Question: What is the main show that these two figures were involved in?

Context articles: Blind Man's Bluff (Fragonard)
The X Factor (UK series 11)
Selina Trieff
Strictly Come Dancing: It Takes Two
Mr. Plow
Perspective (geometry)
Groupe de femmes
The Apprentice: You're Fired!
Homothetic center
Barney Gumble

Blind Man's Bluff (French: "Le collin maillard") is a painting by the French Rococo painter Jean-Honoré Fragonard, produced around 1769 in oil on canvas.
 It is full of deceptions – the girl is looking out from under her blindfold and the game seems to be a pretext leading to seduction; the two figures are in pastoral costume, but may be noble or bourgeois figures playing at being pastoral figures; the background seems to be a wood but could be a stage set.
 In short, it seems to abolish the boundary between truth and lies, reality and fiction.
The X Factor is a British television music competition to find new singing talent.
 The eleventh series began airing on ITV on 30 August 2014 and finished on 14 December 2014.
 Dermot O'Leary presented his eighth series of the main show on ITV and Sarah-Jane Crawford presented spin-off show "The Xtra Factor" on ITV2, replacing Caroline Flack and Matt Richardson.
 Louis Walsh was the only judge from series 10 to return and was joined by former judges Simon Cowell, and Cheryl Fernandez-Versini, and new judge Mel B.
 Sharon Osbourne, Gary Barlow and Nicole Scherzinger left after series 10.
 Former judge Tulisa returned as a guest judge for the final on 13 December due to Mel B being ill.
 The series also saw the lower age limit decreased from 16 to 14, as it was in series 4 and 5.
 This was Walsh's final series as a judge before returning in series 13.
 It was also the only series in which Mel B was a main judge.
 It was O'Leary's final series as presenter on the main show, as he announced on 27 March 2015 that he was leaving to pursue other projects, before returning in series 13.
 On 11 May, Crawford also confirmed via Twitter that she would leave her position as "The Xtra Factor" presenter.
Selina Trieff (born in Brooklyn, 1934 - 14 January 2015) was an American artist who painted and exhibited for over fifty years.
 Trieff painted archetypal figures in a flattened and heavily delineated manner, which acted at once as self-portraits and allegories for the human condition.
 She developed her singular style of figuration through her strong abstract roots which continued to evolve throughout her life.
 Although she most often painted figures and animals, Trieff considered herself an abstract artist.
 Among her animal paintings are "Green Goat with Moon" (1983), "Two Figures with Goat" (1997), "Three Figures with Green Goat" (1992) and "Connected" (1996).
Strictly Come Dancing: It Takes Two, also known as Strictly: It Takes Two or simply It Takes Two, is a British television programme, the companion show to the popular BBC One programme "Strictly Come Dancing".
 It is broadcast on weeknights during the run of the main show on BBC Two at 6:30 pm.
 Claudia Winkleman originally presented the show, however she left in 2011 and now presents the main show.
 Since 2011, Zoë Ball has presented the show.
"Mr. Plow" is the ninth episode of "The Simpsons"<nowiki>'</nowiki> fourth season.
 It originally aired on the Fox network in the United States on November 19, 1992.
 In the episode, Homer buys a snow plow and starts a business plowing driveways.
 It is a huge success, and inspired by this, Barney Gumble starts a rival company and quickly puts Homer out of business.
 The episode was written by Jon Vitti and directed by Jim Reardon.
 The episode was well received, with some critics calling it one of the best in the show's history.
 In 1993, Dan Castellaneta won his second Emmy Award for "Outstanding Voice-Over Performance" for this episode.
 The episode was also submitted in the "Outstanding Comedy Series" category although ultimately it was not nominated.
Two figures in a plane are perspective from a point "O" if the lines joining corresponding points of the figures all meet at "O".
 Dually, the figures are said to be perspective from a line if the points of intersection of corresponding lines all lie on one line.
 The proper setting for this concept is in projective geometry where there will be no special cases due to parallel lines since all lines meet.
 Although stated here for figures in a plane, the concept is easily extended to higher dimensions.
Groupe de femmes, also called Groupe de trois femmes, or Groupe de trois personnages, is an early Cubist sculpture created circa 1911 by the Hungarian avant-garde, sculptor, and graphic artist Joseph Csaky (1888–1971).
 This sculpture formerly known from a black and white photograph (Galerie René Reichard) had been erroneously entitled "Deux Femmes (Two Women)", as the image captured on an angle showed only two figures.
 An additional photograph found in the Csaky family archives shows a frontal view of the work, revealing three figures rather than two.
 Csaky's sculpture was exhibited at the 1912 Salon d'Automne, and the 1913 Salon des Indépendants, Paris.
 A photograph taken of Salle XI "in sitiu" at the 1912 Salon d'Automne and published in "L'Illustration", 12 October 1912, p. 47, shows "Groupe de femmes" exhibited alongside the works of Jean Metzinger, František Kupka, Francis Picabia, Amedeo Modigliani and Henri Le Fauconnier.
The Apprentice: You're Fired!
 is a comedy companion discussion programme, created by Mark Burnett in 2006, to run alongside the currently running series of "The Apprentice".
 While its initial series was aired on BBC Three, later series were broadcast on BBC Two since 2007, with the final episode aired on BBC One since 2008 as part of a two hour special with the main show.
 Operating on a similar format to that of "Big Brother's Little Brother" and "", each episode focuses on interviews between the host and panel of guests, with a candidate whose firing was recently shown on "The Apprentice", discussing about their performance in the contest and their best and worst bits, along with taking a look at highlights of the recent episode from the main show; with the final episode, dubbed The Apprentice: You're Hired!
, the host and panelists interview both the winner and the runner-up, along with Lord Sugar himself, while holding a reunion with all of the former candidates, and looking at the best highlights from from that year's competition.
In geometry, a homothetic center (also called a center of similarity or a center of similitude) is a point from which at least two geometrically similar figures can be seen as a dilation or contraction of one another.
 If the center is "external", the two figures are directly similar to one another; their angles have the same rotational sense.
 If the center is "internal", the two figures are scaled mirror images of one another; their angles have the opposite sense.
Barnard "Barney" Gumble is a fictional character on the American animated sitcom "The Simpsons".
 The character is voiced by Dan Castellaneta and first appeared in the series premiere episode "Simpsons Roasting on an Open Fire".
 He is the town drunk of Springfield and Homer Simpson's best friend.
 His desperation for alcohol is a frequent butt of jokes on the show.
 Barney sobered up in the episode "Days of Wine and D'oh'ses", which was co-written by Castellaneta, and stayed sober for several seasons.
 Barney was inspired by the cartoon character Barney Rubble from "The Flintstones" and by several barflies from other television programs.
 In 2004, Castellaneta won an Emmy Award for voicing various characters, including Barney.