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Study sets matching "geometry parallel"

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Study sets matching "geometry parallel"

Geometry - Parallel line vocabulary
a line that intersects two or more cop…
Inside the parallel lines and on oppos…
lie on the same side of the transversa…
Angles that have the same relative pos…
Transversal
Alternate Interior Angles
Consecutive Interior Angles
Corresponding Angles
a line that intersects two or more cop…
Transversal
Inside the parallel lines and on oppos…
Alternate Interior Angles
19 terms
Geometry: Parallel & Perpendicular Lines
transversal
alternate angles
corresponding
Corresponding Angle Postulate
a line that crosses over two parallel lines
two angles that are on opposite sides of the transversal (int…
refer to the position in the group of four angles
corresponding angles are congruent
transversal
a line that crosses over two parallel lines
alternate angles
two angles that are on opposite sides of the transversal (int…
Geometry- Parallel Lines
Parallel Lines
Vertical angles
Supplementary angles
Transversal
Lines that never intersect.
angles formed when two lines intersect that across from one a…
angles whose sum is 180 degrees
a line that intersects 2 or more parallel lines
Parallel Lines
Lines that never intersect.
Vertical angles
angles formed when two lines intersect that across from one a…
14 terms
Geometry- Parallel Lines
Parallel Lines
Vertical angles
Supplementary angles
Transversal
Lines that never intersect.
angles formed when two lines intersect that across from one a…
angles whose sum is 180 degrees
a line that intersects 2 or more parallel lines
Parallel Lines
Lines that never intersect.
Vertical angles
angles formed when two lines intersect that across from one a…
8 terms
geometry parallel lines
corresponding angles
alternate interior angles
interior angles on the same side
vertical angles
If parallel lines are cut by a transversal, then correspondin…
If parallel lines are cut by a transversal,then alternate int…
If parallel lines are cut by a transversal, then interior ang…
Vertical angles are equal in measure
corresponding angles
If parallel lines are cut by a transversal, then correspondin…
alternate interior angles
If parallel lines are cut by a transversal,then alternate int…
8 terms
Mosinee Geometry Parallel Relationships
parallel lines
skew
parallel plane
transversal
coplanar; never intersect
lines on separate planes that never intersect
two planes that never intersect (example: front and back of a…
line that intersects 2 or more coplanar lines
parallel lines
coplanar; never intersect
skew
lines on separate planes that never intersect
10 terms
Geometry - Parallel Lines
Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
Same Side or Consecutive Interior Angles
Angles that are in the same relative position - they are cong…
Angles that are both inside the parallel lines and are on opp…
Angles that are both outside of the parallel lines and are on…
Angles that are both inside the parallel lines and are on the…
Corresponding Angles
Angles that are in the same relative position - they are cong…
Alternate Interior Angles
Angles that are both inside the parallel lines and are on opp…
8 terms
Mosinee Geometry Parallel Relationships
parallel lines
skew
parallel plane
transversal
coplanar; never intersect
lines on separate planes that never intersect
two planes that never intersect (example: front and back of a…
line that intersects 2 or more coplanar lines
parallel lines
coplanar; never intersect
skew
lines on separate planes that never intersect
Geometry - Unit 3 - Parallel Lines
Parallel Lines
Skew Lines
Perpendicular Lines
Transversal
Coplanar lines that do not intersect - lines that are the sam…
Non-coplanar lines that do not intersect
Two lines that intersect to form a right angle
A line that intersects at least two other lines
Parallel Lines
Coplanar lines that do not intersect - lines that are the sam…
Skew Lines
Non-coplanar lines that do not intersect
10 terms
Geometry - Parallel Lines
Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
Same Side or Consecutive Interior Angles
Angles that are in the same relative position - they are cong…
Angles that are both inside the parallel lines and are on opp…
Angles that are both outside of the parallel lines and are on…
Angles that are both inside the parallel lines and are on the…
Corresponding Angles
Angles that are in the same relative position - they are cong…
Alternate Interior Angles
Angles that are both inside the parallel lines and are on opp…
16 terms
Geometry: Parallel and Perpendicular Lines
Parallel Postulate
Congruent Linear Pair Theorem
Adjacent Acute Angles Theorem
Perpendicular Four Right Angle Theorem
If there is a line and a point not on the line, then there is…
If two lines intersect to form a linear pair of congruent ang…
If two sides of two adjacent angles are perpendicular, then t…
If two lines are perpendicular, then they intersect to form f…
Parallel Postulate
If there is a line and a point not on the line, then there is…
Congruent Linear Pair Theorem
If two lines intersect to form a linear pair of congruent ang…
12 terms
Geometry - Parallel line vocabulary
Transversal
Alternate Interior Angles
Consecutive Interior Angles
Corresponding Angles
a line that intersects two or more coplanar lines at differen…
Inside the parallel lines and on opposite (alternate) sides o…
lie on the same side of the transversal and on the interior o…
Angles that have the same relative position
Transversal
a line that intersects two or more coplanar lines at differen…
Alternate Interior Angles
Inside the parallel lines and on opposite (alternate) sides o…
47 terms
Geometry: Parallelism
parallel lines
skew lines
postulate
postulate
coplanar lines that don't intersect [symbol is II]
non parallel lines
in a plane, two lines perpendicular to the same segment are p…
through a point not on a line, there is exactly one line para…
parallel lines
coplanar lines that don't intersect [symbol is II]
skew lines
non parallel lines
13 terms
Geometry 3: Parallel and Perpendicular Lines
parallel lines
parallel planes
skew lines
transversals
lines in the same plane that never intersect
planes that do not intersect
Lines in three dimensional space that do not intersect and ar…
a line that intersects two or more lines at unique points
parallel lines
lines in the same plane that never intersect
parallel planes
planes that do not intersect
Geometry Parallell
Parallell Lines
Alternate interior angles
Same side interior angles
Corresponding angles
Two or more lines that never touch
Angles that are opposite Angles that are transversals in betw…
Angles that are transversals on the same side in between para…
Angles that are either left and above or right and above
Parallell Lines
Two or more lines that never touch
Alternate interior angles
Angles that are opposite Angles that are transversals in betw…
23 terms
Geometry- Parallelism
parallel
Euclidean Geometry
Euclid's First Postulate
Euclid's Second Postulate
two lines which do not intersect
built from the foundation of five postulates, twenty-three de…
to a draw a straight line from any point to any point
to produce a finite straight line continuously in a straight…
parallel
two lines which do not intersect
Euclidean Geometry
built from the foundation of five postulates, twenty-three de…
15 terms
Geometry - Unit 3 - Parallel Lines
Parallel Lines
Skew Lines
Perpendicular Lines
Transversal
Coplanar lines that do not intersect - lines that are the sam…
Non-coplanar lines that do not intersect
Two lines that intersect to form a right angle
A line that intersects at least two other lines
Parallel Lines
Coplanar lines that do not intersect - lines that are the sam…
Skew Lines
Non-coplanar lines that do not intersect
Geometry Perpendicular and Parallel Theorems
If two lines intersect to form a linea…
Corresponding Angles Congruence Theorem
Corresponding Angles Converse
Alternate Interior Angles Congruence T…
Angles are congruent
If two lines intersect to form a linea…
Corresponding Angles Congruence Theorem
19 terms
Geometry Chapter 3 Parallel Lines
Definition of Parallel Lines
Symbol used to denote two parallel lines
Parallel Planes
Skew Line
Two lines on the same plane that do not intersect.
Two planes that do not intersect
Two lines that do not intersect AND are not on the same plan.
Definition of Parallel Lines
Two lines on the same plane that do not intersect.
Symbol used to denote two parallel lines
10 terms
Geometry Perpendicular and Parallel Theorems
If two lines intersect to form a linea…
Corresponding Angles Congruence Theorem
Corresponding Angles Converse
Alternate Interior Angles Congruence T…
Angles are congruent
If two lines intersect to form a linea…
Corresponding Angles Congruence Theorem
18 terms
Geometry Unit 3 (parallel lines)
Corresponding Angles, Congruent
Same-Side Interior Angles, Supplementary
Alternate Exterior Angles, Congruent
Alternate Interior Angles, Congruent
What is the angle relationship? Is it congruent or supplement…
What is the angle relationship? Is it congruent or supplement…
What is the angle relationship? Is it congruent or supplement…
What is the angle relationship? Is it congruent or supplement…
Corresponding Angles, Congruent
What is the angle relationship? Is it congruent or supplement…
Same-Side Interior Angles, Supplementary
What is the angle relationship? Is it congruent or supplement…
16 terms
Angles and Parallel lines -Geometry
If Parallel then Corresponding Angles…
If Parallel then Alternate Interior An…
If Parallel then Alternate Exterior An…
If Parallel then Consecutive Interior…
Postulate
Theorems
Theorems
Theorems
If Parallel then Corresponding Angles…
Postulate
If Parallel then Alternate Interior An…
Theorems
10 terms
High School Geometry - Unit 3 - Parallel Lines
Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
Same Side or Consecutive Interior Angles
Angles that are in the same relative position - they are cong…
Angles that are both inside the parallel lines and are on opp…
Angles that are both outside of the parallel lines and are on…
Angles that are both inside the parallel lines and are on the…
Corresponding Angles
Angles that are in the same relative position - they are cong…
Alternate Interior Angles
Angles that are both inside the parallel lines and are on opp…
14 terms
parallel lines (geometry)
parallel lines
skew lines
perpendicular lines
parallel planes
coplaner lines that never intersect
non-coplaner lines that do not intersect
2 lines that intersect at a 90 degree angle
planes that do not intersect
parallel lines
coplaner lines that never intersect
skew lines
non-coplaner lines that do not intersect
geometry angle parallel vocab
corresponding angle postulate
alternate interior angles theorum
alternate exterior angles theorum
consecutive interior angles theorum
if two parallel lines are cut by a transversal, then the pair…
if two parallel lines are cut by a transversal, then the pair…
if two parallel lines are cut by a transversal, then the pair…
if two parallel lines are cut by a transversal, then the pair…
corresponding angle postulate
if two parallel lines are cut by a transversal, then the pair…
alternate interior angles theorum
if two parallel lines are cut by a transversal, then the pair…
5 terms
Geometry proving lines parallel.
C p to d. Corresponding
A p to b. Alternate interior.
A p b. Consecutive interior.
1 and 14... A p to b. Alternate exterior.
2 congruent to 4
5 congruent 10
6+10=180
1 and 14
C p to d. Corresponding
2 congruent to 4
A p to b. Alternate interior.
5 congruent 10
10 terms
Geometry: Parallel Lines
Transversal
Alternate Interior Angles
Corresponding Angles
Consecutive Interior Angles
line that crosses 2 coplanar lines at 2 different points
angles in the interior of a transversal that are on the same…
Transversal
line that crosses 2 coplanar lines at 2 different points
Alternate Interior Angles
10 terms
Geometry Chapter 3 - Parallel and Perpendicular Lines
parallel lines
perpendicular lines
parallel planes
line perpendicular to a plane
lines in the same plane that never intersect
Lines that intersect to form right angles
planes that do not intersect
a line that intersects the plane in a point and is perpendicu…
parallel lines
lines in the same plane that never intersect
perpendicular lines
Lines that intersect to form right angles
19 terms
Geometry: Parallel & Perpendicular Lines
transversal
alternate angles
corresponding
Corresponding Angle Postulate
a line that crosses over two parallel lines
two angles that are on opposite sides of the transversal (int…
refer to the position in the group of four angles
corresponding angles are congruent
transversal
a line that crosses over two parallel lines
alternate angles
two angles that are on opposite sides of the transversal (int…
12 terms
Geometry Transversals and Parallel Lines
same side interior angles
alternate interior angles
corresponding angles
alternate exterior angles
lie on the same side of the transversal and between the inter…
non adjacent angles that lie on opposite sides of the transve…
lie on the same side of the transversal and on the same sides…
lie on opposite sides of the transversal and outside the inte…
same side interior angles
lie on the same side of the transversal and between the inter…
alternate interior angles
non adjacent angles that lie on opposite sides of the transve…
39 terms
Parallel and Perpendicular Lines Geometry
Parallel Lines
Skew lines
Transversal
Parallel Postulate
When two or more lines that do not intersect and are coplanar.
Lines that do not intersect an are not coplanar.
A line that intersects two or more lines in different points.
If there is a line and a point not on a line, then there is e…
Parallel Lines
When two or more lines that do not intersect and are coplanar.
Skew lines
Lines that do not intersect an are not coplanar.
8 terms
Geometry Parallel Lines, Transversals, & Angles Formed
Transversal
Corresponding Angles
Alternate Angles
Interior Angles
a line that intersects two or more lines in a plane at separa…
two angles on the same side of the transversal, on a differen…
two angles formed by a transversal and the lines it crosses,…
two angles formed by a transversal and the lines it crosses,…
Transversal
a line that intersects two or more lines in a plane at separa…
Corresponding Angles
two angles on the same side of the transversal, on a differen…
6 terms
Geometry - Parallel Lines & Angles
corresponding angles postulate
alternate interior angles theorum
consecutive interior angles theorum
alternate exterior angles theorum
if two parallel lines are cut by a transversal, the each pair…
if two parallel lines are cut by a transversal, then each pai…
if two parallel lines are cut by a transversal, then each pai…
if two parallel line are cut by a transversal, then each pair…
corresponding angles postulate
if two parallel lines are cut by a transversal, the each pair…
alternate interior angles theorum
if two parallel lines are cut by a transversal, then each pai…
12 terms
geometry parallel and perpendicular
skew lines
transversal
interior angles
exterior
noncoplanar lines that never intersect
lines that intersect 2 or more lines
angles in between 2 lines cut by transversal
angles outside 2 lines cut by transversal
skew lines
noncoplanar lines that never intersect
transversal
lines that intersect 2 or more lines
11 terms
Geometry parallel lines & Transversal
Parallel
Transversal
Interior
Interior angles
•Two lines which do not intersect ... •A solid arrow placed on…
•A line,Ray or segment that intersects 2 or more coplanar lin…
•The space INSIDE the 2 lines
•The angles that lie in the area between the two parallel lin…
Parallel
•Two lines which do not intersect ... •A solid arrow placed on…
Transversal
•A line,Ray or segment that intersects 2 or more coplanar lin…
47 terms
Geometry (parallel lines) Definitions
inductive reasoning
deductive reasoning
conjecture
counterexample
reasoning that is based on patterns you observe
(logical reasoning) the process of reasoning logically from g…
a conclusion that you reach using inductive reasoning
a conjecture is an example for which the conjecture is incorr…
inductive reasoning
reasoning that is based on patterns you observe
deductive reasoning
(logical reasoning) the process of reasoning logically from g…
22 terms
Geometry Chapter 4: Parallel Lines
Coplanar
Noncoplanar Lines
Interior Region
Exterior Region
lines, segments, rays, or points that lie on the same plane a…
also called skew lines; lines that lie on different planes.
the region bounded by both lines when a pair of lines are dra…
the outside area outside two lines when a pair of lines are d…
Coplanar
lines, segments, rays, or points that lie on the same plane a…
Noncoplanar Lines
also called skew lines; lines that lie on different planes.
9 terms
Geometry: Tranversals and Parallel Lines
Tranversal
Parallel Lines
Parallel Planes
Alternate Interior Angles
A line, ray, or line segment intersecting 2 other lines, rays…
2 lines that will not intersect
Ceiling and floor: 2 planes that do not intersect
Pair of angles on alternate sides of a tranversal, inside the…
Tranversal
A line, ray, or line segment intersecting 2 other lines, rays…
Parallel Lines
2 lines that will not intersect
12 terms
Geometry- Parallel lines and Transversals
Parallel lines
Parallel planes
Skew lines
Transversal
2 coplanar lines that do not interact; arrows are used to ind…
planes that do not intersect
non-coplanar lines that do not intersect
a line that intersects 2 or more lines
Parallel lines
2 coplanar lines that do not interact; arrows are used to ind…
Parallel planes
planes that do not intersect
19 terms
Geometry Parallel Perpendicular Lines
transversal
corresponding angles
alternate interior angles
alternate exterior angles
A line that intersects two or more coplanar lines at differen…
Two angles that lie on the same side of the transversal and o…
Two nonadjacent angles that lie on opposite sides of the tran…
Two angles that lie on opposite sides of the transversal and…
transversal
A line that intersects two or more coplanar lines at differen…
corresponding angles
Two angles that lie on the same side of the transversal and o…
18 terms
Geometry - Angles and Parallel Lines Vocabulary
right angle
obtuse angle
straight angle
complementary angles
An angle that measures exactly 90 degrees.
An angle that is >90 degrees and <180 degrees.
An angle that measures exactly 180 degrees.
Angles whose measure adds up to 90 degrees.
right angle
An angle that measures exactly 90 degrees.
obtuse angle
An angle that is >90 degrees and <180 degrees.
11 terms
Geometry Unit 3 - Parallel & Perpendicular Lines
Alternate Interior Angles
Alternate Exterior Angles
Consecutive Interior Angles (Same-Side…
Corresponding Angles
Angles on the inside of two lines and on opposite sides of a…
Angles on the outside of two lines and on opposite sides of t…
Angles on the inside of two lines and on the same side of the…
Angles in matching positions when a transversal crosses at le…
Alternate Interior Angles
Angles on the inside of two lines and on opposite sides of a…
Alternate Exterior Angles
Angles on the outside of two lines and on opposite sides of t…
15 terms
Chapter 4 Amsco Geometry Parallel Lines Vocabulary
coplanar
Skew Lines
Transversal
Perpendicular Bisector
On the same plane.
Lines in three dimensional space that do not intersect and ar…
A line that intersects two or more co-planar lines at differe…
A line, ray, segment, or plane that bisects a segment at a 90…
coplanar
On the same plane.
Skew Lines
Lines in three dimensional space that do not intersect and ar…
16 terms
Parallel and Perpendicular Lines Vocab (Geometry)
Parallel Lines
Skew Lines
Parallel Planes
Transversal
Coplanar lines that DO NOT intersect
non-coplanar; they are NOT parallel and DO NOT intersect
Planes that DO NOT intersect
A line that intersects two or more coplanar lines at distinct…
Parallel Lines
Coplanar lines that DO NOT intersect
Skew Lines
non-coplanar; they are NOT parallel and DO NOT intersect
14 terms
Parallel Lines and Transversals - geometry
parallel
Skew
transversal
Exterior Angles
when lines in the same plane do not intersect
when lines are not in the same plane and do not intersect
a line that intersects 2 more lines in a plane at different p…
Angles on the outside of the transversal and the two lines it…
parallel
when lines in the same plane do not intersect
Skew
when lines are not in the same plane and do not intersect
33 terms
Geometry: Unit 3 ~ Parallel + Perpendicular Lines + Lines
transversal
corresponding angles
interior angles
exterior angles
a line that intersects two other lines at different points
the angles that occupy the same relative position at each int…
angles between parallel lines
angles outside parallel lines
transversal
a line that intersects two other lines at different points
corresponding angles
the angles that occupy the same relative position at each int…
25 terms
Honors Geometry Parallel Lines
plane
coplanar
noncoplanar
parallel lines
undefined term... flat surface that extends infinitely in all di…
on the same plane
not on the same plane
2 coplanar lines that do not intersect
plane
undefined term... flat surface that extends infinitely in all di…
coplanar
on the same plane
11 terms
geometry- parallel etc
all right angles are
if 2 lines are perpendicular, then the…
if 2 lines intersect to form adjacent…
if 2 sides of adjacent acute angles ar…
congruent
4 right angles
perpendicular
complementary
all right angles are
congruent
if 2 lines are perpendicular, then the…
4 right angles
Geometry parallel lines
Transversal
How many angles does a transversal mak…
Corresponding angles
Alternate interior angles
Any line that intersects two or more lines in the same plane,…
8
The angles that appear to be in the same relative position in…
Angles that are wishing the lines being intersected, not adja…
Transversal
Any line that intersects two or more lines in the same plane,…
How many angles does a transversal mak…
8
13 terms
Geometry: Parallel and Parallelograms
If two lines are cut by a transversal…
AAS Congruence Theorem
HA Congruence Theorem
Angle Bisector Theorem
then the lines are parallel
If two angles and a side of one triangle are congruent respec…
If the hypotenuse and an acute angle of one right triangle ar…
A point P is on the bisector of an angle if and only if it is…
If two lines are cut by a transversal…
then the lines are parallel
AAS Congruence Theorem
If two angles and a side of one triangle are congruent respec…
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