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Study sets matching "honors basic geometry"

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Study sets matching "honors basic geometry"

9 terms
Basics of Geometry (Honors)
Three non-collinear
Two
Two intersecting
Four non-coplanar
_____ _______points determine exactly one plane.
____ points determine exactly one line.
_____ ______ planes form a line.
_____ ______ points determine space.
Three non-collinear
_____ _______points determine exactly one plane.
Two
____ points determine exactly one line.
Basic Vocabulary for Geometry 9 Honors
Point
Line
Plane
Collinear Points
Indicates a location represented by a dot
Represented by a straight path that extends in 2 opposite dir…
Represented by a flat surface that extends without end and ha…
Points that all lie on the same line
Point
Indicates a location represented by a dot
Line
Represented by a straight path that extends in 2 opposite dir…
33 terms
Honors Geometry Basic Definitions and Terms
Geometry
Set
Finite Set
Infinite Set
branch of mathematics that defines and relates the basic prop…
a collection of distinct objects with common characteristics
a set whose elements can be counted
a set whose elements cannot be counted
Geometry
branch of mathematics that defines and relates the basic prop…
Set
a collection of distinct objects with common characteristics
18 terms
Basic Geometry
Point
Midpoint
Line
Plane
It is a location that is undefined.
Point that divides a segment into two congruent.
A series of points that extend in two directions infinitely t…
A flat surface that has no thickness.
Point
It is a location that is undefined.
Midpoint
Point that divides a segment into two congruent.
14 terms
Basic Geometry Vocab- Geo A. Honors
point
line
line segment
segment addition postulate
location in space
determined by two points, extends forever in opposite directi…
determined by two points, part of a line, begins and ends at…
line segment lengths can be determined by comparing the sum o…
point
location in space
line
determined by two points, extends forever in opposite directi…
11 terms
Honors Geometry A Final Flashcards: Transformations & Basics
3 Undefined Terms
Translation
Rotation
Reflection
Point, Line, Plane
Slide, moves a figure up, down, left or right
Turn
Flip
3 Undefined Terms
Point, Line, Plane
Translation
Slide, moves a figure up, down, left or right
124 terms
Basic Geometry Terms
Point
Line
Plane
Line Segment
Undefined term in Euclidean Geometry. A location in space. No…
Undefined term in Euclidean Geometry. The straight path of a…
Undefined term in Euclidean Geometry. The straight path of a…
A portion of a line that has definite length, and two endpoin…
Point
Undefined term in Euclidean Geometry. A location in space. No…
Line
Undefined term in Euclidean Geometry. The straight path of a…
28 terms
Honors Geometry Chapter 3
Parallel Lines
Skew Lines
Parallel Planes
If two parallel planes are cut by a th…
COPLANAR lines that do not intersect
NON coplanar lines that to not intersect (think left/right an…
Planes that do not intersect (Think floor and ceiling)
If planes X and Y are parallel, then their lines of intersect…
Parallel Lines
COPLANAR lines that do not intersect
Skew Lines
NON coplanar lines that to not intersect (think left/right an…
25 terms
Geometry Basic Terms
conjecture
counterexample
Collinear Points
Coplanar Points
an unproven statement based on observations.
an example that shows a conjecture is false.
Points that lie in the same line.
Points that lie in the same plane.
conjecture
an unproven statement based on observations.
counterexample
an example that shows a conjecture is false.
28 terms
Basic Geometry Vocabulary
acute angle
adjacent angles
complementary angles
obtuse angle
an angle whose measure is less than 90 degrees
two angles that share a common side and vertex but do not sha…
two angles whose sum is 90 degrees
an angle whose measure is greater than 90 degrees (but less t…
acute angle
an angle whose measure is less than 90 degrees
adjacent angles
two angles that share a common side and vertex but do not sha…
27 terms
Basic Geometry Terms
Point
Line
Plane
Collinear
A point has no size.
Goes on forever in both directions.... Two points create a line.
A flat surface that has no thickness.... Three points create a p…
Points that lie on the same line.... Points E, F, & C are collin…
Point
A point has no size.
Line
Goes on forever in both directions.... Two points create a line.
40 terms
Chapter 1 basic review geometry honors
What is a ray?
What is a segment?
What is a plane? How are they labeled?
What is a line?
A ray has an endpoint but extends forever in the other direct…
Has a starting and ending point and is a part of a line.
Has length and width but no thickness.... They intersect at a li…
Has length... No width or thickness... Extends forever in both dire…
What is a ray?
A ray has an endpoint but extends forever in the other direct…
What is a segment?
Has a starting and ending point and is a part of a line.
28 terms
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
36 terms
Geometry Honors
Perpendicular Lines
Linear Pair Theorem
Linear Pair Postulate
Angle Bisector
Lines that intersect to form right angles
If two angles form a linear pair then they are supplementary
If two angles form a linear pair then the sum of their measur…
A ray that divides an angle into two congruent angles
Perpendicular Lines
Lines that intersect to form right angles
Linear Pair Theorem
If two angles form a linear pair then they are supplementary
43 terms
Basic Geometry Terms
Line
Plane
Segment
Ray
Infinite set of points. Goes on forever.
A flat surface that goes on forever.
A part of a line that has 2 endpoints.
A part of a line having one endpoint and direction.
Line
Infinite set of points. Goes on forever.
Plane
A flat surface that goes on forever.
108 terms
Geometry Honors EOC Prep
Midpoint Formula
Distance Formula
3 Undefined Terms in Geometry
Constructing Perpendicular Bisector
Point, Line, and Plane.
Midpoint Formula
Distance Formula
20 terms
Geometry (Honors)
Kite
Trapezoid
Isosceles trapezoid
Rhombus
A 4-sided flat shape with straight sides that has two pairs o…
A trapezoid is a 4-sided flat shape with straight sides that…
the sides that aren't parallel are equal in length and both a…
a four-sided shape where all sides have equal length; opposit…
Kite
A 4-sided flat shape with straight sides that has two pairs o…
Trapezoid
A trapezoid is a 4-sided flat shape with straight sides that…
32 terms
Honors Geometry Chapter 1
Point
Line
Plane
Collinear
Undefined. No size, thickness, represents location, all other…
Undefined term. No thickness, goes on forever in opposite dir…
Undefined term. No thickness. Flat surface that extends infin…
points all in one line
Point
Undefined. No size, thickness, represents location, all other…
Line
Undefined term. No thickness, goes on forever in opposite dir…
43 terms
Basic Geometry Vocabulary
ray
line
segment
intersecting lines
lines that meet or cross
ray
line
45 terms
Geometry Basics
segment
ray
angle
sides of an angle
a part of a line bound by two distinct end points
a line with a starting point, but no end point
the space between two intersecting, usually measured in degre…
two rays intersecting at their endpoints
segment
a part of a line bound by two distinct end points
ray
a line with a starting point, but no end point
15 terms
Geometry Basics
Point
Line
Plane
Collinear
A location with no size or shape.
Made up of points with no thickness or width; Extends indefin…
A flat surface made up of points that extends indefinitely in…
Points that lie on the same line.
Point
A location with no size or shape.
Line
Made up of points with no thickness or width; Extends indefin…
34 terms
Geometry Honors Chapter 4 Review
scalene
isosceles
47º
78º
Find the measures of the sides of ∆ABC and classify the trian…
Find the measures of the sides of KPL and classify the triang…
m∠1=?
m∠2=?
scalene
Find the measures of the sides of ∆ABC and classify the trian…
isosceles
Find the measures of the sides of KPL and classify the triang…
37 terms
Honors Geometry
Polygon
Net
Point
Line
a two d figure with 3 or more sides where each side meters (e…
a two d diagram of a 3 d figure, show all surfaces in one view
something that has a location but not an extension, where two…
a continuous extent of length, without breadth or thickness
Polygon
a two d figure with 3 or more sides where each side meters (e…
Net
a two d diagram of a 3 d figure, show all surfaces in one view
79 terms
Honors Geometry Midterm Review (2016)
Obtuse Triangle
Acute Triangle
Adjacent Angles
Alternate Interior Angles
Obtuse Triangle
Acute Triangle
61 terms
Honors Geometry
A line and a point on that line are (A…
(Always, sometimes never) skew lines a…
(always, sometimes, never) Perpendicul…
(a, s, n) The sum of the measures of t…
Always
never
always
sometimes
A line and a point on that line are (A…
Always
(Always, sometimes never) skew lines a…
never
87 terms
Honors Geometry
Inductive reasoning
conjecture
counterexample
point
reasoning based on patterns you observe
conclusion you reach using inductive reasoning
example for which the conjecture is incorrect
location
Inductive reasoning
reasoning based on patterns you observe
conjecture
conclusion you reach using inductive reasoning
26 terms
Honors geometry
Polygon
side of a polygon
vertex of a polygon
convex polygon
a closed plane with three or more line segments
each line segment that forms a polygon
each endpoint of a side of a polygon
a polygon such that no line containing a side of the polygon…
Polygon
a closed plane with three or more line segments
side of a polygon
each line segment that forms a polygon
21 terms
Basic Geometry
point
line
line segment
ray
a location or position in space
an infinite set of points with no endpoints
two endpoints with all the points in between
part of a line, consisting of one endpoint and all the points…
point
a location or position in space
line
an infinite set of points with no endpoints
Honors Geometry
Chapter 1
Point
Line
Plane
...
...
...
Chapter 1
...
Point
...
25 terms
Geometry Honors
Incenter
Orthocenter
Midpoint Formula
Centroid/Medians
The point of concurrency of the three angle bisectors
The perpendicular segment from vertex of a triangle to the op…
A segment from vertex to midpoint. (steps: midpoint, slope, e…
Incenter
The point of concurrency of the three angle bisectors
Orthocenter
The perpendicular segment from vertex of a triangle to the op…
26 terms
1A 1B Vocab Geometry Honors
Perpendicular Bisector
Angle Bisector
Midline
Altitude
A ray, line or segment that is perpendicular to a segment at…
A ray, line or line segment that bisects an angle (cuts the a…
Segment that connects the midpoints of two sides of a triangle.
The segment connecting a vertex of a triangle drawn perpendic…
Perpendicular Bisector
A ray, line or segment that is perpendicular to a segment at…
Angle Bisector
A ray, line or line segment that bisects an angle (cuts the a…
33 terms
Honors Geometry
the point that is equidistant from the…
coplanar lines that have a point in co…
the point of concurrency of the angle…
the point of intersection of the media…
circumcenter
concurrent lines
incenter
centroid
the point that is equidistant from the…
circumcenter
coplanar lines that have a point in co…
concurrent lines
15 terms
Back to the Basics - Geometry Vocabulary
Point
Line
Plane
Collinear
dot, location, no thickness
Goes on forever in both directions, no width... NOTATION: Alway…
Flat, continues infinitely, no thickness; ... IMAGE: is of two p…
Points that are on the same line... IMAGE: Points F, B and A are…
Point
dot, location, no thickness
Line
Goes on forever in both directions, no width... NOTATION: Alway…
175 terms
Honors Geometry
Point
Line
Line segment
Ray
1. has no dimension... 2. represented by a dot... 3. named using on…
1. extends forever in one dimension... 2. has an arrowhead on ea…
1. part of a line that has 2 endpoints... 2. named by its endpoi…
1. part of a line with only one endpoint (initial point) and…
Point
1. has no dimension... 2. represented by a dot... 3. named using on…
Line
1. extends forever in one dimension... 2. has an arrowhead on ea…
52 terms
Honors Geometry
Midpoint
Colinear
Acute
Obtuse
A point that divides a segment into two congruent parts
Three or more points on the same line
An angle that is less than a right angle
An angle that is more than a right angle but less than a stra…
Midpoint
A point that divides a segment into two congruent parts
Colinear
Three or more points on the same line
15 terms
Honors Geometry Chapter 1
Segment Addition Postulate
Protractor Postulate
An angle can be named in 4 ways
Angle Addition Postulate
If b is between A and C, then AB + BC= AC
To find the measure in degrees of an angle, compute the absol…
For example : <abc ... 1. <1( if it has a number label)... 2. <b... 3.…
If point b lies in the interior of < AOC then m<AOB+m<BOC =m<…
Segment Addition Postulate
If b is between A and C, then AB + BC= AC
Protractor Postulate
To find the measure in degrees of an angle, compute the absol…
27 terms
Geometry Basic Vocabulary
Acute angle
Right angle
Obtuse angle
Straight angle
an angle whose measure is between 0 and 90 degrees
an angle whose measure is 90 degrees
an angle whose measure is between 90 and 180 degrees
an angle whose measure is 180 degrees
Acute angle
an angle whose measure is between 0 and 90 degrees
Right angle
an angle whose measure is 90 degrees
35 terms
Honors Geometry
vertical angles
supplementary angles
complementary angles
vertical angles theorem
two angles whose sides form opposite rays
angles that add to 180
angles that add to 90
If 2 angles are vertical angles, then they are congruent
vertical angles
two angles whose sides form opposite rays
supplementary angles
angles that add to 180
10 terms
Geometry Basics 101
collinear points
coplanar points
line
line segment
points on the same line
points on the same plane
has one dimension and continues infinitely in two directions
part of a line that has two endpoints
collinear points
points on the same line
coplanar points
points on the same plane
21 terms
Geometry Basics 102
Point
Line
Plane
Segment
An exact position or location
An infinite set of points extending in opposite directions.
A flat, infinite surface defined by three different points.
A set of points that extend from one endpoint to another. It…
Point
An exact position or location
Line
An infinite set of points extending in opposite directions.
12 terms
Geometry Honors Chapter 2
Perpendicularity
Complimentary Angles
Supplementary Angles
Adjacent Angles
Lines, rays and segments that intersect at right angles
Angles whos sum is 90 degrees
Angles who's sum is 180 degrees
Share a common side or ray
Perpendicularity
Lines, rays and segments that intersect at right angles
Complimentary Angles
Angles whos sum is 90 degrees
33 terms
Geometry Honors Chapter 2
inductive reasoning
conjecture
conditional
counterexample
reasoning based on patterns you observe
a conclusion you reach using inductive reasoning
if p then q
example that proves that a conclusion is not true
inductive reasoning
reasoning based on patterns you observe
conjecture
a conclusion you reach using inductive reasoning
142 terms
Honors Geometry
Point
Line
Plane
collinear
Location; two lines intersect to form
made of points; no thickness or width; two planes intersect t…
flat surface; no thickness
points that are on the same line
Point
Location; two lines intersect to form
Line
made of points; no thickness or width; two planes intersect t…
92 terms
Honors Geometry 1st Semester Vocabulary
parallelogram
rhombus
rectangle
square
quadrilateral with both pairs of opposite sides parallel
parallelogram with four congruent sides
parallelogram with four right angles
parallelogram with four congruent sides and four congruent an…
parallelogram
quadrilateral with both pairs of opposite sides parallel
rhombus
parallelogram with four congruent sides
17 terms
Honors Geometry Vocabulary
line segment
ray
plane
line
Part of a line consisting of two points and all the points be…
The part of a line that starts at an end point and extends fo…
Flat surface that has no thickness and extends forever. Name:…
Straight path that has no thickness and extends forever. Name…
line segment
Part of a line consisting of two points and all the points be…
ray
The part of a line that starts at an end point and extends fo…
55 terms
Geometry Honors Final Exam
8
55, 66, 99
6
19.3
Solve
The ratio of measures of sides of a triangle is 5:6:9 and the…
The polygons are similar. Find x.
Find x.
8
Solve
55, 66, 99
The ratio of measures of sides of a triangle is 5:6:9 and the…
22 terms
Basic Geometry Terms
Line
collinear points
plane
coplanar
2 or more points joined with no thickness or width that exten…
points that lie on the same plane
flat 2 dimensional surface that extends indefinitely in all d…
objects that lie on the same plane
Line
2 or more points joined with no thickness or width that exten…
collinear points
points that lie on the same plane
27 terms
Honors Geometry Chapter 4
Definition of Congruent Triangles
C.P.C.T.C
SSS Postulate
SAS Postulate
2 triangles are congruent if and only if their corresponding…
Corresponding parts of congruent triangles are congruent. ( D…
If 3 sides of one triangle are congruent to 3 sides of anothe…
If 2 sides and the included angle of 1 triangle are congruent…
Definition of Congruent Triangles
2 triangles are congruent if and only if their corresponding…
C.P.C.T.C
Corresponding parts of congruent triangles are congruent. ( D…
30 terms
1.01 Basic Geometry
point
line
plane
collinear
a location, with no size or dimension
a "stream" of points that has no width or depth
a flat surface that extends indefinitely in all directions
points that lie on the same line
point
a location, with no size or dimension
line
a "stream" of points that has no width or depth
19 terms
Geometry Honors Theorems & Postulates
Right Angle Congruence Theorem
Vertical Angles Theorem
Congruent Supplements Theorem
Congruent Complements Theorem
If 2 angles are right angles, then they are congruent
If 2 angles are vertical angles, then they are congruent
If 2 angles are supplementary to the same angle or congruent…
If 2 angles are complementary to the same angle or congruent…
Right Angle Congruence Theorem
If 2 angles are right angles, then they are congruent
Vertical Angles Theorem
If 2 angles are vertical angles, then they are congruent
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