Study sets matching "geometry parallel"

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Study sets matching "geometry parallel"

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…
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…
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…
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…
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…
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
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…
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
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
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
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
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 - 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
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
13 terms
Geometry 3: Parallel stuff
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
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…
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…
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…
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…
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
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…
42 terms
Geometry Unit 3 - Parallel and Perpendicular Lines
parallel lines
parallel planes
skew lines
transversal
coplanar lines that do not intersect, arrows on the figure ar…
planes that do not intersect
non-coplanar lines that are not parallel and do not intersect
a line that intersects two or more other lines
parallel lines
coplanar lines that do not intersect, arrows on the figure ar…
parallel planes
planes that do not intersect
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
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…
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…
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…
Geometry parallel lines and theorems
Converse of Corresponding Angle Postul…
Parallel Postulate
Converse of Alternate Interior Angles…
Converse of Alternate Exterior Angles…
Two coplanar lines are cut by a transversal so a pair of corr…
The parallel postulate guarantees that any line, you can alwa…
Two coplanar lines are cut by a transversal so a pair of alte…
Two coplanar lines are cut by a transversal so a pair of alte…
Converse of Corresponding Angle Postul…
Two coplanar lines are cut by a transversal so a pair of corr…
Parallel Postulate
The parallel postulate guarantees that any line, you can alwa…
Geometry- transversals and parallel lines
Corresponding angles
Same side interior angles
Alternate interior angles
Alternate exterior angles
Angles that lie on the same side of the transversal and on th…
Angles that lie on the same side of the transversal in betwee…
Angles that are nonadjacent and that lie. On opposite sides o…
Angles that lie on opposite sides of the transversal and outs…
Corresponding angles
Angles that lie on the same side of the transversal and on th…
Same side interior angles
Angles that lie on the same side of the transversal in betwee…
8 terms
proving lines parallel- geometry
alternate interior angles
same side interior angles
corresponding angles
alternate exterior angles
interior angles that are on opposite sides of the transversal
interior angles that are on the same side of the transversal
are on the same side of the transversal in corresponding posi…
nonadjacent exterior angles that are on the opposite sides of…
alternate interior angles
interior angles that are on opposite sides of the transversal
same side interior angles
interior angles that are on the same side of the transversal
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
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.
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
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…
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
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…
16 terms
Geometry: Ch 3: 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…
7 terms
Geometry Parallel Lines
Corresponding Angles
Alternate interior angles
Consecutive Interior Angles
Alternate Exterior Angles
Corresponding Angles
Alternate interior angles
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
35 terms
Geometry Chapter 3 Problems - Parallel Lines
9
20
17
15
Find the value of x.
Find the value of x.
Find the value of x.
Find the value of x.
9
Find the value of x.
20
Find the value of x.
Geometry parallel lines
If 2 same side interior angles angles…
2 corresponding angles are congruent
2 same side exterior = 180
2 opposite side interior angles are co…
Then the two lines are paralell
Then the two lines are paralell
Then the two lines are paralell
Then the two lines are parallel
If 2 same side interior angles angles…
Then the two lines are paralell
2 corresponding angles are congruent
Then the two lines are paralell
6 terms
Geometry (parallel angles)
Interior angles
Exterior angles
Alternate interior angles
Alternate exterior angles
Angles inside the parallel lines
Angles outside the parallel lines
Angles inside the parallel lines, but on opposite sides on th…
Angles outside the parallel lines, but on opposite sides of t…
Interior angles
Angles inside the parallel lines
Exterior angles
Angles outside the parallel lines
Geometry parallel lines
If two parallel lines are cut by a tra…
If two lines are cut by a transversal…
If two parallel lines are cut by a tra…
If two lines are cut by a transversal'…
Corresponding angles are congruent
The lines are parallel
Alternate interior angles are congruent
The lines are parallel
If two parallel lines are cut by a tra…
Corresponding angles are congruent
If two lines are cut by a transversal…
The lines are parallel
19 terms
Honors Geometry Parallel Lines
Two points are symmetric with respect…
In a plane, two points each equidistan…
Equal corresponding angles mean that l…
Equal alternate interior angles mean t…
...
...
...
...
Two points are symmetric with respect…
...
In a plane, two points each equidistan…
...
8 terms
Geometry - Parallel Lines
Vertical Angles
Linear Pair
Complimentary Angles
Corresponding Angles (F Shaped Angles)
Angle A = Angle B
Angle A + Angle B = 180°
Angle A + Angle B = 90°
Angle A = Angle B
Vertical Angles
Angle A = Angle B
Linear Pair
Angle A + Angle B = 180°
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
5 terms
Geometry-Parallel/Perpendicular Lines
Vertically Opposite, Adjacent
Parallel Lines
Corresponding
Cointerior
vertically opposite angles are equal in size
a line intersecting a pair of parallel lines is called a tran…
are equal in size
add to 180
Vertically Opposite, Adjacent
vertically opposite angles are equal in size
Parallel Lines
a line intersecting a pair of parallel lines is called a tran…
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