<transcript><audio_57> Eu estou dando, ao invés de dar a direção perpendicular à reta que eu quero, eu estou dando a mesma direção da reta. Em princípio, retas paralelas são retas que têm a mesma direção. Tá certo?</transcript><transcript><audio_58> uma reta que tenha a mesma direção de R, ou seja, uma paralela a R, passando por um ponto fora da reta que é dado aqui o ponto P. Claro que eu não vou pegar um ponto da reta agora nesse caso, porque pegar um ponto da reta significa que</transcript><caption><image_59>The image shows a man standing in front of a green chalkboard. He is wearing a blue t-shirt and glasses and appears to be giving a presentation. The chalkboard has white text written on it in Spanish. The text reads "Comunicaciones Geometráticos Lémparas" which translates to "Geometric Geometry Lessons" in English. The man is pointing to the text on the chalkboard with his right hand, as if he is explaining something. The background of the image is a classroom or lecture hall.</caption><transcript><audio_60> se eu tomasse um ponto sobre a reta aqui, o ponto A, R já era a reta que tem a mesma direção de R e que passa por A. Não tem outra reta diferente de R que tenha essas características. Vamos ver então como</transcript><caption><image_61>The image shows a man standing in front of a green chalkboard. He is wearing a blue t-shirt and glasses and appears to be deep in thought. On the chalkboard, there is a question written in white chalk. The question reads "Cómo hacer una imagen de la imagen" which translates to "What is the answer to a question?" in English. Below the question, there are two lines, one in white and one in black, that appear to be a mathematical equation. The man is holding a pen in his right hand and seems to be writing something on the board.</caption><transcript><audio_62> o que a gente está querendo nesse exercício. Bom, agora eu vou fazer o seguinte. Eu vou pegar o meu compasso</transcript><transcript><audio_63> aqui sobre a reta R</transcript><transcript><audio_64> circunferência aqui. Bom, vou achar que ponto que eu tinha pegado, que eu tirei, né? Eu devia ter primeiro escolhido um ponto. O ponto que eu tinha tomado era esse daqui.</transcript><transcript><audio_65> Ponto de ponto A. E aí, com essa circunferência, eu consegui um ponto B aqui. Com a mesma abertura, eu vou... Agora, com a ponta C.</transcript> now, I'm giving it instead of giving the direction  perpendicular to the straight line and what I want, I'm giving it the same direction as the straight line. In principle, parallel lines are straight lines that have the same direction. That's right, so the idea is to find a straight line that has the same direction as R, that is, a parallel line passing through R  by a point outside the line, which is given here as point P. Of course, I'm not going to take a point on the line now in this case because taking a point on the line means taking the same line, okay, or better if I took a point on the line  here the point at r was already the straight line and which has the same direction as R which passes through A ok there is no other line other than R which has these characteristics let's see how to find what we are wanting in this exercise Well now I'll go  do the following I'm going to take my compass, and I'm going to take a point Anywhere here on the straight line and draw this piece of circumference here, okay, I'm going to find what point I had taken that I took, right, I should have  first Choosing a point the point I had taken was this one here call this point point point a And then with this circumference I got a point b here it has the same opening with the same opening I go eh now with the
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