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.
external image 3-2-proving-lines-parallel-paragraph-proof-pilarski.jpg
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.
external image alternate-interior.jpg
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.
alternate_exterior_angle_picture.gif
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

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
external image theorem_img4.gif
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-
external image consecutive-interior-angles.gif
Video-
http://www.youtube.com/watch?v=GcyIDwMe808
Consecutive interior angles converse Therom 3.6 - John Lee

Book Definition- If two lines are cut by a transversal so the consecutive interior angles are supplementry, then the lines are parallel

My Definition- if a transversal is cut by two lines, then the consecutive interior angles are supplementary so then the lines are parallel
Picture-
external image images?q=tbn:ANd9GcRkVbFWxvRMZLb-6q-yQypRpbEV2MzxS5Bc2niat4vUoVRdXTCXp-d7oV48
Video-
http://www.youtube.com/watch?v=cbMwDB1A1rA

Corresponding Angles-Katherine Dillman

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:
external image AnglesPairs.gif
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).

external image CorrespondingAnglesIllustration.jpg
http://www.youtube.com/watch?v=ShXSgMzxnP4

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:
corr.anglesconverse.png
Video:
http://www.youtube.com/watch?v=_u67SdLurrY

Distance Between a Point and a Line

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 external image dist07b.gif

external image Image3.png
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-

external image a5013393.png
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.

external image OC0111123_L2T4P1.gif

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

__
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.
external image Fig42.gif

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.
external image images?q=tbn:ANd9GcR2tYniw3Cn5mtRaasZtr37dvv5lvYpWzZt7dkUhr_ASD594Q7yjQzRB9V3
http://www.youtube.com/watch?v=XzlVgyetnlE

Skew lines

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:
external image coplanar-image007.gif
Video:
http://youtu.be/UN0nOrs_4EY

Slope

By Alex Zhou

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.

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

Slope Intercept Form

Jeremiah Ammons

Real Definition- y=mx+b
My defintion- y=mx+b
http://www.youtube.com/watch?v=Zj-9Zc9yKYU

3055_Slope_Intercept_Form_of_Equations_for_Honors.ppt.02.jpg

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

‍Theorem 3.8

Rachel Lucas

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:
perpendicular-lines.jpg
Video:
http://www.youtube.com/watch?v=LuENRjHt09w


Theorem 3.12

Alex brown

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:
perpendicular-transversal-theorem-image010.gif
Video:
http://www.schooltube.com/video/15006af61b49426085a1/35-Using-properties-of-parallel-lines

Transversal

By: Myles Ross
Real def.-A line that intersects two or more coplanar lines at different points.
My def.- A line that goes through two other lines.
Picture:
images.jpg
transversal lines