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Study sets matching "pap geometry"

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Study sets matching "pap geometry"

82 terms
PAP Geometry
dodecagon
collinear
coplaner
reflexive
12 sides
points that lie on the same line
points and lines lie on the same plane
a=a
dodecagon
12 sides
collinear
points that lie on the same line
28 terms
PAP Geometry
point
collinear points
line
ray
any capital letter (A)
All points are on the same line, A,B,C.
you can name it any of the capital letters
starting point by no end point
point
any capital letter (A)
collinear points
All points are on the same line, A,B,C.
33 terms
PAP geometry
The square of 2
The cube of 2
The square of 3
The cube of 3
4
8
9
27
The square of 2
4
The cube of 2
8
16 terms
Pap Geometry
Postulate 5
Postulate 6
Postulate 7
Postulate 8
Through any two points there exists exactly one line
Line contains at least two points
If two lines intersect, their intersection is exactly one point
Through any three non collinear points there exists one plane
Postulate 5
Through any two points there exists exactly one line
Postulate 6
Line contains at least two points
22 terms
pap geometry
square formula
rectangle formula
triangle formula
circle formula
perimeter = 4S... area = s^2
perimeter = 2L + 2W... area = LW
perimeter = a+b+c... area = 1/2bh
circumference = 2d... area = 3.14 (r)^2
square formula
perimeter = 4S... area = s^2
rectangle formula
perimeter = 2L + 2W... area = LW
8 terms
PAP Geometry
Circumcenter thm
The circumcenter
Incenter thm
The incenter
equal distant to the VERTICIES of a triangle
Is the point where 3 PERPENDICULAR BISECTORS of a triangle in…
Equidistant from the SIDES of a triangle
Is is the point where the ANGLE BISECTORS of a triangle inter…
Circumcenter thm
equal distant to the VERTICIES of a triangle
The circumcenter
Is the point where 3 PERPENDICULAR BISECTORS of a triangle in…
20 terms
PAP Geometry
1. Annulus
2. Apothem
3. Area of a Parallelogram
4. Area of a Square
A ring-shaped region bound by two concentric circles (they ha…
The distance from the side of a regular polygon to the center…
bh
bh ... or... s squared (s=side length)
1. Annulus
A ring-shaped region bound by two concentric circles (they ha…
2. Apothem
The distance from the side of a regular polygon to the center…
66 terms
PAP Geometry
isosceles triangle
point slope form
slope intercept form
parallel lines
two sides congruent ... base angles same... if equilateral, then it…
Y-Y1=M(X-X1)
Y=Mx+B
same slope different Y intercept
isosceles triangle
two sides congruent ... base angles same... if equilateral, then it…
point slope form
Y-Y1=M(X-X1)
41 terms
Formulas for Geometry PAP
Distance Formula
Slope Intercept
Point Slope
Standard Form
√(x2 - x1)² + (y2 - y1)²
y = mx + b
y - y1 = m(x - x1)
Ax + By = C
Distance Formula
√(x2 - x1)² + (y2 - y1)²
Slope Intercept
y = mx + b
63 terms
Geometry PAP Chapter 1
acute angle
adjacent angles
angle
area
an angle greater than 0 and less than 90
two angles in the same place with a common vertex and a commo…
a figure formed by two rays with a common endpoint
the number of non overlapping unit square of a given size tha…
acute angle
an angle greater than 0 and less than 90
adjacent angles
two angles in the same place with a common vertex and a commo…
GEOMETRY PAP REVIEW
POINT
LINE
Line Segment
Ray
A location and has no size. It is represented by a dot.
An object with no width that extends forever in both directio…
A part of a line consisting of two end points in between.
Part of a line consisting one end point extending forever in…
POINT
A location and has no size. It is represented by a dot.
LINE
An object with no width that extends forever in both directio…
PAP geometry chapter 1
A line that has 2 end points
A line that goes inifintely in 2 direc…
A line that has one end point and goes…
Collinear
A line segment
A line
A ray
2 points on the same line
A line that has 2 end points
A line segment
A line that goes inifintely in 2 direc…
A line
41 terms
Geometry PAP Vocab
Point, Line, and Plane
Point
Line
Plane
the three undefined terms in geometry.
has no dimension and is represented by a dot with a capital l…
has one dimension and is a set of points that extend infinite…
has two dimensions and extends infinitely in all directions.
Point, Line, and Plane
the three undefined terms in geometry.
Point
has no dimension and is represented by a dot with a capital l…
48 terms
Geometry PAP Unit 9
Transformation
Preimage
Image
Isometry
Move or change
Original figure
Image after a transformation (movement)
A transformation that preserves length and angle measure [con…
Transformation
Move or change
Preimage
Original figure
12 terms
Geometry PAP - transformations
Reflection
Translation
Rotation
Symmetry
Flips a line over a line of reflection (same distance)
Sliding along a vector <a,b> by adding a to X and b to y
Turns around center of rotation ... New is same distance from ce…
Shape is symmetric if a transformation = identical image
Reflection
Flips a line over a line of reflection (same distance)
Translation
Sliding along a vector <a,b> by adding a to X and b to y
24 terms
Geometry PAP- foundations
Point
Line
Ray
Line segment
•A
<----->
•------->
From point to point
Point
•A
Line
<----->
12 terms
Geometry PAP- Transversals
Corresponding angles
Alternate interior angles
Complementary angles
Linear pair
Share same position at each intersection across || lines... Equal
Angles formed on opposite sides of transversal and inside the…
2 angles=90 degrees
A pair of adjacent angles
Corresponding angles
Share same position at each intersection across || lines... Equal
Alternate interior angles
Angles formed on opposite sides of transversal and inside the…
15 terms
Geometry PAP 1st Semester Vocabulary
Segment Addition Postulate
Angle Addition Postulate
Substitution Property
Congruence
If points A, B, and C are collinear and B is between A and C,…
If point B is in the interior of ∠AOC, then m∠AOB + m∠BOC = m…
If b = c, then c can replace b in any expression.
Segments or angles that has the same measure.
Segment Addition Postulate
If points A, B, and C are collinear and B is between A and C,…
Angle Addition Postulate
If point B is in the interior of ∠AOC, then m∠AOB + m∠BOC = m…
14 terms
Geometry PAP- logic and reasoning
Conjecture
Inductive reasoning
Conditional statement
Conclusion of statement
A statement you believe to be true
Making a conjecture based on pattern or example ( specific to…
A logical statement in form of "if...then"
Comes after. The then
Conjecture
A statement you believe to be true
Inductive reasoning
Making a conjecture based on pattern or example ( specific to…
14 terms
PAP Geometry Chapter 5
circumcenter
incenter
median
centroid
the intersection of the perpendicular bisectors. It will make…
the intersection of the angle bisectors. It will make a circl…
segment that runs from a midpoint to the opposite vertex
intersection of the medians
circumcenter
the intersection of the perpendicular bisectors. It will make…
incenter
the intersection of the angle bisectors. It will make a circl…
24 terms
PAP Geometry Chapter 6
Polygon Interior Angle Sum
Looking for 1 Interior Angle
Polygon EXT angles sum
Parallelogram (6.3)
The sum of the interior angles measures "180(n-2)"
"180(n-2)/n"
The sum of the exterior angles will always be "360"
Opposite sides are congruent
Polygon Interior Angle Sum
The sum of the interior angles measures "180(n-2)"
Looking for 1 Interior Angle
"180(n-2)/n"
28 terms
Chapter 2 geometry PAP
Inductive Reasoning
Conjecture
Counter example
Conditional Statement
Type of reasoning that looks for a pattern to reach a conclus…
A conclusion reached by inductive reasoning (it is proven and…
A specific case used to prove a conjecture is false; the conc…
A logical statement that has 2 parts called a hypothesis and…
Inductive Reasoning
Type of reasoning that looks for a pattern to reach a conclus…
Conjecture
A conclusion reached by inductive reasoning (it is proven and…
70 terms
PAP Geometry Vocabulary
Undefined term
Point
Line
Plane
A word without a formal definition
A point has no dimension
A line has 1 dimension. It extends without end
A plane has 2 dimensions and extends without end
Undefined term
A word without a formal definition
Point
A point has no dimension
17 terms
Geometry PAP Unit 3
Circum-center of a triangle
Circumscribed about
Concurrent
In-center of a triangle
The point of currency of the perpendicular bisector of a tria…
A circle is circumscribed about a polygon if the vertices of…
When three or more lines intersect at one point,they are conc…
The point of concurrency of the angle bisectors of a triangle.
Circum-center of a triangle
The point of currency of the perpendicular bisector of a tria…
Circumscribed about
A circle is circumscribed about a polygon if the vertices of…
PAP Geometry Chapter 4
Annulus
Apothem
Composite Figure
Great Circle of a Sphere
A ring-shaped object, structure, or region.
A line from the center of a regular polygon at right angles t…
A figure (or shape) that can be divided into more than one of…
A great circle, also known as an orthodrome or Riemannian cir…
Annulus
A ring-shaped object, structure, or region.
Apothem
A line from the center of a regular polygon at right angles t…
29 terms
PAP Geometry Vocab
Point
Line
collinear points
plane
A point has no dimension, but can be visualized as a specific…
A line is made up of an infinite number of points that extend…
points that are located on the same line
a flat surface with infinite length and width, but no depth.…
Point
A point has no dimension, but can be visualized as a specific…
Line
A line is made up of an infinite number of points that extend…
12 terms
Pap geometry unit 3
Parallel lines
Skew lines
Parallel planes
Transversal
2 lines that do not intersect and are coplanar
2 lines that do not intersect and are not coplanar
2 planes that do not intersect
A line that intersects two or more coplanar lines at differen…
Parallel lines
2 lines that do not intersect and are coplanar
Skew lines
2 lines that do not intersect and are not coplanar
16 terms
Topic 1 - Tools of Geometry (PAP)
If B is between A and C, then
If P is in the interior of ∠RST, then
If B is the midpoint of AC, then
If two angles are vertical, then
Segment Addition Postulate... AB+BC=AC
Angle Addition Postulate... m∠RSP + m∠PST = m∠RST
...
they are formed by 2 pairs of opposite rays.
If B is between A and C, then
Segment Addition Postulate... AB+BC=AC
If P is in the interior of ∠RST, then
Angle Addition Postulate... m∠RSP + m∠PST = m∠RST
8 terms
Molecular Geometry PAP Notes
Linear
Trigonal Planar Trigonal Planar
Trigonal Planar BENT
Tetrahedral Tetrahedral
2:0
3:0
2:1
4:0
Linear
2:0
Trigonal Planar Trigonal Planar
3:0
11 terms
PAP Geometry Ch3 Vocab
Quadrilateral
Square
Rectangle
Perimeter
A 4 sided figure or having 4 straight sides.
A plane figure with 4 equal straight sides and 4 right angles.
A plane figure with 4 straight sides and 4 right angles. Oppo…
Distance around a figure
Quadrilateral
A 4 sided figure or having 4 straight sides.
Square
A plane figure with 4 equal straight sides and 4 right angles.
29 terms
Geometry PAP Topic 8
angle of rotation
center of dilation
center of rotation
composition of transformations
the positive number of degrees that a figure rotates
See dilation
See rotation
A composition of transformations is a combination of two or m…
angle of rotation
the positive number of degrees that a figure rotates
center of dilation
See dilation
Pap Geometry exam review.
Angle
Parallel lines
Congruent
Collinear
A figure formed by two rays with a common endpoint
Two lines that could go in forever and never meet.
Same size, same shape.
Three points that lie on the same line.
Angle
A figure formed by two rays with a common endpoint
Parallel lines
Two lines that could go in forever and never meet.
PAP geometry chapter 2
Inductive reasoning
Conjecture
What is it called when 2 statements ar…
A compound statement using the word an…
Reasoning that uses numbers of specfic examples to to arrive…
A statement or conclusion drawn from inductive reasoning
A compound statement
Conjunction
Inductive reasoning
Reasoning that uses numbers of specfic examples to to arrive…
Conjecture
A statement or conclusion drawn from inductive reasoning
33 terms
PAP Geometry Final Vocab
Point
Line
Plane
Space
smallest unit in geometry
2 points
3 non-collinear points
4 non-coplanar points
Point
smallest unit in geometry
Line
2 points
11 terms
PAP Geometry U2
conditionals
hypothesis
conclusion
converse
if-then statements; p -> q
"if" part of conditional
"then" part of a conditional
reverse order of the original conditional; q -> p
conditionals
if-then statements; p -> q
hypothesis
"if" part of conditional
12 terms
PAP Geometry SUMNOCO
Undefined terms
Inductive reasoningg
Deductive reasoning
Law of detachment
Terms that cannot be defined with simpler terms (points, line…
Using a pattern to form a conjecture
Using rules to prove a conjecture
p->q... p; therefore q
Undefined terms
Terms that cannot be defined with simpler terms (points, line…
Inductive reasoningg
Using a pattern to form a conjecture
8 terms
PAP Geometry Unit 2B
TRANSFORMATION
DEGREE OF ROTATION
DILATION
POINT OF ROTATION
general term for 4 specific ways to manipulate the shape of a…
measure of degree an angle is fixated around a point.
produces an image that is the same shape, but a different size.
see "degree of rotation"
TRANSFORMATION
general term for 4 specific ways to manipulate the shape of a…
DEGREE OF ROTATION
measure of degree an angle is fixated around a point.
Geometry PAP Formulas
Distance Formula
Slope Intercept
Point Slope
Standard Form
d=√((x₂-x₁)²+(y₂-y₁)²)
y=mx+b
y-y₁=m(x-x₁)
Ax + By = C
Distance Formula
d=√((x₂-x₁)²+(y₂-y₁)²)
Slope Intercept
y=mx+b
65 terms
PAP Geometry Semester 1
Collinear
Ray
Postulate
Segment
Points that lie on the same line
A point with a line extending forever in one direction
A statement that is accepted as true
A line with two definite end points
Collinear
Points that lie on the same line
Ray
A point with a line extending forever in one direction
14 terms
PAP Geometry: Properties of Parallelograms
Rhombus
Rectangle
Square
Trapezoid
~ all properties of a parallelogram... ~ all sides are congruent…
~ all properties of a parallelogram... ~ all angles are right an…
~ all properties of a parallelogram... ~ all properties of a rho…
~ 1 pair of opposite sides parallel (definition)... ~ 2 pairs co…
Rhombus
~ all properties of a parallelogram... ~ all sides are congruent…
Rectangle
~ all properties of a parallelogram... ~ all angles are right an…
30 terms
Unit Circle PAP Geometry
What is the radian exact for 360 degre…
What does the Greek letter theta mean?
What is the coordinate exact for 330 d…
What are the trig forms of the coordin…
2 pi
Angle
Square root of 3/2, 1/2
Cos theta, sin theta
What is the radian exact for 360 degre…
2 pi
What does the Greek letter theta mean?
Angle
15 terms
PAP Geometry - 2nd Semester
If the diagonals of a parallelogram ar…
A square is a rectangle
The diagonals of a trapezoid bisect ea…
If two lines are cut by a transversal,…
Sometimes
Always
Never
Sometimes
If the diagonals of a parallelogram ar…
Sometimes
A square is a rectangle
Always
10 terms
Geometry PAP Unit 4 Vocab
triangle sum theorem
exterior angle theorem
third angle theorem
SSS postulate
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…
if two angles of a triangle are congruent to two angles of an…
if the three sides of a triangle are congruent to the three s…
triangle sum theorem
the sum of the measures of the interior angles of a triangle…
exterior angle theorem
the measure of the exterior angle of a triangle is equal to t…
11 terms
pap geometry postulates quiz
postulate 5
postulate 6
postulate 7
postulate 8
through any two points there exists exactly one line
aa line consists at least 2 points
if two lines intersect, then there intersection is exactly on…
through any three noncollinear points there exists exactly on…
postulate 5
through any two points there exists exactly one line
postulate 6
aa line consists at least 2 points
15 terms
PAP Geometry - 2nd Semester
If the diagonals of a parallelogram ar…
A square is a rectangle
The diagonals of a trapezoid bisect ea…
If two lines are cut by a transversal,…
Sometimes
Always
Never
Sometimes
If the diagonals of a parallelogram ar…
Sometimes
A square is a rectangle
Always
10 terms
PAP-Geometry Terms
Point
Line
Collinear Points
Plane
An exact location, no size, only position
Straight, no thickness, extends in both directions infinitely
Two or more points on the same line
A flat surface with no thickness
Point
An exact location, no size, only position
Line
Straight, no thickness, extends in both directions infinitely
PAP Geometry Vocabulary (Mr. Stubblefield)
ray
line segment
congruent segments
midpoint
part of a line that consists of an endpoint and all points on…
a line consisting of two endpoints.
line segments that have the same length.
a point that divides, or bisects, a segment into two congruen…
ray
part of a line that consists of an endpoint and all points on…
line segment
a line consisting of two endpoints.
12 terms
Properties and Definitions Geometry PAP-2016
<ABC is a right angle.
<CDE is a straight angle.
<1 and <2 are complementary angles.
<3 and <4 are supplementary angles.
m<ABC = 90; Definition of a right angle.
m<CDE = 180; Definition of a straight angle.
m<1 + m<2 = 90; Definition of complementary angles.
m<3 + m<4 = 180; Definition of supplementary angles.
<ABC is a right angle.
m<ABC = 90; Definition of a right angle.
<CDE is a straight angle.
m<CDE = 180; Definition of a straight angle.
8 terms
Geometry PAP Proving Triangles Congruent
SSS
SAS
ASA
AAS
side side side
side angle side
angle side angle
angle angle side
SSS
side side side
SAS
side angle side
39 terms
TWHS PAP Geometry Implied Statements
↔️AB
➖AB
➡️AB
ABC
Line AB
Segment AB
Ray AB
B is between A and C
↔️AB
Line AB
➖AB
Segment AB
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