Study sets matching "honors geometry"

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Study sets matching "honors geometry"

7 terms
Geometry Honors
Ray
Line segment
Line
3d
A part of a line, with one endpoint, that continues without e…
A part of a line with two endpoints
A straight path that goes without end in two directions.
having height, width, and depth
Ray
A part of a line, with one endpoint, that continues without e…
Line segment
A part of a line with two endpoints
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
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…
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
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
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…
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…
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…
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…
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
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
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
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…
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
79 terms
Honors Geometry Midterm Review (2016)
Obtuse Triangle
Acute Triangle
Adjacent Angles
Alternate Interior Angles
Obtuse Triangle
Acute Triangle
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…
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
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
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
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
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
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…
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…
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…
20 terms
Chapter 2 Geometry Honors
conditional statement
hypothesis
conclusion
converse
This has 2 parts, a hypothesis and a conclusion.
The "if" part of a conditional statement
The "then" part of a conditional statement.
This is formed when you switch the hypothesis and conclusion…
conditional statement
This has 2 parts, a hypothesis and a conclusion.
hypothesis
The "if" part of a conditional statement
210 terms
Geometry Honors Semester 1
Point
Line
Plane
Space
gives a location... undefined... dot
continuous... straight... infinite number of points... undefined
undefined... infinite... flat surface... 3 points to determine plane (…
set of all points
Point
gives a location... undefined... dot
Line
continuous... straight... infinite number of points... undefined
Honors Geometry Final Review
What are the 3 undefined terms in Geom…
4 points are coplanar. (A, S, N)
A line is made up of __________.
2 lines can be equal. (A, S, N)
Point, Line, Plane
Sometimes
Points
Never
What are the 3 undefined terms in Geom…
Point, Line, Plane
4 points are coplanar. (A, S, N)
Sometimes
37 terms
Chapter 1 Geometry Honors
acute angle
adjacent angle
angle
angle bisector
an angle that has a measure greater than 0 but less than 90 d…
angles that are next to each other. they share one ray and th…
a set of points consisting of two different rays that have th…
a ray that divides an angle into two angles that are congruent
acute angle
an angle that has a measure greater than 0 but less than 90 d…
adjacent angle
angles that are next to each other. they share one ray and th…
13 terms
Chapter 7 Geometry Honors
Transformation
Translations
Reflections
Rotations
The operation that moves a pre-image onto an image
A transformation that slides an object
A transformation that flips an object
A transformation that turns an object
Transformation
The operation that moves a pre-image onto an image
Translations
A transformation that slides an object
10 terms
Chapter 3 Geometry Honors
Parallel
Skew
Transversal
Corresponding
Lines that do not intersect
Lines that do not intersect and are not coplanar
A line that intersect a set of parallel lines
A pair of angles that are in the "same spot" and do not touch…
Parallel
Lines that do not intersect
Skew
Lines that do not intersect and are not coplanar
17 terms
Honors Geometry
Addition POE
Subtraction POE
Multiplication POE
Division POE
a+c=b+c
a-c=b-c
ac=bc
a/c=b/c
Addition POE
a+c=b+c
Subtraction POE
a-c=b-c
10 terms
Chapter 4 Geometry Honors
Acute
Obtuse
Equilateral
Equiangular
A triangle that has 3 angles less than 90 degrees
A triangle that has 1 angle more than 90 degrees
A triangle that has 3 sides congruent
A triangle that has 3 angles congruent
Acute
A triangle that has 3 angles less than 90 degrees
Obtuse
A triangle that has 1 angle more than 90 degrees
28 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
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
44 terms
Honors Geometry
point
line
plane
collinear points
no dimension... dot
one dimension... extends without end
two dimensions... extends without end, like a wall or floor
points that lie on the same line
point
no dimension... dot
line
one dimension... extends without end
17 terms
Geometry Honors
Midsegment
Midsegment Theorem
Perpendicular Bisector
Midsegment Equation
segment that connects 2 midpoints of a triangle
midsegment is 1/2 the length AND parallel to the opposite side
line, ray, or segment that goes through midpoint AND forms 90…
Midseg= 1/2(opposite side)
Midsegment
segment that connects 2 midpoints of a triangle
Midsegment Theorem
midsegment is 1/2 the length AND parallel to the opposite side
6 terms
Honors Geometry
Triangle Sum Theorem
Exterior Angle Theorem
Isosceles Triangle Theorem
Converse of Isosceles Triangle Theorem
The sum of the angle measures of a triangle is 180 degrees.
The measure of an exterior angle of a triangle is equal to th…
If 2 sides of a triangle are congruent, then the angles oppos…
If 2 angles of a triangle are congruent, then the sides oppos…
Triangle Sum Theorem
The sum of the angle measures of a triangle is 180 degrees.
Exterior Angle Theorem
The measure of an exterior angle of a triangle is equal to th…
21 terms
honors geometry
a square is __________ a rectangle
a rectangle is __________ a parallelog…
a rhombus is ________ a square
a rhombus is ___________ a parallelogram
always
sometimes
sometimes
always
a square is __________ a rectangle
always
a rectangle is __________ a parallelog…
sometimes
Honors Geometry
Perpendicular
4 Right Angles
Complementary
Then it's perpendicular to the other
If two lines intersect to form a linear pair of congruent ang…
If two lines are perpendicular then they intersect to form __…
If two sides of two adjacent acute angles are perpendicular t…
If a transversal is perpendicular to one of two parallel ____…
Perpendicular
If two lines intersect to form a linear pair of congruent ang…
4 Right Angles
If two lines are perpendicular then they intersect to form __…
Geometry Honors
coordinate plane
origin
x-axis
y-axis
formed by two number lines which meet at 0
the point where the number line meets
the horizontal number line
the vertical number line
coordinate plane
formed by two number lines which meet at 0
origin
the point where the number line meets
Honors Geometry
Altitude
Angle Bisector Theorem
Perpendicular Bisector Theorem
Median
In a triangle, a segment from a vertex of the triangle to the…
If a point is on the bisector of an angle, then it is equidis…
If a point is on the perpendicular bisector of a segment, the…
In a triangle, a line segment with endpoints that are the ver…
Altitude
In a triangle, a segment from a vertex of the triangle to the…
Angle Bisector Theorem
If a point is on the bisector of an angle, then it is equidis…
34 terms
Honors Geometry
Congruent/Congruent segment
Congruent Angles
Right Angles
Parallel lines
Lines that are the same length
Angles that are the same size
An angle that is measured to be 90°
A pair of lines that will never intersect with each other
Congruent/Congruent segment
Lines that are the same length
Congruent Angles
Angles that are the same size
Honors Geometry
Collinear points
coplanar points
coplanar lines
Bisector angle
points on the same line
points on the same plane
lines on the same plane
an angle that cuts something in half
Collinear points
points on the same line
coplanar points
points on the same plane
Unit 3 Honors Geometry
Betweenness of points theorem
Betweenness of rays theorem
Complements of the same angle
Supplements of the same angle
A-B-C, then AB+BC=AC
OA-OB-OC, then <AOB+<BOC=<AOC
are equal
are equal
Betweenness of points theorem
A-B-C, then AB+BC=AC
Betweenness of rays theorem
OA-OB-OC, then <AOB+<BOC=<AOC
Honors Geometry
Segment Addition Postulate
Ruler Postulate
Reflexive Property
Symmetric Property
If a point B lies on a line segment , then . That is, the dis…
on a number line, every point can be paired with a number and…
A quantity is congruent (equal) to itself. a = a
If a = b, then b = a
Segment Addition Postulate
If a point B lies on a line segment , then . That is, the dis…
Ruler Postulate
on a number line, every point can be paired with a number and…
50 terms
Geometry Honors - Midterm Exam Vocabulary
acute angle
adjacent angles
altitude
angle bisector
An angle with a measure between 0° and 90°.
Two angles that share a common vertex and side, but have no c…
A segment that originates at the vertex of a triangle and mak…
A segment that divides an angle of a triangle into two equal…
acute angle
An angle with a measure between 0° and 90°.
adjacent angles
Two angles that share a common vertex and side, but have no c…
Geometry Honors
Segment Addition Postulate
Acute Angles
Right Angle
Obtuse Angles
Angle that measures between 0 degrees and 90 degrees
Angle that measures 90 degrees
Angle that measures between 90 and 180 degrees
Segment Addition Postulate
Acute Angles
Angle that measures between 0 degrees and 90 degrees
Geometry-Honors
Triangle
Right Triangle
Obtuse Triangle
Acute Triangle
Any closed figure made by three line segments intersecting at…
When a triangle has one right angle.
When a triangle has one obtuse angle.
When all three angles in the triangle are acute.
Triangle
Any closed figure made by three line segments intersecting at…
Right Triangle
When a triangle has one right angle.
55 terms
Honors Geometry
Midpoint
Perpendicular Parallel Theorem
Parallel Parallel Theorem
Corresponding Angles Converse
divides a segment into 2 congruent pieces
if 2 lines are perpendicular to the same line, then they must…
if 2 lines are parallel to the same line, then they are paral…
if 2 lines are cut by a transversal, so that a pair of corr.…
Midpoint
divides a segment into 2 congruent pieces
Perpendicular Parallel Theorem
if 2 lines are perpendicular to the same line, then they must…
Honors Geometry
Supplementary Angles
Linear Pair
Adjacent Angles
Vertical Angles
Two angles are supplementary iff they add up to 180 degrees
A pair of adjacent angles is a linear pair iff the angles are…
Angles are Adjacent iff they share a common ray (are next to…
Angles are vertical iff they are opposite each other when two…
Supplementary Angles
Two angles are supplementary iff they add up to 180 degrees
Linear Pair
A pair of adjacent angles is a linear pair iff the angles are…
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