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Study sets matching "honors geometry"

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Study sets matching "honors geometry"

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…
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
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
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
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…
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…
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
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
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
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
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…
Honors Geometry
Chapter 1
Point
Line
Plane
...
...
...
Chapter 1
...
Point
...
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
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…
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
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…
43 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
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…
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
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…
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
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…
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…
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
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
149 terms
Honors Geometry
Point
Line
Plane
Space
All geometric figures consist of this. These are always repre…
This extends in two directions without ever ending. Any two p…
This extends in all directions, meaning it has no edges. It c…
A set of all points you are working with
Point
All geometric figures consist of this. These are always repre…
Line
This extends in two directions without ever ending. Any two p…
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
84 terms
Geometry Honors
point
line
collinear
noncollinear
names a location and has no size; named by a single capital l…
a straight path that has zero thickness and extends forever i…
points that can be connected on the same line. any 2 points a…
3 or more points that cannot be connected on the same line.
point
names a location and has no size; named by a single capital l…
line
a straight path that has zero thickness and extends forever i…
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
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
21 terms
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
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
39 terms
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
14 terms
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…
32 terms
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
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…
11 terms
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 __…
32 terms
Geometry Honors
Point Plotting Theorom
Angle Construction Postulate
Angle Addition Postulate
Linear Pair
Allows us to draw a segment of any given length.
Allows for you to create an angle out of any given size/measu…
Angle Addition Postulate if an angle is bisected the two inte…
When two lines intersect and it adds up to 180 degrees.
Point Plotting Theorom
Allows us to draw a segment of any given length.
Angle Construction Postulate
Allows for you to create an angle out of any given size/measu…
38 terms
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…
51 terms
Geometry Honors
space
collinear points
coplanar points
opposite rays
the set of all points in one plane
points all in one line
points all in one plane
rays that have the same end point, but are going on opposite…
space
the set of all points in one plane
collinear points
points all in one line
17 terms
Honors Geometry Chapter 4 Vocabulary
Triangle Sum Theorem
Exterior Angle Theorem
Flow Proof
Corollary
The sum of the measures of the interior angles of a triangle…
The measure of an interior angle of a triangle is equal to th…
A flow proof uses statements in boxes, with reasons beneath t…
A statement that follows directly from a theorem.
Triangle Sum Theorem
The sum of the measures of the interior angles of a triangle…
Exterior Angle Theorem
The measure of an interior angle of a triangle is equal to th…
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…
70 terms
Geometry Honors
Point of Concurrency
Circumcenter
Angle Bisector
Incenter
Where three lines, segments, or rays intersect in a triangle
point of concurrency of the three perpendicular bisectors of…
A ray that divides an angle into two congruent (adjacent) ang…
the point of concurrency of the three angle bisectors in a tr…
Point of Concurrency
Where three lines, segments, or rays intersect in a triangle
Circumcenter
point of concurrency of the three perpendicular bisectors of…
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
188 terms
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.
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