figure. It allows…
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).
24 terms
pre ap geometry
acute angle
adjacent angles
angle
collinear
angle whose measure is less than 90°
angles who share a common side
Area created by two rays or segments with common initial poin…
points lying on the same line ,segment , or Ray
acute angle
angle whose measure is less than 90°
adjacent angles
angles who share a common side
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
5 terms
Geometry Pre Ap
Equivalent ratios
Proportion
Reciprocal property
Interchange Mean Property
Ratios that have the same simplified ratios
2 equal ratios
If two ratios are equal, then their reciprocals are also equal
If you interchange the means of a proportion, then you form a…
Equivalent ratios
Ratios that have the same simplified ratios
Proportion
2 equal ratios
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.
27 terms
Pre-AP Geometry Vocab
Angle Bisector
Linear Pair
Midpoint
Segment Bisector
Ray is an angle bisector ↔ Divides angle into 2 congruent ang…
2 angles are linear pair ↔ they are adjacent angles whose non…
A point is a midpoint ↔ it divides a segment into 2 congruent…
A set of points is segment bisector ↔ intersection with the s…
Angle Bisector
Ray is an angle bisector ↔ Divides angle into 2 congruent ang…
Linear Pair
2 angles are linear pair ↔ they are adjacent angles whose non…
15 terms
Geometry PreAP
3sides
4sides
5sides
6sides
Triangles
Quadrilateral
Pentagon
Hexagon
3sides
Triangles
4sides
Quadrilateral
8 terms
pre ap geometry terms
point
line
plane
line segment
undefined term, specific location, no dimension, represented…
undefined term, a connected straight path, continues forever
undefined term, a flat surface, extends forever
defined term, portion of a line consisting of two points and…
point
undefined term, specific location, no dimension, represented…
line
undefined term, a connected straight path, continues forever
15 terms
Pre-AP Honors Vocabulary
Diction
Syntax
Parallelism
Anaphora
Word choice
Sentence structure, word order
Recurrent syntactic similarity
Repetition of the same word(s) at beginnings of succesive phr…
Diction
Word choice
Syntax
Sentence structure, word order
16 terms
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
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