Defintion-If two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel.
My Definition-If two lines are intersected by a third line so that the opposite inside angles are the same measure, then the first two lines are parallel.

Definition - When two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.
My Definition - When two parallel lines are intersected by the a line, the interior angles opposite of each other are congruent.

Definition-Two angles that lie outside the two lines and on opposite sides of the transversal.
My Definition-Two angles that are on opposite sides of the transversal while remaining outside the two lines.

Alternate Exterior Angles Converse Theorem by Robin Bai

Definition: When the alternate exterior angles of two lines are equal by measure or congruent, you can indicate that the two lines are parallel.
My definition: If the alternate exterior angles of two lines intersected by a transversal are equal, then the two lines are parallel.
picture

Book Definition: "two angles that are formed by two lines and a transversal and occupy corresponding positions"
My definition: angles that are in the same place in the "x" and have the same measurement. For example, m & q are corresponding because they are in the upper left corner and they also have the same angle measurement.
Picture:

Corresponding Angles Postulate(Postulate 15)-Raven Royal

Definition-If 2 parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

My definition-If the 2 parallel lines are cut by a transversal, then the angles that are in the same position(corresponding angles) are the same(congruent).

Corresponding Angles Converse (Postulate 16)- Deanna Smith Definition- If 2 lines are cut by a transversal, and the resulting corresponding angles are congruent, then the two lines are parallel. My Definition- If two lines are cut by another new line, and the new corresponding angles are the same measure, then the original lines are parallel. Picture:

Laine Elliott
Definition: The length of a perpendicular segment from a point to a line.
My Definition: The distance between a point and a line can only be determined if the point is perpendicular to a point on the line. Once you have the two points the formula goes as follows

If there is a line and a point not on the line, then there is only exactly line through the point parallel to the given line.
There is only one line through a point parallel to the other line.

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Parallel Lines - James Kirby
Definition- Two lines that do not interesect and are coplanar.
My Definition- Lines that have the same slope and do not intersect
Picture- I can not put a picture on here because I am having computer difficulties at home and I have to use my iPad so every thing looks different and I can not post pictures on here.
Video- http://www.youtube.com/watch?v=zp94orT2XLs

Parallel Planes- Erin Krist

Book Definition- Two planes that do not intersect
My Definition- Two planes that never intersect and are parallel.

Definition- Two lines are perpindicular if and only if the product of their slopes is -1.
My Definition- When two line's slopes can be multiplied to get -1 then they are perpindicular.

by Joel Whitcomb
My Definition:2 lines that don't intersect and are coplanar
Real Definition: 2 lines are skew if they don't intersect and are coplanar Picture:

Textbook Definition: The slope m of any non vertical line is the ratio of the vertical change (the rise) to the horizontal change (the run) between any two points on the line.

My Definition: Slope is the ratio of the difference of the two Y's of two points to the difference of the two X's of the same two points, in the same order.

Real Definition: In a coordinate plane, two nonvertical lines are parallel if and only if the have the same slope.
My Definition:If two lines have the same slope, then the lines are parallel.
Picture:

Real Definition: If 2 lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.
My Definition: If 2 lines intersect and form adjacent 90* angles then they are perpendicular.
Picture:

Real Definition: In a plane, if two lines are perpindicular to the same line, then they are perpendicular to each other.
My Defenition: When a line is perpendicular to one of the two parallel , then it is perpendicular to the other line also (in a plane).
Picture:

## Alternate Interior Angles Converse-Alex Hoffman

Defintion-If two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel.My Definition-If two lines are intersected by a third line so that the opposite inside angles are the same measure, then the first two lines are parallel.

Video-

http://www.youtube.com/watch?v=9D1XSKsM0OQ

## Alternate Interior Angles Theorem

Definition - When two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.My Definition - When two parallel lines are intersected by the a line, the interior angles opposite of each other are congruent.

Alternate Interior Angles Video

## Alternate Exterior Angles-Andrew Chung

Definition-Two angles that lie outside the two lines and on opposite sides of the transversal.My Definition-Two angles that are on opposite sides of the transversal while remaining outside the two lines.

Video on alternate exterior angles:

http://www.google.com/url?sa=t&rct=j&q=videos%20on%20alternate%20exterior%20angles&source=web&cd=2&ved=0CCYQtwIwAQ&url=http%3A%2F%2Fwww.schooltube.com%2Fvideo%2F99d57b6093bb427cb8c3%2FAlternate-Exterior-Angles&ei=4_GlTtzFKpCdgQflupmBBQ&usg=AFQjCNE-kxlapZ9HAPklPwHx2FNU5CXuTw&cad=rja

Definition: When the alternate exterior angles of two lines are equal by measure or congruent, you can indicate that the two lines are parallel.by Robin BaiAlternate Exterior Angles Converse TheoremMy definition: If the alternate exterior angles of two lines intersected by a transversal are equal, then the two lines are parallel.

picture

Video

http://www.youtube.com/watch?v=PixCGXP7JoM

## Consecutive Interior Angles - Matthew Craig

## Book Definition- The pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles.

My Definition- Two angles on the same side of the transversal that equal 180 degrees.Picture-

Video-

http://www.youtube.com/watch?v=GcyIDwMe808

Consecutive interior angles converse Therom 3.6 - John LeeBook Definition- If two lines are cut by a transversal so the consecutive interior angles are supplementry, then the lines are parallelMy Definition-if a transversal is cut by two lines, then the consecutive interior angles are supplementary so then the lines are parallelPicture-Video-http://www.youtube.com/watch?v=cbMwDB1A1rA

Book Definition: "two angles that are formed by two lines and a transversal and occupy corresponding positions"Corresponding Angles-Katherine DillmanMy definition: angles that are in the same place in the "x" and have the same measurement. For example, m & q are corresponding because they are in the upper left corner and they also have the same angle measurement.

Picture:

Video Link:

http://www.youtube.com/watch?v=mN_gWzoLXZg

## Corresponding Angles Postulate(Postulate 15)-Raven Royal

## Definition-If 2 parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

## My definition-If the 2 parallel lines are cut by a transversal, then the angles that are in the same position(corresponding angles) are the same(congruent).

http://www.youtube.com/watch?v=ShXSgMzxnP4

Corresponding Angles Converse (Postulate 16)- Deanna SmithDefinition- If 2 lines are cut by a transversal, and the resulting corresponding angles are congruent, then the two lines are parallel.

My Definition- If two lines are cut by another new line, and the new corresponding angles are the same measure, then the original lines are parallel.

Picture:

Video:

http://www.youtube.com/watch?v=_u67SdLurrY

Laine ElliottDistance Between a Point and a LineDefinition: The length of a perpendicular segment from a point to a line.

My Definition: The distance between a point and a line can only be determined if the point is perpendicular to a point on the line. Once you have the two points the formula goes as follows

Video:

http://www.youtube.com/watch?v=bBKb1iS58-c

## Paragraph proof- Andrew Jurewicz

## my definition- a proof written as a paragraph

## definition- proof in paragraph form

## picture-

video-

http://www.youtube.com/watch?v=C6Rykh4OWBE

##

## Parallel postulate-kyle mitchell

If there is a line and a point not on the line, then there is only exactly line through the point parallel to the given line.There is only one line through a point parallel to the other line.

http://www.youtube.com/watch?v=wJ8TazL2JGw

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Parallel Lines - James Kirby

Definition- Two lines that do not interesect and are coplanar.

My Definition- Lines that have the same slope and do not intersect

Picture- I can not put a picture on here because I am having computer difficulties at home and I have to use my iPad so every thing looks different and I can not post pictures on here.

Video- http://www.youtube.com/watch?v=zp94orT2XLs

## Parallel Planes- Erin Krist

Book Definition- Two planes that do not intersectMy Definition- Two planes that never intersect and are parallel.

## Glossary-**Parallel Planes**

## Postulate 18- Robert Tulloss

Definition- Two lines are perpindicular if and only if the product of their slopes is -1.My Definition- When two line's slopes can be multiplied to get -1 then they are perpindicular.

http://www.youtube.com/watch?v=XzlVgyetnlE

## Skew lines

by Joel WhitcombMy Definition:2 lines that don't intersect and are coplanar

Real Definition: 2 lines are skew if they don't intersect and are coplanar

Picture:Video:http://youtu.be/UN0nOrs_4EY

## Slope

## By Alex Zhou

## Textbook Definition: The slope

mof any non vertical line is the ratio of the vertical change (the rise) to the horizontal change (the run) between any two points on the line.## My Definition: Slope is the ratio of the difference of the two Y's of two points to the difference of the two X's of the same two points, in the same order.

Picture:Video:http://www.youtube.com/watch?v=hXP1Gv9IMBo

Slope Intercept FormJeremiah AmmonsReal Definition- y=mx+bMy defintion- y=mx+b

http://www.youtube.com/watch?v=Zj-9Zc9yKYU

Slopes of Parallel Lines (Postulate 17)## Morgan Spruill

Real Definition: In a coordinate plane, two nonvertical lines are parallel if and only if the have the same slope.

My Definition:If two lines have the same slope, then the lines are parallel.

Picture:

Video:

http://www.youtube.com/user/khanacademy?blend=2&ob=5#p/search/0/T-aCweuimis

## Theorem 3.8

Rachel LucasReal Definition: If 2 lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.

My Definition: If 2 lines intersect and form adjacent 90* angles then they are perpendicular.

Picture:

Video:

http://www.youtube.com/watch?v=LuENRjHt09w

## Theorem 3.12

Real Definition: In a plane, if two lines are perpindicular to the same line, then they are perpendicular to each other.Alex brownMy Defenition: When a line is perpendicular to one of the two parallel , then it is perpendicular to the other line also (in a plane).

Picture:

Video:

http://www.schooltube.com/video/15006af61b49426085a1/35-Using-properties-of-parallel-lines

Transversal

Real def.-A line that intersects two or more coplanar lines at different points.By: Myles RossMy def.- A line that goes through two other lines.

Picture:

transversal lines