Types of triangles:
Triangles can be classified according to the relative lengths of their sides:
• In an equilateral triangle, all sides are of equal length. An equilateral triangle is also an equiangular polygon, i.e. all its internal angles are equal—namely, 60°; it is a regular polygon
• In an isosceles triangle, two sides are of equal length. An isosceles triangle also has two congruent angles (namely, the angles opposite the congruent sides). An equilateral triangle is an isosceles triangle, but not all isosceles triangles are equilateral triangles.
• In a scalene triangle, all sides have different lengths. The internal angles in a scalene triangle are all different.
Triangles can also be classified according to the their internal angles, described below using degrees of arc.
• A right triangle (or right-angled triangle, has one 90° internal angle (a right angle). The side opposite to the right angle is the hypotenuse; it is the longest side in the right triangle. The other two sides are the legs or catheti (singular: cathetus) of the triangle.
• An obtuse triangle has one internal angle larger than 90° (an obtuse angle).
• An acute triangle has internal angles that are all smaller than 90° (three acute angles). An equilateral triangle is an acute triangle, but not all acute triangles are equilateral triangles.
• An oblique triangle has only angles that are smaller or larger than 90°. It is therefore any triangle that is not a right triangle.
Congruent and Similar Triangles:
Rules in Geometry to tests for congruent triangles:
a. SAS Test – Side-Angle-Side
b. SSS Test - Side-Side-Side
c. ASA Test - Angle-Side-Angle d. AAS Test - Angle-Angle-Side
a.) Side-Angle-Side
The rule states that if two sides and the included angle are congruent to two sides and the included angle of a second triangle, the two triangles are congruent. An included angle is an angle created by two sides of a triangle.
b.) Side-Side-Side
The rule states that if three sides of one triangle are congruent to three sides of a second triangle, the two triangles are congruent.
c.) Angle-Side-Angle
The rule states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent. An included side is a side that is common to (between) two angles. For example, in the figure used in the problem below, segment AB is an included side to angles A and B.
d.) Angle-Angle-Side
The rule states that if two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, the two triangles are congruent.
CPCTC
When two triangles are congruent, all six pairs of corresponding parts (angles and sides) are congruent. This statement is usually simplified as corresponding parts of congruent triangles are congruent, or CPCTC for short.
Triangles can be classified according to the relative lengths of their sides:
• In an equilateral triangle, all sides are of equal length. An equilateral triangle is also an equiangular polygon, i.e. all its internal angles are equal—namely, 60°; it is a regular polygon
• In an isosceles triangle, two sides are of equal length. An isosceles triangle also has two congruent angles (namely, the angles opposite the congruent sides). An equilateral triangle is an isosceles triangle, but not all isosceles triangles are equilateral triangles.
• In a scalene triangle, all sides have different lengths. The internal angles in a scalene triangle are all different.
Triangles can also be classified according to the their internal angles, described below using degrees of arc.
• A right triangle (or right-angled triangle, has one 90° internal angle (a right angle). The side opposite to the right angle is the hypotenuse; it is the longest side in the right triangle. The other two sides are the legs or catheti (singular: cathetus) of the triangle.
• An obtuse triangle has one internal angle larger than 90° (an obtuse angle).
• An acute triangle has internal angles that are all smaller than 90° (three acute angles). An equilateral triangle is an acute triangle, but not all acute triangles are equilateral triangles.
• An oblique triangle has only angles that are smaller or larger than 90°. It is therefore any triangle that is not a right triangle.
Congruent and Similar Triangles:
Rules in Geometry to tests for congruent triangles:
a. SAS Test – Side-Angle-Side
b. SSS Test - Side-Side-Side
c. ASA Test - Angle-Side-Angle d. AAS Test - Angle-Angle-Side
a.) Side-Angle-Side
The rule states that if two sides and the included angle are congruent to two sides and the included angle of a second triangle, the two triangles are congruent. An included angle is an angle created by two sides of a triangle.
b.) Side-Side-Side
The rule states that if three sides of one triangle are congruent to three sides of a second triangle, the two triangles are congruent.
c.) Angle-Side-Angle
The rule states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent. An included side is a side that is common to (between) two angles. For example, in the figure used in the problem below, segment AB is an included side to angles A and B.
d.) Angle-Angle-Side
The rule states that if two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, the two triangles are congruent.
CPCTC
When two triangles are congruent, all six pairs of corresponding parts (angles and sides) are congruent. This statement is usually simplified as corresponding parts of congruent triangles are congruent, or CPCTC for short.
CRUMBS is an improvisational theatre duo based in Winnipeg, Manitoba, Canada. The duo consists of two actors, Stephen Sim, and Lee White. Other members include videographers, musicians, photographers, webmasters, illustrators, producers, agents, publicists, graphic designers, costume designers and hair and make-up artists. Since forming in 1997, they have been to festivals and shows all over North America and Europe. CRUMBS has performed across the world, including multiple appearances at the Berlin International Impro Festival and the World Domination Theatresports Tournament presented annually in Atlanta by Dad's Garage Theatre Company. They also perform regularly in the Winnipeg Fringe Festival. They specialize in long-form improvisation.
Subdrop is a name given in BDSM to a feeling experienced by the submissive after a scene.
The coming down after experiencing subspace and the return to normality can happen quickly, or slowly. It can be a nice experience, or a bad one. The effects, good or bad, can last almost no time at all, or they can go on for hours, even days. Subdrop is very subjective and personal.
Care
Dominant
For the dominant, the care of their submissive should be paramount, and maintaining control of oneself at all times is integral to taking that care. The effects of subdrop (it's usually referred to as subdrop when these are "bad" effects) are manifestly similar to a kind of depressive state.
Submissive
After the submissive has rested, and even after sleeping, there can be spontaneous outbursts of emotion: tears, fear, happiness etc. Some dominants may see these as a need to be comforted, and looked after, to be held, told how much the sub is needed, and how important the sub is. Submissives can crave attention, and often the sub psyche feels that they have lost the massive attention which they had before (during the scene) from their dominant, and this can cause the unease, and charged emotions that may occur in a sub drop situation. Added to this of course, are the hugely elevated amounts of naturally produced hormones (endorphins, adrenaline etc) that are still flowing around the sub's body. These may take some time to return to normal levels, and there may well be a withdrawal effect, too. The exact psychological impact varies from person to person and the interplay between mechanisms is not well understood. All of the information on this subject is anecdotal.
The coming down after experiencing subspace and the return to normality can happen quickly, or slowly. It can be a nice experience, or a bad one. The effects, good or bad, can last almost no time at all, or they can go on for hours, even days. Subdrop is very subjective and personal.
Care
Dominant
For the dominant, the care of their submissive should be paramount, and maintaining control of oneself at all times is integral to taking that care. The effects of subdrop (it's usually referred to as subdrop when these are "bad" effects) are manifestly similar to a kind of depressive state.
Submissive
After the submissive has rested, and even after sleeping, there can be spontaneous outbursts of emotion: tears, fear, happiness etc. Some dominants may see these as a need to be comforted, and looked after, to be held, told how much the sub is needed, and how important the sub is. Submissives can crave attention, and often the sub psyche feels that they have lost the massive attention which they had before (during the scene) from their dominant, and this can cause the unease, and charged emotions that may occur in a sub drop situation. Added to this of course, are the hugely elevated amounts of naturally produced hormones (endorphins, adrenaline etc) that are still flowing around the sub's body. These may take some time to return to normal levels, and there may well be a withdrawal effect, too. The exact psychological impact varies from person to person and the interplay between mechanisms is not well understood. All of the information on this subject is anecdotal.
T-Rock® (born Antonio Washington on March 26 1981) is an American rapper from Atlanta, Georgia. He is best known for his works during his 4 year stint with Three 6 Mafia's label, Hypnotize Minds, mainly for his solo track from Three 6's Choices soundtrack, "Slang & Serve".
History
Washington grew up in College Park on the southside of Atlanta. He began rapping during his early teens, and was able to fund his first record, Throw Yo Neighborhood Up, in 1996. Anthony, friend and former group mate Odd-1, and others helped contribute to the tape. Not too long later, his tape fell into the hands of Three 6 Mafia affiliate MC Mack, who took Washington under his wing and got him, DJ Paul and Juicy J into a meeting to consider the young up-and-comer for a contract. He was later signed to his first major label recording deal at 17.
Music
Washington began rapping on other's records, whether it be for Three 6's albums, or other label mates' records, such as Gangsta Boo, Project Pat, or Indo G, just to name a few, while working on his upcoming major-label debut Rock Solid/4:20. The months went by and by and his debut was constantly delayed, though he was always present on other projects. He became more and more restless, and this was a key reason as to why there was a falling out between him and Paul and Juicy. Also, rumors began arising that Paul and Juicy had gone to a local Atlanta radio station and deliberately dissed young T-Rock. He also claimed that he was never paid for any of the verses that he supplied for any of his label mates. He left Hypnotize Minds shortly thereafter.
Secret Service Inc.
Being free from his former label, Washington was quickly picked up by underground Memphis record label, Secret Service Inc. He quickly began recording for his debut album, Conspiracy Theory, and making appearances here and there. In 2002, his time finally came as he released his long-overdue debut album. Conspiracy Theory contained his first single, "Mr. Big Man", which is a dis track toward DJ Paul. He recorded a video for it, but it was kept under wraps and never saw the public eye. Whilst recording for SSI, he ventured into other ideas and started a label of his own, Rock Solid Music. During his stay at SSI, he released his second album, The Myth of Reality. After its initial release, he again became solely focused on his home label and began works on his third album, second for this label, Defcon 1: Lyrical Warfare.
During the making of this album, he recorded many records lashing out at his former label mates Three 6 Mafia and those whom they had signed after his departure, most notably "Fuck 3-6", "Executive Squad", which was a song featuring all of the rappers signed to SSI, though only T-Rock's verses were devoted to dissing Three 6, and "Who You Scarin'". However, on The Fix DVD, he stated that the dis records were never meant to be put out, and he had already left the label prior to Defcon 1 being released. Regardless of his wishes, Defcon 1 was released in 2003, containing the records that dissed his old label. The records found their way to Paul, Juicy, Lord and Crunchy, which led to a fight in Birmingham, Alabama, in which they allegedly broke his collar bone. DJ Paul references this in Three 6 Mafia's 2003 album, Da Unbreakables on the song "Let's Start a Riot." His entire verse is devoted to belittling T-Rock and uses the line "By the way, nigga, how's ya collar bone doin'?"
Rock Solid Music
Washington left the label in late 2001, having not been paid for either album, most likely due to a contractual issue, to focus all of his efforts to his own label, which had been put on hold while at SSI. To add to his non-payment history, Paul and Juice released Rock Solid/4:20 on a small sub-label, Club Memphis Music in the same year, which ended up being his highest-selling album to date. He began working heavily in the studio, releasing mixtapes, a collab album with Deep South, ATL Badboys, solo albums, and appearing on many people's songs. In 2004, he released the third project on his own label, The Mr. Washington Story. Shortly after, he released Slang & Serve, which was a mixtape featuring other well-known rappers from around his area, including Lil' Scrappy and Bohagon. He has since released numerous mixtapes, and began signing rappers from all around the South to bulk up his roster. Odd-1, whom he had met while in the 8th grade, left Rock Solid Music to pursue his own solo career in early 2007. On May 29, he released his latest effort, Da Kush.
Though he is a predominantly underground and independent artist, Washington has worked with a plethora of many well-known rappers, such as Three 6 Mafia, Pastor Troy, Lil' Scrappy, , and of , Young Buck, and even Bizzy Bone, formerly of Bone Thugs-n-Harmony.
Upcoming Projects
He is currently working on a collaboration album with Memphis rapper/producer Mr. Sche called Vendetta, which is also slated to come out in 2007. He also has plans to release an album which compiles all of the Rock Solid Music roster onto one album this year as well, called The Royal Family, which is to be released on September 4 2007, prior to "Vendetta". Along with the compilation, he plans to release his first group album Behind Enemy Lines shortly after.
He is also gearing up the re-releases of all of his underground albums throughout his career. They will feature new cover art, enhanced quality, and will contain unreleased tracks from the time when The Mr. Washington Story was made to when Da Kush was.
Discography
Solo
*Throw Yo Neighborhood Up
**Released: 1996; August 14 2006
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
*Conspiracy Theory
**Released: June 25 2002
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles: "Mr. Big Man"
**Label: Secret Service Inc.
*The Myth of Reality
**Released: 2002
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
*Rock Solid/4:20
**Released: February 18 2003
**Chart positions:
**U.S. sales: 20,000+
**RIAA certification:
**Singles:
**Label: Club Memphis Music
*Defcon 1: Lyrical Warfare
**Released: August 19 2003
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Secret Service Inc.
*Rock Solid 2003 Vol. 1
**Released: 2003
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
*Da Clean Up Project
**Released: 2003
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
*The Mr. Washington Story
**Released: March 23 2004
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
*Slang & Serve
**Released: November 21 2004
**Chart positions:
**U.S. sales:
**Singles:
**Label: Rock Solid Music
*Etched In Stone: The Lost Chronicles Vol. 1
**Released: 2005
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
*On da Grind: Rock Solid Edition
**Released: 2005
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
*Rock Solid 2003 Vol. 2
**Released: April 24 2005
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
*Universal Mackin
**Released: January 6 2006
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
*4:20/Reincarnated
**Released: June 27 2006
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
*Da Kush
**Released: May 29 2007
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles: "Pull Up to da Light"
**Label: Rock Solid Music
*The Burning Book
**Released: 2008
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
Collaborations
*ATL Badboys
**With: Deep South
**Released: October 7 2003
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Deep South/Rock Solid Music
*United Ghettos
**With:
**Released: April 3 2007
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Ghetto Musik
*The Royal Family
**With: Rock Solid Camp
**Released: September 4 2007
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles
**Label: Rock Solid Music
Guest appearance compilation
*Guest Appearances Vol. 1
**Released: August 21 2007
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
Trivia
* Washington was in a brief feud over the name of T-Rock with a rapper also using that name which ironically happened to be from Atlanta, Georgia as well (signed to So So Def). Having had the name before the latter, this led to Washington having "T-Rock" trademarked, which can be seen on the cover of Da Kush (there is a TM to the top right of "T-Rock").
References / Sources
* http://www.cinephiles.net
* http://www.iapstore.com/store/catalog/advanced_search_result.php?keywords=T-Rock
*
*
History
Washington grew up in College Park on the southside of Atlanta. He began rapping during his early teens, and was able to fund his first record, Throw Yo Neighborhood Up, in 1996. Anthony, friend and former group mate Odd-1, and others helped contribute to the tape. Not too long later, his tape fell into the hands of Three 6 Mafia affiliate MC Mack, who took Washington under his wing and got him, DJ Paul and Juicy J into a meeting to consider the young up-and-comer for a contract. He was later signed to his first major label recording deal at 17.
Music
Washington began rapping on other's records, whether it be for Three 6's albums, or other label mates' records, such as Gangsta Boo, Project Pat, or Indo G, just to name a few, while working on his upcoming major-label debut Rock Solid/4:20. The months went by and by and his debut was constantly delayed, though he was always present on other projects. He became more and more restless, and this was a key reason as to why there was a falling out between him and Paul and Juicy. Also, rumors began arising that Paul and Juicy had gone to a local Atlanta radio station and deliberately dissed young T-Rock. He also claimed that he was never paid for any of the verses that he supplied for any of his label mates. He left Hypnotize Minds shortly thereafter.
Secret Service Inc.
Being free from his former label, Washington was quickly picked up by underground Memphis record label, Secret Service Inc. He quickly began recording for his debut album, Conspiracy Theory, and making appearances here and there. In 2002, his time finally came as he released his long-overdue debut album. Conspiracy Theory contained his first single, "Mr. Big Man", which is a dis track toward DJ Paul. He recorded a video for it, but it was kept under wraps and never saw the public eye. Whilst recording for SSI, he ventured into other ideas and started a label of his own, Rock Solid Music. During his stay at SSI, he released his second album, The Myth of Reality. After its initial release, he again became solely focused on his home label and began works on his third album, second for this label, Defcon 1: Lyrical Warfare.
During the making of this album, he recorded many records lashing out at his former label mates Three 6 Mafia and those whom they had signed after his departure, most notably "Fuck 3-6", "Executive Squad", which was a song featuring all of the rappers signed to SSI, though only T-Rock's verses were devoted to dissing Three 6, and "Who You Scarin'". However, on The Fix DVD, he stated that the dis records were never meant to be put out, and he had already left the label prior to Defcon 1 being released. Regardless of his wishes, Defcon 1 was released in 2003, containing the records that dissed his old label. The records found their way to Paul, Juicy, Lord and Crunchy, which led to a fight in Birmingham, Alabama, in which they allegedly broke his collar bone. DJ Paul references this in Three 6 Mafia's 2003 album, Da Unbreakables on the song "Let's Start a Riot." His entire verse is devoted to belittling T-Rock and uses the line "By the way, nigga, how's ya collar bone doin'?"
Rock Solid Music
Washington left the label in late 2001, having not been paid for either album, most likely due to a contractual issue, to focus all of his efforts to his own label, which had been put on hold while at SSI. To add to his non-payment history, Paul and Juice released Rock Solid/4:20 on a small sub-label, Club Memphis Music in the same year, which ended up being his highest-selling album to date. He began working heavily in the studio, releasing mixtapes, a collab album with Deep South, ATL Badboys, solo albums, and appearing on many people's songs. In 2004, he released the third project on his own label, The Mr. Washington Story. Shortly after, he released Slang & Serve, which was a mixtape featuring other well-known rappers from around his area, including Lil' Scrappy and Bohagon. He has since released numerous mixtapes, and began signing rappers from all around the South to bulk up his roster. Odd-1, whom he had met while in the 8th grade, left Rock Solid Music to pursue his own solo career in early 2007. On May 29, he released his latest effort, Da Kush.
Though he is a predominantly underground and independent artist, Washington has worked with a plethora of many well-known rappers, such as Three 6 Mafia, Pastor Troy, Lil' Scrappy, , and of , Young Buck, and even Bizzy Bone, formerly of Bone Thugs-n-Harmony.
Upcoming Projects
He is currently working on a collaboration album with Memphis rapper/producer Mr. Sche called Vendetta, which is also slated to come out in 2007. He also has plans to release an album which compiles all of the Rock Solid Music roster onto one album this year as well, called The Royal Family, which is to be released on September 4 2007, prior to "Vendetta". Along with the compilation, he plans to release his first group album Behind Enemy Lines shortly after.
He is also gearing up the re-releases of all of his underground albums throughout his career. They will feature new cover art, enhanced quality, and will contain unreleased tracks from the time when The Mr. Washington Story was made to when Da Kush was.
Discography
Solo
*Throw Yo Neighborhood Up
**Released: 1996; August 14 2006
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
*Conspiracy Theory
**Released: June 25 2002
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles: "Mr. Big Man"
**Label: Secret Service Inc.
*The Myth of Reality
**Released: 2002
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
*Rock Solid/4:20
**Released: February 18 2003
**Chart positions:
**U.S. sales: 20,000+
**RIAA certification:
**Singles:
**Label: Club Memphis Music
*Defcon 1: Lyrical Warfare
**Released: August 19 2003
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Secret Service Inc.
*Rock Solid 2003 Vol. 1
**Released: 2003
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
*Da Clean Up Project
**Released: 2003
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
*The Mr. Washington Story
**Released: March 23 2004
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
*Slang & Serve
**Released: November 21 2004
**Chart positions:
**U.S. sales:
**Singles:
**Label: Rock Solid Music
*Etched In Stone: The Lost Chronicles Vol. 1
**Released: 2005
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
*On da Grind: Rock Solid Edition
**Released: 2005
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
*Rock Solid 2003 Vol. 2
**Released: April 24 2005
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
*Universal Mackin
**Released: January 6 2006
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
*4:20/Reincarnated
**Released: June 27 2006
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
*Da Kush
**Released: May 29 2007
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles: "Pull Up to da Light"
**Label: Rock Solid Music
*The Burning Book
**Released: 2008
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
Collaborations
*ATL Badboys
**With: Deep South
**Released: October 7 2003
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Deep South/Rock Solid Music
*United Ghettos
**With:
**Released: April 3 2007
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Ghetto Musik
*The Royal Family
**With: Rock Solid Camp
**Released: September 4 2007
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles
**Label: Rock Solid Music
Guest appearance compilation
*Guest Appearances Vol. 1
**Released: August 21 2007
**Chart positions:
**U.S. sales:
**RIAA certification:
**Singles:
**Label: Rock Solid Music
Trivia
* Washington was in a brief feud over the name of T-Rock with a rapper also using that name which ironically happened to be from Atlanta, Georgia as well (signed to So So Def). Having had the name before the latter, this led to Washington having "T-Rock" trademarked, which can be seen on the cover of Da Kush (there is a TM to the top right of "T-Rock").
References / Sources
* http://www.cinephiles.net
* http://www.iapstore.com/store/catalog/advanced_search_result.php?keywords=T-Rock
*
*